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3 years ago

30 points ! complete the folllowing problems. don't answer if you dont know.

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

3 0

Answer:

false

Step-by-step explanation:

3×-8=-24

-171+9=-162

so -24 is not equal to-162

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Let f(x)=2x-1, and g (x)=x^2-3

Minchanka [31]

f(4)= 4^2 - 1 = 15

g(f(4)) = g(15) = 2(15) = 30

Hope this helps!

3 0

3 years ago

Evaluate the expression 2m+2n if m=9 and n=3

tatuchka [14]

Just substitute each number in for the variables: 9 for m and 3 for n.

2m+2n
= 2(9)+2(3)
= 18+6
= 24

4 0

3 years ago

Read 2 more answers

A boat travels 45 miles east (right) then 60 miles north (up), how far is it from the starting point?

tekilochka [14]

A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles.

7 0

3 years ago

Read 2 more answers

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

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

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

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

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

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

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

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

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Answer: 6/2(1+2)=.<br><br><br> explain:

Tcecarenko [31]

Answer:

Step-by-step explanation:

6/2(1+2)

6/2(3)

3(3)

I hope this helped! If so, please mark brainliest!

8 0

3 years ago