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EleoNora
6 days ago
13

The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applie

d to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.
Mathematics
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Solve for x<br> zx=5g(2x-c)
Leona [12618]
Zx = 5g(2x - c) Apply the Distributive Property
zx = 10gx - 5cg Subtract 10gx from each side
zx - 10gx = -5cg Factor x out
x (z - 10g) = -5cg Divide by (z - 10g)
x = \frac{-5cg}{z - 10g}
3 0
3 months ago
Read 2 more answers
Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.
Svet_ta [12734]

Answer:

x=9,-1 and x^2+(-8)x=9

Explanation:

We are given the quadratic equation x^2-8x-9

, which we then compare with the standard form of a quadratic. The general quadratic is identified as ax^2+bx+c=0

. From our given equation, it follows that a=1,b=-8,c=-9

. To calculate the discriminant, we insert these values into the formula D=b^{2}-4ac

D=(-8)^2-4(1)(-9)=100

. Now, to find the value of x

The formula is x=\frac{-b\pm\sqrt{D}}{2a}

. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of

x^2+bx=c

.
4 0
2 months ago
Read 2 more answers
Kathy and Mark Smith believe investing in their retirement is critical. Kathy began investing 20% of each paycheck in a retireme
Zina [12379]

Answer:

Kathy: $1,224,000

Mark: $306,000

Please refer to the attachment.

5 0
2 months ago
Construct an interval estimate for the given parameter using the given sample statistic and margin of error. For μ1-μ2, using x¯
zzz [12365]

Answer: CI = (0, 8)

Step-by-step explanation: The confidence interval for the difference in means is given as

Lower limit

= (x1 - x2) + margin of error

Upper limit

= (x1 - x2) - margin of error

Where x1 - x2 = 8 and the margin of error = 8

For the lower limit,

= 8 - 8 = 0

For the upper limit

= 8 + 8 = 16

Thus, CI = (0, 8)

4 0
2 months ago
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