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pychu [463]
3 years ago
14

Can somebody help me?

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

The given function is f(x)=-(x+2)^2-1

You could observe that: a=-1 when you compare to f(x)=a(x+h)^2+k.

This should tell you that the graph should open downwards.

Let us substitute x=3, to get: f(2)=-(3+2)^2-1=-5^2-1=-26

Also when x=4,f(4)=-(4+2)^2-1=-6^2-1=-36-1=-37

All the results are negative so the graph should appear below the x-axis

This shows that AJ made a mistake in the graph.

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
Factor by using the GCF.
Lady_Fox [76]
Both terms have a 2x^4 in common. When this GCF is factored out you get 2x^4(x^2 - 6).

Answer is C





5 0
3 years ago
WORTH 20 POINTS!!!!!
garik1379 [7]

Answer:

circumference = 43.98

Step-by-step explanation:

C=2πr=2·π·7≈43.9823

Brainliest?

5 0
3 years ago
2. 3 qt =?L<br>15lb=?kg<br>7L=?qt​
Firdavs [7]
3qt=2.83906L and 15lb=6.80389kg and 7L=7.39682qt hope this help
5 0
3 years ago
Read 2 more answers
What is the focus of the parabola?<br><br> y=−14x2−2x−2
nataly862011 [7]
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:

y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²

This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).

Or (-0.071,-1.977).</span>
3 0
3 years ago
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