Solve |3x| + 3 < 2. Question 13 options: A) All real numbers B) –1 < x < 1 C) x > 1 or x < –1 D) There is no solution.

On solving the provided question, we can say that on subtraction we got 5 grams .

Along with addition, multiplication, and division, subtraction is one of the four arithmetic operations. An operation called subtraction simulates removing an item from a collection. As seen in the illustration below, there are 5 x 2 peaches. As a result, 2 of the 5 peaches are taken out, leaving 3 peaches. Subtraction in arithmetic refers to taking away from or adding to a group. The amount of items in a group is diminished or reduced by subtraction. A component of the subtraction problem is the minuend, subtrahend, and difference.

400 grams of water were used initially,

and Sue added salt to create a salt solution.

Sue has to add 5 grams of salt in order to make 405 grams of salt solution from 400 grams of water.

x = 405 - 400 = 5grams

To know more about subtraction visit:

https://brainly.com/question/2346316

#SPJ1

The equation in slope-intercept form is y= 3x+2

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

(x1,y1)=(-1, -1)

(x2,y2)=  (-3, -7)

m = (y2-y1)/(x2-x1)

   = (-7-(-1))/(-3-(-1))

   = (-7+1)/(-3+1)

   = -6/-2

m = 3

y-y1=m(x-x1)

y-(-1)=3(x-(-1))

y+1=3(x+1)

y+1=3x+3

=> y= 3x+3-1

=> y= 3x+2

So, the equation in slope-intercept form is y= 3x+2

To learn more about the slope from the given link

https://brainly.com/question/16949303

#SPJ1

a. sin(-60) = -(√3/2

cos (-60) = 1/2

b. sin ( 135) = 1/√2

cos (135) = -1/√2

c. sin (390) = 1/2

cos (390) = √3/2

A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system. When the two axes, x-axis and y-axis, intersect each other at 90 degrees, the four regions so formed are the quadrants. These regions include both positive and negative values of x-axis and y-axis, called coordinates.

. In the first quadrant,All the trigonometry functions are positive and in quadrant two, three and four respectively, sine , tan and cos are positive respectively.

sin ( -60) = sin(360-60) = sin 300= -(√3/2)

cos (-60) = cos 300 = 1/2

sin135= sin(180-135) = sin45 = 1/√2 = 1/√2

cos 135 = cos(180-45) = cos45 = -1/√2 ( cos in negative in second quadrant)

sin390 = sin( 360-390) = -sin-(30) = 1/2( sine is negative in fourth quadrant

cos 390 = cos (360-390) = cos(-30) = 1/2( cosine is positive in fourth quadrant).

learn more about quadrant from

https://brainly.com/question/25038683

#SPJ1

The exact values of the cosine and sine of each angle 135 and -390 is 0

To find the exact angles, we can also use the trig identities.

sin(135)    can be written as addition and subtraction angle identity.  Think of 2 angles we can easily find sine and cosine of on a unit circle, and the sum of the angle is 135

290 and 45  work because    45 +90 = 135

Therefore, we have an addition  angle identity.

sin(135) = sin(45 +90)

              = sin(45)cos(90) + cos(45)sin(90)

              = 0.7 * 0 + 0.7*1

               =0.7

sin(135) = 0.7 / 2)

Next, use the identity sin2(x) + cos2(x) = 1  to find cos(135).

cos(135) =  0.7 * 0 * 0.7*1

= 0

However, cosine is negative in the third quadrant, is 0

Learn more about quadrant angles on https://brainly.com/question/7196312

#SPJ1

Answer:

a)  x = 11

If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.

b)  x = 7

If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.

Step-by-step explanation:

Alternate Exterior Angles Theorem

If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the opposite side of the transversal line are congruent.

If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.

[tex]\implies (4x+1)^{\circ}=45^{\circ}[/tex]

[tex]\implies 4x+1=45[/tex]

[tex]\implies 4x=44[/tex]

[tex]\implies x=11[/tex]

Same-side Exterior Angles Theorem

If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary.

If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.

[tex]\implies (9x+2)^{\circ}+(17x-4)^{\circ}=180^{\circ}[/tex]

[tex]\implies 9x+2+17x-4=180[/tex]

[tex]\implies 9x+17x+2-4=180[/tex]

[tex]\implies 26x-2=180[/tex]

[tex]\implies 26x=182[/tex]

[tex]\implies x=7[/tex]

The required perimeter of the given figure is Perimeter = 2 [length  + width].

Perimeter is the measure of the figure on its circumference.

here,
Questions seem to be incomplete, let's assume that the figure resembles a rectangle,
So,
the perimeter of the figure is given as,
Perimeter = 2 × length + 2 × width
Perimeter = 2 [length  + width]

Thus, the required perimeter of the given figure is Perimeter = 2 [length  + width].

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ1

The reasons for the proof are shown in the explanation below.

A transversal is straight line that intersect two parallel lines, thus producing a set of angles with some common properties.

The reasons for the proof required in the question are explained in the table below:

          STATEMENT                                    REASON

1. AB II DC ; m<BCD + m<BEF = 180^o      Given

2. <3 ≅ <1                                                    Corresponding angle theorem

3. <4 + <5 = 180^o                                      Definition of supplementary angles

4. <3 ≅ <5                                                   Vertical angle property

5. <5 ≅ <2                                                   Corresponding angle theorem

6. <3 ≅ <2                                      Corresponding property of vertical angles

7. BC II EF                                                   Definition of parallel lines

Learn more about properties of a transversal at https://brainly.com/question/21478278

#SPJ1

Note that 7 percent of Robert's Salary goes toward commissions.

Let's call the amount of Roberto's salary that goes towards commissions x.

First, we can calculate the total amount of Roberto's benefits:

($25,000 * 15%) + ($25,000 * 10%)

= $3,750 + $2,500

= $6,250

Next, we can subtract the benefits from Roberto's total salary to find the amount that goes towards commissions:

$33,000 - $25,000 - $6,250

= $1,750

Thus,  the percentage of Roberto's salary that goes towards commissions is:

$1,750 / $25,000 = 7%

It is correct to state, therefore, that 7% of Roberto's salary goes towards commissions.

Learn more about Salary:
https://brainly.com/question/14371457
#SPJ1

Step-by-step explanation:

for what question ?

just in case, always remember Pythagoras

c² = a² + b²

with c being the Hypotenuse, a and b are the legs.

then there is the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

a,b,c being the sides opposite of the A, B, C angles.

and as always : the sum of all angles in a triangle is always 180°.

1.

a)

angle A = 180 - 90 - 35 = 55°

a/sin(55) = 15/sin(90) = 15

a = 15×sin(55) = 12.28728066... m

b)

angle A = 180 - 90 - 25 = 65°

250/sin(65) = b/sin(90) = b = 275.8444797...

2.

a)

remember the trigonometric triangle with the up/down leg being sine (multiplied by the circle radius, which is the Hypotenuse of the triangle), and the left/ right leg being cosine (again multiplied by the Hypotenuse).

5 = 12×sin(x)

sin(x) = 5/12 = 0.416666666...

x = 24.62431835...°

b)

the same principle as for a), just now we need cosine.

12 = 15×cos(x)

cos(x) = 12/15 = 4/5 = 0.8

x = 36.86989765...°

3.

AB² = 125² + 65² = 15625 + 4225 = 19850

AB = sqrt(19850) = 140.890028... cm

angel C = 90°

125/sin(B) = 65/sin(A) = 140.890028.../sin(90)

sin(B) = 125/140.890028... = 0.887216801...

angle B = 62.52556837...°

angle A = 180 - 90 - 62.52556837... = 27.47443163...°

Answer:

[tex]-27[/tex]

Step-by-step explanation:

[tex]5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27[/tex]

In slope intercept form is 15.When the line to be examined's slope is known, and the provided point also serves as the y intercept.

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.

In slope intercept form, y=mx+b, or in your instance, c=mx+b, where b=15, x=number of movies, and b=2 dollars per CD, so C=2x+15 so that the C intercept is when x=0, so set x to 0 and get 2(0)+15=C 0+15=C C=15 Cintercept=15 slope=m thus slope=2 C intercetp=15 so that.

To learn more about slope intercept form refer to:

https://brainly.com/question/1884491

#SPJ1

By calculating the given expression -1 1/2 minus -2.1​ we get 1.6

or 8/5 .

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables , constants and exponents.

Given expression,

-1 whole (1/2) minus -2.1

so -1 whole (1/2) can be written as = -2+1 / 2 = -1/2

so -2.1 can be written as = -21/10

-1/2 - (-21/10)

= -1/2 + 21/10

= 21/10 - 1/2

= 21-5/ 10

= 16/10

= 1.6

Hence , By calculating the given expression -1 1/2 minus -2.1​ we get 1.6

or 8/5 .

To learn more about Algebraic expression from the given link.

https://brainly.com/question/953809

#SPJ1

To solve this problem, we need to use the formula:

time = work / rate, by using the formula we can say it will take Carmen 0.6 hours to plow 2.1 acres of land.

A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

where time is the amount of time it takes to do a certain amount of work, work is the amount of work that needs to be done, and rate is the amount of work that can be done in a certain amount of time.

In this case, the work is 2.1 acres of land, the rate is 3.5 acres per hour, and we need to find the time. So we can plug in the given values into the formula and get:

time = 2.1 / 3.5

time = 0.6 hours

So it will take Carmen 0.6 hours to plow 2.1 acres of land.

Learn more about rate visit:

brainly.com/question/119866

#SPJ1

Adding up all the data points during a specific period and dividing the sum by the number of time periods.

To compute a simple moving average, divide the number of prices during a time period by the total number of periods. A moving average is a technical indicator used by investors and traders to assess the direction of a security’s trend. It is determined by adding up all of the data points for a certain time period and dividing the total by the number of time periods.

For example, if we have the closing price data for the previous 30 days and need to estimate the price for the following day, we may add the 30 days’ closing price value and divide it by 30 to obtain the prediction of the next day.

To learn more about moving average to refer:

https://brainly.com/question/28259076

#SPJ1

Answer: 559.60$ before tax

              593.176$ or 593.18$

Step-by-step explanation:

Answer:

$46.63

Step-by-step explanation:

A dozen (12) computer disks costs $69.95

8 is two thirds of a dozen, and so 8 computer disks will cost two thirds of the price.

69.95 * [tex]\frac{2}{3}[/tex] = $46.63 (rounded to nearest cent)

Therefore the price of 8 disks is $46.63

The measure of the angle ∠K is 50° and the measure of the angle ∠M is 90°.

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that the external angle at point k is 130. By the property of supplementary angles, the value of the angle k will be,

k = 180 - 130

k = 50°

The measure of the angle M will be,

∠m + ∠L +∠k = 180

∠m = 180 - 40 - 50

∠m = 90

To know more about lines and angles follow

https://brainly.com/question/25770607

#SPJ1

Answer:

The first option

15, 900 grams

Step-by-step explanation:

Total number of bolts = 600

Out of these 35% are small bolts
35% of 600 = 0.35 x 600 = 210

Total mass of 210 small bolts = 210 x 20 = 4200 grams

The remaining number of bolts = 600 - 210 = 390 large bolds

Their total mass = 390 x 30 = 11,700 gms

Total mass of all 600 bolds = 4,200 + 11, 700 = 15, 900 grams

This is the first of the listed choices

Answer:

0.05x + 0.25y = 4.65

Step-by-step explanation:

Let x = number of nickels.

Let y = number of quarters.

0.05x + 0.25y = 4.65

By solving the system of linear equations we get x = 26 and y = 13.

What is Linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

Given,

Augustine and Raúl are selling tickets for a raffle. Together they sell 36 tickets. Augustine sells 10 more tickets than Raúl. The situation can be represented by the system of equations shown, where x is the number of tickets Augustine sells and y is the number of tickets Raúl sells.

x+y=36 ----- The total number of tickets they sell is 36.

x=y+10 ----- Augustine sells 10 more tickets than Raúl.

So substitute x = y+10 in x+y = 36

we get ,

y+10+y = 36

2y + 10 = 36

2y = 36 - 10

y = 26 / 2

y = 13

Substitute y = 13 in x= y+10

we get,

x = 13 + 10

x = 26

Hence, By solving the system of linear equations we get x = 26 and y = 13

To learn more about Linear Equation from the given link.

brainly.com/question/29739212

#SPJ1

Answer: 90 Ns

Step-by-step explanation:

The impulse given to a 3 kg ball can be calculated by using the equation impulse = mass x change in velocity. In this case, the impulse would be:

impulse = 3 kg x 30 m/s = 90 Ns

So the impulse given to a 3 kg ball if its velocity increases by 30 m/s is 90 Ns

It's important to note that the impulse is a vector quantity and it's a measure of how much momentum is transferred to an object during a collision. In this case, the impulse is acting in the same direction as the change in velocity.

Answer:

hope it helps <3

Step-by-step explanation:

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in

Answer: Need more information to answer.

Step-by-step explanation:

The true statements are

b. The equation y = 0.65x could be used to determine the cost of x pounds of bananas.

c. The cost of Seven pounds of bananas is $4.55.

To calculate the cost of 1 pound of bananas divide the given cost by the given number of pounds. By calculating 1 pound we can determine the cost of 'x' pounds and seven pounds as explained below.

Here we have

Three pounds of bananas cost $ 1.95

Cost of 1 pound of banana = 1.95/3 = $ 0.65    

The cost of 1 pound banana = $ 0.65  

If the cost of 1 pound banana = $ 0.65

The equation that can represent the cost of 'x' pounds of banana

=>  y = x(0.65)  

=>  y = 0.65x

Cost of seven pounds of bananas can be calculated as

Cost of seven pounds of bananas = 7 × $ 0.65 = $ 4.55  

Therefore,

The true statements are

b. The equation y = 0.65x could be used to determine the cost of x pounds of bananas.

c. The cost of Seven pounds of bananas is $4.55.

Learn more about Calculating costs at

https://brainly.com/question/7542081

#SPJ1

The discriminant of the quadratic equation is zero, thus, we have a double root.

A general quadratic equation can be written as:

y = a*x^2 + b*x + c

The discriminant is defined as:

D = b^2 - 4ac

In this case, the quadratic equation is:

16x^2 + 8x + 1 = 0

So the discriminant is:

D = 8^2 - 4*16*1

D = 0

So we have a double root.

Learn more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

The intermediate step in the form (x+a)² = b as a result of completing the square for the following is  (x + 3 )² = 16.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Equation x²+6x = 7

This can also be written as:

x²+6x - 7 = 0

To complete the square of the expression, we will add the square of the half of coefficient of x in the equation to both sides

Coefficient of x = 6

Half of the coefficient =3

Square of the result = 9

Add 9 to both sides to have:

x²+6x - 7 + 9 = 0 + 9

x²+6x  +9 - 7 =  9

(x + 3 )² = 16

Hence,  the intermediate is (x + 3 )² = 16.

Learn more about Equation here:

brainly.com/question/13981588

#SPJ1

The forces result in a right triangle. To obtain the resultant force, one can simply use the Pythagorean theorem. 1250 lbf and 2650 lbf both act as the legs of the triangle. Obtaining the hypotenuse via the theorem would yield the resultant force. This is done below:

c^2 = a^2 + b^2

c^2 = (1250)^2 + (2650)^2

c = 2930.017 lbf

Therefore, the magnitude of the resultant force is approximately equal to 2930 lbf.

for the given function the value of k=6

What is a function?

A function is a special form of relation where each input has exactly one output. In other words, for each input value, the function returns exactly one value. A relation rather than a function is depicted in the above graph since one is mapped to two different values. However, if one were instead mapped to a single value, the relationship described above would change into a function. Furthermore, output values could match input values exactly.

The function machine receives the x-values as input. After finishing its operations, the function machine produces the y-values. Any function may be the one within.

function f(x)=2x^3-kx^2+8

For x=2

f(2)=2*8-k*4+8 = =

4k = 24

k = 6

Hence, for the given function the value of k=6

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ1

By calculating the value of x is 60 degrees from the given figure.

What is triangle ?

triangle can be defined in which it consists of three sides , three angles and sum of the angles is 180 degrees

Given,

in the figure,

A = 90

B = x

C = 180 - (2x+30 )

C = 150 - 2x

So, in a triangle

we know that ,

sum of the angles = 180

A + B + C = 180

90 + x + 150 - 2x = 180

240- x = 180

x = 240 - 180

x = 60

Hence, By calculating the value of x is 60 degrees from the given figure.

To learn more about triangle from the given link.

brainly.com/question/2773823

#SPJ1

Answer:

1. Equivalent

2. Equivalent

3. Equivalent

Step-by-step explanation:

On solving the provided question, we can say that the coordinates are

(2, 1), (6, 3);  the slope of the line m = 1/2

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

here, the coordinates are

(2, 1), (6, 3)

so, the slope of the line

3-1 = m(6-2)

2 = 4m

m = 1/2

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ1

A number is divsible by 5  if the last two digits  form a number divisible by 5

Determine all values of d that make the statement true?

The last two digits form the number 5d .There are one  digit numbers that start with 5 and is divisible by 5 which are 35 .Hence there are only one value for d:

since 35÷5=7

To learn more about division refers to:

https://brainly.com/question/28119824

#SPJ1