Choose the equation that matches
the graph.

a.y = 3x - 2
b. y = 3x-2
c. y = 3x+2
d. y = 3x + 2
e. y = (1/3)x-2

Answer:33

Step-by-step explanation: The expressions have equivalent values when x + 6

The expressions have equivalent values for any value of x.

When x=10 , both expressions have a value of 33.

The mass of the second object exists at 3 kg.

Let, F be the Force

a be the acceleration

m be the mass

The formula of force exists F = m [tex]*[/tex] a

Since force exists constant, then:

[tex]$m_1 = 2 kg, a_1 = 12 m/s^2[/tex] subset 1 designates the first object

[tex]$m_2 = ? , a_2 = 8m/s^2[/tex] subset 2 designates the second object

To estimate the mass of the second object

A constant force indicates [tex]$ m_1 * a = m_2 * a[/tex]

The mass of second object [tex]m_2[/tex], we get

[tex]m_1 * a = m_2 * a[/tex]

[tex]$m_2 = \frac{m_1 * a}{a}[/tex]

[tex]$=\frac{2*12}{8}[/tex]

= 24/8 = 3 kg

Therefore, the mass of the second object exists at 3kg.

To learn more about the mass of the object refer to:

https://brainly.com/question/14320877

#SPJ9

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is [tex]x=-\frac{-4}{2(1)}=2[/tex].

When x=2, [tex]h(2)=2^2 - 4(2)-21=-25[/tex].

So, the vertex is (2, -25).

Answer:

what do you need person jjff

Area

Answer:

1725 ft²

Step-by-step explanation:

The formula to find the area of a trapezoid is :

Area = [tex]\frac{1}{2}[/tex] × ( sum of the parallel sides ) × height

Let us solve it now.

Area = [tex]\frac{1}{2}[/tex] × ( sum of the parallel sides ) × height

Area = [tex]\frac{1}{2}[/tex] × ( 65 + 50 ) × 30

Area = [tex]\frac{1}{2}[/tex] × ( 115 ) × 30

Area = [tex]\frac{1}{2}[/tex] × 3450

Area = 1725 ft²

The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75

5(6 ÷ 2² × 3 - 1)

Bodmas

= 5(6 ÷ 4 × 3 - 1)

= 5(6 ÷ 4 × 2)

= 5(6 ÷ 8)

= 5(0.75)

= 3.75

Learn more about simplification:

https://brainly.com/question/723406

#SPJ1

The domain of the composite function is given as follows:

[–3, 6) ∪ (6, ∞)

The composite function of f(x) and g(x) is given as follows:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this problem, the functions are:

The composite function is of the given functions f(x) and g(x) is:

[tex]f(g(x)) = f(\sqrt{x + 3}) = \frac{1}{\sqrt{x + 3} - 3}[/tex]

The square root has to be non-negative, hence the restriction relative to the square root is found as follows:

[tex]x + 3 \geq 0[/tex]

[tex]x \geq -3[/tex]

The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:

[tex]\sqrt{x + 3} - 3 \neq 0[/tex]

[tex]\sqrt{x + 3} \neq 3[/tex]

[tex](\sqrt{x + 3})^2 \neq 3^2[/tex]

[tex]x + 3 \neq 9[/tex]

[tex]x \neq 6[/tex]

Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:

[–3, 6) ∪ (6, ∞)

More can be learned about composite functions at https://brainly.com/question/13502804

#SPJ1

Answer:

D

Step-by-step explanation:

I assume that for C and D, you meant e^x.

Since the function is defined at 0, eliminate A and B (since ln 0 is undefined)

Between C and D, we know that when x=0, e^x = 1. Since the y intercept of the graph is -3, this means the equation is y = e^x - 4.

Answer: 8/52

2/13=x/52

(2×52)/13=x

104/13=x

8=x

x=8

8 is the equivalent of the fraction using a denominator of 52. 2/13

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified.

All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.

        ⇒[tex]\frac{2}{13} =\frac{x}{52}[/tex]

       ⇒[tex]\frac{2(52)}{13} = x[/tex]

      ⇒[tex]x = 8[/tex]

therefore, 8 is the equivalent of the fraction using a denominator of 52. 2/13

Learn more about Equivalent fractions here

https://brainly.com/question/17912

#SPJ4

The missing length of given right triangle is equal to 25.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean  Theorem.

The Pythagorean Theorem says: (hypotenuse)²=(leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x),  cos (x) and tan (x) , where:

[tex]sin(x)=\frac{opposite\ leg}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ leg}{hypotenuse} \\ \\ tan(x)=\frac{opposite\ leg}{adjacent\ leg}[/tex]

There is another important property, where h²=m*n. See the attached image.

From the previous informations presented, you can solve the given question.

From Pythagorean Theorem you can find h (heigth). Thus,

15²=9²+h²

h²=225-81

h²=144

h=12

If h=12 and m=9, from  h²=m*n you can find n.

h²=m*n

12²=9*n

144=9n

n=144/9

n=16

Therefore, x= m+ n= 9+16=25.

Learn more about Pythagoras theorem here:

brainly.com/question/343682

#SPJ1

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

The height of the ball as a function of time is modelled by a quadratic equation, the required information can be found by transforming the expression into vertex form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

The difference of the fractions is 8x/3. Option C is correct.

Given the fraction is 10x/3-2x/3.

When subtracting fractions with the same denominator, just subtract the numerators of the fractions. To find the difference between equal fractions, we subtract the smaller numerator from the larger numerator.

The given expression is 10x/3-2x/3.

Here the denominator in both the fractions are same so, we will take the LCM, we get

10x/3-2x/3=(10x-2x)/3

Now, we will simplify the numerator by subtracting the smaller term from larger, we get

10x/3-2x/3=8x/3

Hence, the difference of the fractions 10x/3-2x/3 is 8x/3 and the correct option is C.

Learn more about difference of fractions from here brainly.com/question/8672817

#SPJ1

Answer: 1/5

Step-by-step explanation:

There are 10 numbers, out of 50, which have a 4 in their tens place: 40, 41, 42, 43, 44, 45, 46, 47, 48, and 49.

Therefore our desired probability is 10/50 or 1/5.

The total interest on the mortgage loan  is $219,249.60

What is a mortgage loan?

It is a loan taken in order to purchase a property that requires periodic repayments such as monthly repayment since most mortgages are repaid monthly.

Our first task is to determine the monthly repayment using the present value formula of an ordinary annuity because the monthly payment becomes due at the end of each month.

PV=monthly repayment*(1-(1+r)^-N/r

PV=loan amount=$210,000

monthly repayment=unknown(assume it is X)

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly payments in 30 years=30*12=360

$210,000=X*(1-(1+0.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-(1.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-0.19277525234572900)/0.00458333333333333

$210,000=X*0.80722474765427100/0.00458333333333333

$210,000=X*176.12176312456800000

X=$210,000/176.12176312456800000

X=monthly payment=$1,192.36

total repayments(360 months)=$1,192.36*360

total repayments(360 months)=$429,249.60

Total interest=total repayments(360 months)-loan amount

Total interest=$429,249.60-$210,000

Total interest=$219,249.60

Find more on mortgage payment on:https://brainly.com/question/22846480

#SPJ1

Answer:

$217.88

Step-by-step explanation:

12% of 194.95 plus the original cost of 194.94 equals the total

1.12*194.54 = $217.8848

Rounded: $217.88

Answer:

Step-by-step explanation:

Purchase price (A) : $12,500

Down Payment (B): $3,000

Loan Taken (C = A - B):  $9500

D :  Interest calculation for $9,500 for 3 years P(1 + rt)

= 9500(1 + (14.5/100) * 3)

= 9500(1 + 0.145 * 3)

= 9500 * 1.435

= $13632.5

E : Interest calculation for $9,500 for 2 years P(1 + rt)

= 9500(1 + (14.5/100) * 2)

= 9500(1 + 0.145 * 2)

= 9500 * 1.29

= $12,255

Difference between D - E

= $13632.5 - $12,255

= $1377.5

Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years

Answer:

y=-2x+12

Step-by-step explanation:

First, subtract 1/2 from each side

1/4y = -1/2x + 3 --> multiply each side by 4

y = -2x + 12 is your final answer

The divisor of the expression 2/3 ÷ 6/5 is 9.

We have,

Expression:

2/3 ÷ 6/5

The concept used.

a/b ÷ c/d = ad / bc

Now,

2/3 ÷ 6/5

This can be written as,

= 2/3 x 5/6

= (2 x 5) / (3 x 6)

= 10 / 18

= 2 x 5 / 2 x 9

Cancel the common factor.

= 5 / 9

This can be read as,

Dividend = 5

Divisor = 9

Thus,

The divisor of the expression is 9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Step-by-step explanation:

all the details are in the attachment; the solution are is filled with purple color.

The time Carlos spend practicing his multiplication facts in fraction is 5/16 hours.

A fraction is a value which has a numerator (upper or top value) divided by a denominator (lower or bottom value).

Time spent practicing his multiplication facts = 1/4 of 1 1/4 hours

= 1/4 × 1 1/4

= 1/4 × 5/4

= (1 × 5) / (4 × 4)

= 5/16 hours

Therefore, the time Carlos spend practicing his multiplication facts is 5/16 hours.

Complete question:

Carlos spent 1 1/4 hours doing his math home work. He spent 1/4 of this time practicing his multiplication facts.

How many hours did Carlos spend practicing his multiplication facts?

Learn more about fraction:

https://brainly.com/question/11562149

#SPJ1

The true statements are

The function g(x) is given as:

[tex]g(x) = -12(\frac 13)^x[/tex]

Set x = 0, to determine the y-intercept

[tex]g(0) = -12(\frac 13)^0[/tex]

g(0) = -12

From the table, we y-intercept of f(x) is

f(0) = -12

This means that they have the same y-intercept

Because the functions have negative initial values, they would approach negative infinity as x approaches negative infinity

Hence, the true statements are (d) and (e)

Read more about functions at:

https://brainly.com/question/11303370

#SPJ1

The equations which completes the left-hand column of the table are;

[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]

The given expression on the right is written as follows;

First row;

[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]

The definition of the sum and difference of cosine are;

cos(a - b) = cos(a)•cos(b) + sin(a)•sin(b)

cos(a + b) = cos(a)•cos(b) - sin(a)•sin(b)

Therefore;

Second row;

cos(a - b) - cos(a + b) = 2•sin(a)•sin(b)

Which gives;

[tex] sin(a) \cdot sin(b) = \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]

Third row;

Learn more about trigonometric functions here:

https://brainly.com/question/1143565

#SPJ1

Answer:

y=-1/4x+3​ is the answer.

Mark as brainlist pls pls pls pls pls pls pls pls!!!!!!!!!!

Answer:

telephone was $45, utility was $135

Step-by-step explanation:

Let the telephone bill be x, then the utility bill is 3x

3x+x = 180

4x = 180

x = 45

3x = 135

Answer:

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

Pythagoras Theorem Equation

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Answer:

Using it's concept, there is a 20% probability that a customer ordered a large given that he or she ordered a cold drink.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 8 + 12 + 5 = 25 people ordered a cold drink, and of them, 5 were large, hence the probability is:

p = 5/25 = 0.2 = 20%.

20% probability that a customer ordered a large given that he or she ordered a cold drink.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1