MATHEMATICS HIGH SCHOOL

What’s the answer to this

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given f(x) the f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here c = - 6, thus a shift down, thus

g(x) = x² - 6 → A

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What is the value of y so that the ordered pair (5, y) is a solution to the equation –5x + y = –40?

Answers

(5, y). Implies that x = 5

-5x + y = -40

-5*5 + y = -40

-25 + y = -40

y = -40 + 25

y = 25 - 40

y = -15.

Value of y = -15.

I'm a little confused with the question but if u want to find the value for y so u can get -40 is going to be -35
-5x+y=-40
-5(1)+y(-35)=-40
-5-35=-40

Question olve the following quadratic by factoring. a^(2)-4a-12=0

Answers

Answer:

a = - 2 , a = 6

Step-by-step explanation:

a² - 4a - 12 = 0

consider the factors of the constant term (- 12) which sum to give the coefficient of the a- term (- 4)

the factors are + 2 and - 6, since

+ 2 × - 6 = - 12 and + 2 - 6 = - 4

use these factors to split the a- term

a² + 2a - 6a - 12 = 0 ( factor the first/second and third/fourth terms )

a(a + 2) - 6(a + 2) = 0 ← factor out common factor (a + 2) from each term

(a + 2)(a - 6) = 0 ← in factored form

equate each factor to zero and solve for a

a + 2 = 0 ( subtract 2 from each side )

a = - 2

a - 6 = 0 ( add 6 to both sides )

a = 6

solutions are a = - 2 , a = 6

Use the equation and type the ordered-pairs.y = 2 x

{(-1,
a0), (0,
a1), (1,
a2), (2,
a3), (3,
a4), (4,
a5)}
thanks in advance :)

Answers

$\begin{array}{c|c|c}\underline{\quad (x,y)\quad}&\underline{\quad y=2x\quad }&\underline{\quad Answer\quad }\n(-1, a_o)&a_o=2(-1)&a_o=-2\n(0, a_1)&a_1=2(0)&a_1=0\n(1, a_2)&a_2=2(1)&a_2=2\n(2, a_3)&a_3=2(2)&a_3=4\n(3, a_4)&a_4=2(3)&a_4=6\n(4, a_5)&a_5=2(4)&a_5=8\end{array}$

What two number mutiply to -240 but add up to 8

Answers

Let us assume the two unknown numbers to be "x" and "y".
Then
xy = -240
x = - (240/y)
And
x + y = 8
Now let us put the value of x in the second equation. We get
x + y = 8
-( 240/y) + y = 8
y^2 - 240 = 8y
y^2 - 8y - 240 = 0
y^2 - 20y + 12y - 240 = 0
y(y - 20) + 12(y - 20) = 0
(y - 20) (y + 12) = 0
So we can see that the unknown number y can have two values and hence the unknown number will also have two values.
When
y - 20 = 0
y = 20
Then
xy = - 240
20x = - 240
x = -12
So we can see that when y is equal to 20 then x is equal to -12 and when y is equal to -12 then x is equal to 20. So the two numbers are 20 and -12.

Answer:

20 and 10

Step-by-step explanation:

Rewrite the expression of three root of 500 using an exponent