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Setler79 [48]
3 years ago
7

How is the graph of y = –x2 – 1 different from the graph of y = –x2?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Every transformation like

f(x)\mapsto f(x)+k

translated the graph vertically, k units up if k is positive, k units down if k is negative.

So, in your case, we have that -x^2-1 is the same graph as -x^2, except it's shifted 1 unit down.

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An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article
GREYUIT [131]

Answer:   (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

(p-E , p+E)

, where p = sample proportion , E = Margin of error.

Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.

Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :

(82%-2% , 82%+3%)

= (80% , 85%)

Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)

5 0
3 years ago
How do you do this question?
quester [9]

Step-by-step explanation:

F(x) = ∫ₐˣ t⁷ dt

F(x) is the area under f(t) between t=a and t=x.  When x=a, the width of the interval is 0, so the area is zero.

F(6) = 0, so a = 6.

F(x) = ∫₆ˣ t⁷ dt

F(6) = ∫₆⁶ t⁷ dt

F(6) = 0

3 0
3 years ago
Sin(2x+30°)=1 <br> Tìm x <br> Cảm ơn vì giúp đỡ
Pie

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

sin^{-1}[sin(2x+30)]=sin^{-1}(1)

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

4 0
3 years ago
Que es la globalizacion​
Snezhnost [94]

La globalización significa la aceleración de movimientos e intercambios (de seres humanos, bienes y servicios, capital, tecnologías o prácticas culturales) en todo el planeta. Uno de los efectos de la globalización es que promueve y aumenta las interacciones entre diferentes regiones y poblaciones de todo el mundo.

7 0
3 years ago
Solve 2-x=5x+1<br> Find x
Nady [450]

Answer:

Collect like term

2-1=5x+x

1=6x

6x=1

divide both side by 6

x=1/6

5 0
2 years ago
Read 2 more answers
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