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forsale [732]
2 years ago
13

Help me iv been trying from this morning

Mathematics
2 answers:
rodikova [14]2 years ago
7 0

Answer:

  • b) y = -2/3(x + 4)² + 5
  • c) y = 1/2(x + 8)² - 5
  • d) y = 3/8(x + 7)² - 2

Step-by-step explanation:

<u>Vertex form is:</u>

  • y = a(x - h)² + k

Vertex of the function is point (h, k)

b) <u>Congruent to y = 2/3x² and opens down means:</u>

  • a = -2/3

<u>Maximum value at (-4, 5) means:</u>

  • h = -4, k = 5

<u>The function is:</u>

  • y = -2/3(x + 4)² + 5

c) <u>Congruent to y = 1/2x² and has minimum value y = -5 at x = -8</u>:

  • a = 1/2, h = -8, k = -5

<u>The function is:</u>

  • y = 1/2(x + 8)² - 5

d) <u>Vertex (-7, -2) and passes through the point (-3, 4)</u>

  • y = a(x + 7)² - 2

<u>Substitute coordinates and find a:</u>

  • 4 = a(-3 + 7)² -2
  • 6 = 16a
  • a = 3/8

<u>The function is:</u>

  • y = 3/8(x + 7)² - 2
GalinKa [24]2 years ago
5 0

Answer:

i did the first

Step-by-step explanation:

1st way

Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5

y = -2/3*X^2-16/3*X-17/3

X = -4 ±√( 15/2) = -6.7386, or -1.2614

Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)

two real roots: X=-1.2613872124776866 and -6.738612787477313

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2 years ago
Factor 24−15 using the GCF.
Maru [420]

Answer:

3

Step-by-step explanation:

<u>3</u>,6,9,12,15,18,21,<u><em>24</em></u>

<u>3</u>,6,9,12,<em><u>15,</u></em>18,21,24

5 0
3 years ago
Heeelp
alukav5142 [94]

Answer: see below

Step-by-step explanation  

Let    2 + a = 11 x

Let    35 - b = 11 y

Where x and y are any unknown integer

subtract the two equations

- 33 + a + b = 11 (x+y)

a+ b = 11 (x+ y) +33

a+ b = 11 (x+y) + 3 (11)

a+ b = 11(x+ y+3)

Which proves that a+b is a  factor of 11

6 0
2 years ago
A Write an equivalent equation that does NOT contain decimals.
vampirchik [111]

                                                     <span>0.5x - 0.1 = -2.9

When you multiply each side of an equation by the same number,
you don't change the equation or its solution.  If you want to get rid
of the decimals, you could  multiply each side by  10.  Then the
equation is

                                                     5x - 1  =  -29

You should be able to solve that without help.
But I'm about to take your points, so here's
how to solve that equation:

                                            </span><span><span>5x - 1  =  -29

Add  1  to each side:        5x        =  -28

Divide each side by  5 :     x         =  -28 / 5

Simplify the solution:          x         =  -5 and 4/5 .

Again ... this is the same solution as the original equation
if we hadn't gotten rid of the decimals.

</span></span>
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