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3 years ago

(solve each step for f(x) and g(x))

Mathematics

2 answers:

Andre45 [30]3 years ago

5 0

Answer:

x=−0.35

Step-by-step explanation:

2.5x−10.5=64×0.5x

2.5x−10.5=32x

−10.5=32x−2.5x

−10.5=29.5x

− 29.5/10.5=x

−0.355932=x

levacccp [35]3 years ago

4 0

X = -0.35
I’m prettt sure that’s your answer

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What is the solution to the system of equations below?<br> y = 3x + 9<br> y = -3x + 12

Elena L [17]

Answer:

Step-by-step explanation:

y = 3x + 9

y = -3x + 12

y=21

7 0

3 years ago

Read 2 more answers

Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1).

juin [17]

Answer:

C) 6 units

E) 8 units

Step-by-step explanation:

Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1). Which of the following numbers are dimensions of the rectangle? Select each correct answer. A. 4 units B. 5 units C. 6 units D. 7 units E. 8 units F. 9 units. help, please!.

When given vertices for a geometric shapes we find the lengths of the side by using the formula:

When(x1, y1) and (x2, y2)

= √(x2 - x1)² + (y2 - y1)²

A= (−6, 5),B = (2, 5), C = (2, –1), and D = (–6, –1).

For AB

A= (−6, 5),B = (2, 5),

= √(2 -(-6)² + (5 - 5)²

= √8² + 0

= √64

= 8 units

For BC

B = (2, 5), C = (2, –1),.

√(2 - 2)² +(-1 - 5)²

= √0 + -6²

= √36

= 6 units

For CD

C = (2, –1), and D = (–6, –1).

= √(-6 -2)² + (-1 -(-1))²

= √-8² + 0²

= √64

= 8 units

For AD

A= (−6, 5), D = (–6, –1).

= √(-6 -(-6))² + (-1 - 5)²

= √0² + -6²

= √36

= 6 units

Therefore, the following numbers that are dimensions of the rectangle is

C) 6 units

E) 8 units

3 0

3 years ago

Please help!!! Greatly apprecieted!

Lilit [14]

Answer:

Tiffany has 13 dimes and 4 nickels.

Step-by-step explanation:

To solve this problem, you will need to write a systems of equations, n will be the number of nickels and d will be the number of dimes.

n+d=17 This means that the number of nickels plus the number of dimes is equal to 17.

5n+10d=150, This means that for each nickel, there is 5 cents and for each dime, there is 10 cents. The equation is equal to 150 cent because the coins are worth 150 cents.

Next, solve the system:

n+d=17

5n+10d=150 First simplify the second equation by dividing it all by 5.

n+d=17

n+2d=30, Next, isolate n to use substitution on the system.

n=17-d

n=30-2d, Substitute n to solve for d

17-d=30-2d, Solve for d

d=13, this means that there are 13 dimes, plug in the d value in either of the equations to find n.

n+(13)=17

n=4, There are 4 nickles

3 0

3 years ago

Can you help me please!!

Bess [88]

Answer:

(3,1)

Step-by-step explanation:

8 0

4 years ago

a square painting has an area of 81x^2-90x-25. A second square painting has an area of 25x^2+30x+9. What is an expression that r

galina1969 [7]

Answer:

The answer in the procedure

Step-by-step explanation:

Let

A1 ------> the area of the first square painting

A2 ----> the area of the second square painting

D -----> the difference of the areas

we have

$A1=81x^{2}-90x-25$

$A2=25x^{2}+30x+9$

case 1) The area of the second square painting is greater than the area of the first square painting

The difference of the area of the paintings is equal to subtract the area of the first square painting from the area of the second square painting

D=A2-A1

$D=(25x^{2}+30x+9)-(81x^{2}-90x-25)$

$D=(-56x^{2}+120x+34)$

case 2) The area of the first square painting is greater than the area of the second square painting

The difference of the area of the paintings is equal to subtract the area of the second square painting from the area of the first square painting

D=A1-A2

$D=(81x^{2}-90x-25)-(25x^{2}+30x+9)$

$D=(56x^{2}-120x-34)$

4 0

4 years ago