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2 years ago

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:

Vertex form is:

y = a(x - h)² + k

Vertex of the function is point (h, k)

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

a = -2/3

Maximum value at (-4, 5) means:

h = -4, k = 5

The function is:

y = -2/3(x + 4)² + 5

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

a = 1/2, h = -8, k = -5

The function is:

y = 1/2(x + 8)² - 5

d) Vertex (-7, -2) and passes through the point (-3, 4)

y = a(x + 7)² - 2

Substitute coordinates and find a:

4 = a(-3 + 7)² -2
6 = 16a
a = 3/8

The function is:

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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Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

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Hi, to answer this question we have to analyze the information given:

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2 years ago

Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

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Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

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Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

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Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

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Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

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