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ddd [48]
3 years ago
6

Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0
We have that

y=-1/3(x+2)²+5
using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0)  and (1.873,0)
5) the y intercept value is (0,3.667)

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If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))
frutty [35]

Answer:

g(f(x))=(4x-1)^2+7=16\,x^2-8x+8

Step-by-step explanation:

Given:

f(x)=4x-1\\and \\g(x)=x^2+7

Then the composition of functions:

g(f(x))=g(4x-1)=(4x-1)^2+7= (16\,x^2-8x+1)+7=16\,x^2-8x+8

where we have written the final functional expression in its standard form.

5 0
3 years ago
45 POINTS PLEASE HELP
lutik1710 [3]

Hello,

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.

Which of the following could be combinations of values for the plumber's work hours and total work fee she charges?

Solution:

Find similar ratios to 5/350

Similar Ratios,

1/70

2/140

3/210

3.5/245

4/280

6/420

7.25/507.50

Answers:

B) 3.5 hours and $245

C) 6 hours and $420

D) 7.25 hours and $507.50

5 0
3 years ago
Read 2 more answers
86 into scientific notation
Anna [14]

Answer:

8.6 x 10^1

hope i helped

7 0
3 years ago
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The sum of the first n consecutive even numbers can be found using S = n2 + n, where n ≥ 2.
viktelen [127]
The following are the choices on this question:
 A.6
 B. 39
 C. 26
 D. 12   
The answer is option D. 12.

Check this out:
S=n² + n
S= 12² + 12
     (you can get the square of 12 by multiplying 12 by itself: 12 × 12)
S=144 +12
S=156
3 0
3 years ago
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Bonnie planted a garden in her backyard. Both the garden and the backyard are right triangles. The garden is proportional to the
Mandarinka [93]
You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard.  If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

This means the other two sides would also be 3 times longer.

6 yards x 3 = 18
8 yards x 3 = 24

To find the area using these dimensions, you will use the formula for finding the area of a triangle.

A = 1/2bh
A = 1/2 x 18 x 24
A = 216 square yards

The area of the backyard is 216 square yards.
8 0
3 years ago
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