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mojhsa [17]
3 years ago
8

What are the solutions to the system of equations? (_____ , 2) and ( _____ , _____ )

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

  (1, 2) and (-1, -2)

Step-by-step explanation:

Since y = 2x, the first blank tells you

  2x = 2

  x = 1

____

Since the variables are squared, a negative solution is as good as a positive solution, so x = -1 and y = -2 will also work.

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An automobile insurance company claims that teenage drivers save on average $490 per year when compared to the same coverage fro
Alexxx [7]

Answer:

d) The z-value is -0.31

Step-by-step explanation:

-Given that Natalia's saving is $470,  mean claim amount is $490 and the standard deviation is $65

-Let Natalia's savings be X

#The z-value is calculated using the formula:

z=\frac{X-\mu}{\sigma}\\\\=\frac{470-490}{65}\\\\=-0.30\approx -0.31

Hence, Natalia's z-value is -0.31

8 0
4 years ago
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 p
Serjik [45]

Answer:

B. 8

Step-by-step explanation:

Calculate how many 2 point answers and 5 point answers there are.

2 x 8 = 16

Since there are half as many 5 point answers as there are 2 point answers,

5 x 4 = 20

calculate how many remaining questions there are. The numbers would be 8 since you had 8 2 point questions and 4 since half of 8 is four.

8 + 4 = 12

Subtract that number by the total questions, which is 28.

28 - 12 = 16

Next figure out how many 4 point questions you had (28-12=16)

16 x 4 = 64

To check your work add up the totals and see if they match up to 100.

16 + 20 + 64 = 100

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Scientific Notation (Please help!)<br><br> Write in standard form:<br> 6.79 x 10⁻⁴
QveST [7]
0.000679 is the correct answer

move the decimal point to the left twice because of the -4 on the 10
5 0
3 years ago
help please!! find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculat
White raven [17]

Area of a triangle = (1/2)*base*height

For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.

5.

First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, a^2+b^2=c^2, where c is the hypotenuse and a and b are the sides of the triangle.

Substituting the given values and rounding to nearest tenth:

a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0

Now that you have the height, you can find the area of the entire triangle.

A = (1/2)*base*height

A = (1/2)*8.8*9.0 = 39.6

6.

Same procedure.

a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2

A = (1/2)*base*height

A = (1/2)*7.6*9.2 = 35.0

7 0
3 years ago
What is the range of this function: y = x2 −5
Firdavs [7]
I think it might be the last one. Hope it helps:)
7 0
4 years ago
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