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3 years ago

You guys are life savers but does anyone know the answers to these questions? I’m so confused rn

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

Answer:

The third choice

Step-by-step explanation:

We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be $\frac{3}{-1}$ , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.

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What's the answer to this??

Evgen [1.6K]

The variable "x" equals 7

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3 years ago

A realtor makes a commission of $11,400 on a $190,000 house he sells. What is his commission rate?

Reika [66]

So bassically
his commision rate is
x% times 190000=comission
so x% times 190000=11400
divide both sdies by 190000
x%=11400/190000
solve for x percent
11400/190000=114/1900=3/50
x%=3/50
percent means parts out of 100 so x%=x/100
x/100=3/50
3/50=6/100
x/100=6/100
multiply both sdies by 100
x=6

the commision rate is 6%

4 0

3 years ago

Jean closet is having a 15% off storewide sale. You want to buy a pair of jeans originally marked $32.99. What is the sale price

Oliga [24]

Answer:

Discount= $4.94

Final Price= $28.04

Step-by-step explanation:

Discount = original price x discount / 100

Discount= 32.99 x 15/ 100

Discount= 494.85/ 100

You save= $4.9485 ($494)

Final Price= original price - discount

Final Price= 32.99 - 4.9485

Final Price= $28.04

6 0

3 years ago

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

8 0

3 years ago

A system of equations is given below. For what value(s) of x is f(x)=g(x) ?

NARA [144]

$\large{f(x) = g(x)} \\ \large{ {x}^{2} + 3x = x + 3}$

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

$\large{ {x}^{2} + 3x - x - 3 = 0}$

Combine like terms.

$\large{ {x}^{2} + 2x - 3 = 0}$

Solve the equation by factoring.

$\large{(x + 3)(x - 1) = 0} \\ \large{x = - 3,1}$

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

x = -3,1

Let me know if you have any doubts!

3 0

3 years ago