Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!

Answer:

3. 6 5. 3

Step-by-step explanation:

PEMDAS

3. 0.5 x (24) / 3 + 2

12/3 +2

4 + 2

6

5. (4 + 6/3) x 0.5

(4 + 2) x 0.5

6 x 0.5

3

Answer: number 3. is 6 and number 5. is 3

hope it helped

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (1, - 4 ) and a = 1 , then

y = (x - 1)² - 4 → b

------------------------------------

given 3 sides of a triangle then an angle may be found using the cosine law. → b

if the 3 sides are a, b, c then

cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex] ← allowing ∠ A to be found

--------------------------------------

cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{5}[/tex] → a

-----------------------------------------

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] ( substitute values )

[tex]\frac{x}{6}[/tex] = [tex]\frac{10}{4}[/tex] ( cross- multiply )

4x = 6 × 10 = 60 ( divide both sides by 4 )

x = 15 → b

Answer:

Step-by-step explanation:

There are a few algebraic, geometric, and trig relations you are expected to remember. These come into play in this set of questions.

When solving any problem, the first step is to understand what is being asked. The second step is to identify the relevant information and relationships that can help you answer.

You are asked for the equation of a parabola with a given vertex. The vertex form equation will be useful. We can assume a scale factor ('a') of 1.

For vertex (h, k) = (1, -4) and a=1, the vertex form equation is ...

  y = a(x -h)² +k

  y = 1(x -1)² +(-4)

  y = (x -1)² -4

You are given 3 sides and want to find an angle. The useful relation in this case is the Cosine Law. (If you wanted to use the Sine Law, you would already need to know an angle.)

The mnemonic SOA CAH TOA reminds you that the cosine relation is ...

  Cos = Adjacent/Hypotenuse

The side adjacent to angle C is marked 4; the hypotenuse is marked 5. The desired ratio is ...

  cos(C) = 4/5

The measure x is also the measure of side AB. The similarity statement lists those letters as the first two. It also lists the letters DE as the first two. The other given side in ΔABC is BC, corresponding to side EF in the smaller triangle. Corresponding sides are proportional, so we have ...

  AB/DE = BC/EF

  x/6 = 10/4

We can find the value of x by multiplying this equation by 6:

  x = 6(10/4) = 60/4

  x = 15

Please note that BC is the shortest side in ΔABC. This means x > 10. There is only one such answer choice. (No math necessary.)

Answer:

X

Step-by-step explanation:

KHAN ACADEMY

The measure of m<1, m<2 and m<3 are 90, 63 and 63 degrees respectively

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

The given figure is a kite with two intersecting lines that are perpendicular to each other.

Since the lines are perpendicular to each other, hence;

m<1 = 90 degrees

For the measure of m<2

m<2 + 90 + 27 =180

m<2 + 117 = 180

m<2 = 180 - 117

m<2 = 63degrees

Since the opposite sides are congruent, hence the measure of m<2 is congruent to m<3. Hence m<3 = 63 degrees

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Answer: B

Step-by-step explanation:

[tex](4^{-5})^3=4^{-15}=\frac{1}{4^{15}}[/tex]

Answer:

y = (3/10)x + 1/10

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. First, we need to rearrange the given equation to determine the slope of the original line.

10x + 3y = 5                                <----- Original equation

3y = -10x + 5                               <----- Subtract 10x from both sides

y = (-10/3)x + 5                            <----- Divide both sides by 3

Now, we can tell that the slope of the original line is m = -10/3. The perpendicular line should have an opposite-signed, reciprocal slope to that of the original. Therefore, the new slope is m = 3/10.

We can find the value of "b" by plugging the new slope and values from the Point (3, 1) into slope-intercept form.

m = 3/10

x = 3

y = 1

y = mx + b                                  <----- Slope-intercept form

1 = (3/10)(3) + b                           <----- Insert values

1 = 9/10 + b                                 <----- Multiply 3/10 and 3

10/10 = 9/10 + b                          <----- Create common denominators

1/10 = b                                      <----- Subtract 9/10 from both sides

Now that we know the values for "m" and "b", we can construct the equation of the perpendicular line.

y = (3/10)x + 1/10

1+3+5+7+9+11+13+15

=4+12+20+28

=16+48

=64

The length of side OA in the given rhombus is: 5 units.

A rhombus is a quadrilateral that has four sides that are all of the same length. Therefore, in the image given, the length of AB equals the length of OA.

Given the following:

Length of AB = |8 - 3}

Length of AB = 5 units.

AB = OA = 5 units.

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Step-by-step explanation:

what is not clear that you cannot answer this by yourself ?

please let me know what you need explained.

1. Rhombus

2. rectangle

3. square

4. rhombus

5. square

6. rectangle

7. rhombus

8. parallelogram

Answer:

  h(x) = 2x² -8x -10

Step-by-step explanation:

In the US, a quadratic is in standard form when the terms are listed in order of decreasing degree.

In the UK, a quadratic is in standard form when it is written in vertex form.

__

The only function with terms in order of decreasing degree is ...

  h(x) = 2x² -8x -10

All of the functions except the last are written in vertex form:

__

Additional comment

Since the question asks about one function, we assume it is from the perspective of the US understanding of standard form. The point here is that "standard form" may vary from one tradition to another. (The "standard form" for numerical values varies by tradition, as well.)

The length of AB of the triangle is 13 units.

The side AB of the triangle can be found using cosine law,

Therefore,

c² = a² + b² - 2ab cos C

c² = 7² +  8² - 2 × 7 × 8 cos 120

c² = 49 + 64 - 112 cos 120

c²= 113 - (-56)

c² = 113 + 56

c² = 169

c = √169

c = 13 units

Therefore, the value of AB is 13 units

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Answer: 2400

Step-by-step explanation:

3000 x 20/100 = 600

Discount = 600

Sale price of the article: 3000-600 = 2400

The modal and mean mark of the frequency distribution is 5 and 4.83 respectively.

Mode refers to a mark which reoccurs most in a frequency distribution.

The total number of students who wrote the test = 2 + 3 + 4 + 6 + 10 + 4 + 3 + 2 + 1 + 1

= 36 students

Mean mark = Total mark / Total students

= (2×1) + (3×2) + (4×3) + (6×4) + (10×5) + (4×6) + (3×7) + (2×8) + (1×9) + (1×10) / 36

= (2+6+12+24+50+24+21+16+9+10 / 36

= 174/36

= 4.83333333333333

Approximately,

Mean mark = 4.83

If 25% of students failed,

Number of students who failed = 25% of 36

= 25/100 × 36

= 0.25 × 36

= 9 students.

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The area and circumference of a circle are 12.56square feet and 12.56ft respectively

The formula for calculating the area and circumference of a circle is expressed as:

A = πr²

C = πd

where

r is the radius and d is the diameter

Area = 3.14 * (2)²

Area = 12.56ft²

For the circumference

C = 3.14(4)

C = 12.54ft

Hence the area and circumference of a circle are 12.56square feet and 12.56ft respectively

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Answer:

[tex]5\frac{6}{11}[/tex]

Step-by-step explanation:

Number of Values = 11.

Mean = Sum of values / Number of Values

= [tex]\frac{3+2+4+6+5+6+1+7+9+8+10}{11} \\=\frac{61}{11} \\= 5\frac{6}{11}[/tex]

Answer:

30 terms

Step-by-step explanation:

In the sequence, the value of each term decreases by 2.

38, 36, 34, 32, 30, 28, 26, 24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, -16, -18, -20.

1+ (38 - (-20))/2 = 1+ 29 = 30

the translations is,

               C(-5,-1) → (-3,-3)

               D(-4,3) → (-2,1)

               E(-3,2) → (-1,0)

               F(-2,0) → (0,-2)

What is Translation ?

The changes in the value of the x and y  coordinates is known as translation.

Calculation:

The given points are C(-5,-1), E(-4,3), F(-3,2), F(-2,0).

according to the question (x,y)→(x+2,y-2)

 this means x coordinate changes by addition of 2

 And the y coordinate changes by subtraction of 2  

 Addition and Subtraction in the Coordinates,

             C(-5,-1) → (-5+2,-1-2) → (-3,-3)

             D(-4,3) → (-4+2,3-2) → (-2,1)

             E(-3,2) → (-3+2,2-2) → (-1,0)

             F(-2,0) → (-2+2,0-2) → (0,-2)

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Answer: (2, 18)

Step-by-step explanation:

When x=2, [tex]f(2)=2(3)^{2}=18[/tex].

So, it should pass through (2, 18).

Answer:

a.1

b. 17

Step-by-step explanation:

So the | | around an equation makes it an absolute value which can be defined as the "distance from zero" or in other words, if a value is positive, it stays positive, and if a value is negative, it becomes positive.

|-8 + 9| = |1| = 1

|-8| + 9 = 8 + 9 = 17

Answer:

C

Step-by-step explanation:

Example
Find 55% of 200.

200 times 0.55 = 110

Answer: the answer is B

Step-by-step explanation:

if we want to find the percent of 700 people out of 4400 people, we would do 700/4400, which is equal to 0.16, or 16 percent.

The factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.

In the question, we are asked to find the factors of the function f, and complete the given statement.

The function f, given to us is:

f(x) = 2x⁴ - x³ - 18x² + 9x.

To factor the function, we first group the terms as follows:

f(x) = (2x⁴ - 18x²) - (x³ - 9x).

Now, we take common terms out of the group as follows:

f(x) = 2x²(x² - 9) - x(x² - 9).

Now, we again take common terms, as follows:

f(x) = (2x² - x)(x² - 9),

or, f(x) = x(2x - 1)(x + 3)(x - 3).

This is the factored form of the given function, f.

The statement given to us is:

From left to right, function f has zeros at x = _, x = _, x = _, and x = _.

To find the zeroes of the function, we equate the factorized form to 0.

x(2x - 1)(x + 3)(x - 3) = 0.

By zero-product rule, the zeroes are at:

x = 0,

2x - 1 = 0, or, x = 1/2,

x + 3 = 0, or, x = -3,

x - 3 = , or, x = 3.

Arranging these in ascending order, the zeroes are at: -3, 0, 1/2, and 3.

Thus, the factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.

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For the complete question, refer to the attachment.

Answer: Edmentum/plato

Step-by-step explanation:

The complete statements are:

The complete question is added as an attachment

The roots are given as:

x = 0 second

and

x = 9.8 seconds

x = 0 implies that the height of the arrow was 0 meters above his bow after 0 seconds

x = 9.8 implies that  it takes approximately 9.8 seconds for the arrow to return to the height of the bow.

The x-value of the vertex is

x = (0 + 9.8)/2

Evaluate

x = 4.9

Approximate

x = 5

This means that the vertex is approximately 5 seconds

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The probability is 1/5.

There are 3 red marbles and 3 white marbles, for a total of 6.

The probability that the first marble is red is:

P(red) = 3/6

The probability that the second marble is also red is:

P(red') = 2/5 (because now there are 2 red marbles and a total of 5).

The joint probability is:

P = (3/6)*(2/5) = 1/5

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The statement which is true about the end behaviour of the graphed function is; As the x-values go to positive infinity, the function’s values go to positive infinity.

The graph given according to the task content is described to have its first minimum at (-2,0), and then a maximum at; (-0.5, 5) and finally a minimum at; (1.05, -41).

Additionally, since the graph has 3 zeroes as given, it follows that the graph is that of a cubic function which takes the w-form.

Consequently, it can be inferred from the statements above that; As the x-values go to positive infinity, the function’s values go to positive infinity.

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Answer:

A

Step-by-step explanation:

edge 23

Answer:

3/5

Step-by-step explanation:

the chance of landing on an even number (2 or 4) is 2/5

the chance of landing on the unshaded section (3) is 1/5

add the 2 together since the problem said "or" to get 3/5

Answer:

$1,800

Step-by-step explanation:

If the Smiths agree to the installment plan and pay $150 every month for 12 months, it will add up to $1,800 at the end of the year.

The graph that aligns with the information is graph D.

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

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Answer:

Step-by-step explanation:

The given relation can be used with the formula for the area of a triangle to give an equation for the altitude or base.

Let b represent the length of the base. Then the altitude (height) is (b+4). The area formula tells us the area is ...

  A = 1/2bh

Using given values, the equation becomes ...

  96 = 1/2b(b +4)

Simplifying the equation and multiplying by 2, we have ...

  192 = b² +4b

Adding (4/2)² = 4 will complete the square.

  196 = b² +4b +4 = (b +2)²

Taking the square root gives ...

  14 = b +2 . . . . . . we are not interested in the negative root

  12 = b . . . . . . . . subtract 2

  16 = b+4 . . . . . find the altitude

The base is 12 cm; the altitude is 16 cm.