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3 years ago

Which function has a range of {y|y ≤ 5}?

Mathematics

2 answers:

Murljashka [212]3 years ago

8 0

Answer:

f(x) = –(x – 4)2 + 5

Step-by-step explanation:

this is the explanation for it brainly.com/question/1442168

Nuetrik [128]3 years ago

7 0

B on edge

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Find the area of a triangle with a base length of 3 units and a height of 4 units.

eduard

A = 1/2bh
= 1/2(3)(4)
=1/2(12)
=6
The area of the triangle is: B) 6 units.

Hope this helps!

4 0

3 years ago

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

Michael gets test grades of 73, 77, 82, and 86. He gets a 93 on his final exam. Find the weighted mean if the tests each count f

leonid [27]

Answer:

84.9

Step-by-step explanation:

The weighted mean is given by the sum of the products of each grade by its respective weight. If the first four grades correspond to 15% of the final grade each, and the final exam is equivalent to 40% of the final grade, Michael's final grade is:

$G= (73+77+82+86)*0.15+(93*0.4)\\G= 84.9$

Michael's final weighted mean is 84.9.

3 0

3 years ago

1. Triangle ABC is similar to triangle DEF.

nignag [31]

Answer:

Step-by-step explanation:

In similar triangles corresponding angles have the same measure.

7 0

3 years ago

Help me please!!! Which of the following rational functions is graphed below?

777dan777 [17]

Answer:

let these by a guess Luck is luck get it

3 0

3 years ago

Which function has a range of {y|y ≤ 5}?​

Which function has a range of {y|y ≤ 5}?