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butalik [34]
4 years ago
13

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Ch

eck all that apply.
Mathematics
2 answers:
aleksandrvk [35]4 years ago
6 0
Given that g(x)=10x^2-100x+213 in vertex form is:
g(x)=10(x-5)2-37
The vertex form of an equation is given by the formula:
f(x)=a(x-h)^2+k
where the vertex is:
(h,k)
Therefore fro our expression the vertex of g(x) is (5,-37)
Vitek1552 [10]4 years ago
5 0

Answer:

<em>B, C, D</em>

Step-by-step explanation:

<em>B.)</em><em> The vertex of the graph is (5, –37).</em>

<em />

<em>C.) </em><em>The parabola has a minimum </em>

<em />

<em>D.) </em><em>The parabola opens up</em>

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What is the area of r=5
Vlad1618 [11]

Answer:

if you need the circumferance of a circle with a radious of 5, then it should be 31.42.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find slope intercept form of 5x+8y=120 passing through (4,5)
yarga [219]

Answer:

y=-(5/8)x+(15/2)  or  y=-0.625x+7.5

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

5x+8y=120

isolate the variable y

8y=-5x+120

y=-(5/8)x+15

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-5/8 and point (4,5)

substitute and solve for b

5=-(5/8)(4)+b

b=5+(20/8)

b=60/8=15/2=7.5

substitute

y=-(5/8)x+(15/2)

or

y=-0.625x+7.5

5 0
4 years ago
There is a total of 2,512 people attending the fun fair. 5/8 of sttemdees are students and 1/4 of attendees are parents. the res
kvv77 [185]

Answer:

<u>314 of the people attending the fun fair are people living in the neighborhood</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

<u>314 of the people attending the fun fair are people living in the neighborhood</u>

8 0
3 years ago
A triangle has sides with lengths of 10 cm 6 cm and 8cm is it a right triangle
Artyom0805 [142]

Answer:

Yes!

Step-by-step explanation:

6: 8: 10, makes a ratio of 3: 4: 5, making a right triangle

6 0
3 years ago
I have a slope of -4 (m=-4), would that be negative four over positive one or would that be negative 4 over negative one?
katrin [286]
If you have a slope of -4 then it would be -4/1 because rise/run. If it were -4/-1 then the slope would be 4.
3 0
3 years ago
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