Solve the system using elimination.
3x + 5y = -2
-x + 2y = 8
([?], [ ]

Answer:

(0, 1) and (4, 7)

Step-by-step explanation:

We are going to find the equation that satisfy the question.

The equation of a line is: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

The problem gives us the slope and a point the line passes through.

In order to find b, we plug in the given point (2,4) and solve.

[tex]4=\frac{3}{2} *2+b[/tex]

[tex]4=3+b\\1=b\\[/tex]

The equation for the line is:

[tex]y=\frac{3}{2} x+1[/tex]

By plugging in the points to see if it is true, we get that only (0,1) and (4,7) are on the line.

Answer:

15 yards

Step-by-step explanation:

3ft=1yard

45/3=15

Answer:

angle B=100 degrees

vertically opposite angle

angle B +x= 180 degree

100-180=x

80 degree =x

Answer:

x = 80°

Step-by-step explanation:

GIVEN :-

TO FIND :-

PROCEDURE :-

∠CBD + ∠FBD = 180°      (∵ ∠CBD & ∠FBD form a linear pair )

⇒ ∠FBD = 180° - 100° = 80°

Also,

∠FBD = ∠EFB       (∵ Alternative Interior Angles are equal )

⇒ x = 80°

Answer:

I think it's B.

Step-by-step explanation:

Divide using polynomial division.

x + 1 + 1/ x − 1.

Maybe not 100% sure.

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

[tex]\mu_G = 15[/tex]

[tex]s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

[tex]\mu_E = 13.4[/tex]

[tex]s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

[tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]

Standard deviation:

[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92[/tex]

So the correct answer is given by option b.

Answer: =3y−6.5z−9

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/5

Answer: 1/5

Step-by-step explanation:

Answer:

82.89

Step-by-step explanation:

Answer:

i will take company (a) because they are giving in less rate

Answer:

You would want to go with A

Step-by-step explanation:

If you do plan a it is 180 dollars a year when you spend 15 dollars per GB, B is cheaper on the other hand because it is 75 dollars a month so therefore 900 dollars a year

A is cheaper

Answer:

G

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{$\therefore$ the system of linear equation has only one solution}[/tex]

Answer:4-k÷6

Step-by-step explanation:

Answer:

5:6

Step-by-step explanation:

1 hour = 60 minutes

Ratio of 50 minutes to 1 hour;

50/60

5:6

Answer:

5:6

Step-by-step explanation:

1 hour= 60 min

50: 60

5:6

Answer:

5x-15 = 2x+21

x=12

Step-by-step explanation:

Vertical and Corresponding Angles can be used to prove so.

Answer:

Volume ≈ 0.5236

Step-by-step explanation:

V=4/3πr3=4/3·π·0.53≈0.5236

Answer:

I think the answer is D but I'm not 100 percent sure. I hope this helps

Step-by-step explanation:

I think I took this test before

Answer:

117.2

Step-by-step explanation:

I hope this helps a little bit.

Answer: 3 f(8)=g(8)

Step-by-step explanation:

2(8)-3=3/2(8)+1

16-3=12+1

13=13

Answer:

3 is true

Step-by-step explanation:

f(x) =2x - 3→ 2*8 - 3 =13

g(x) = 3/2x + 1 → 3/2(8) + 1 = 3*4 +1 = 14

Answer: .012

Step-by-step explanation: 6*2 is 12, and you can simply use the number of decimal points on the smaller term to get .012

Answer:

should be .12

Step-by-step explanation:

.06 multiplied by 2 is .12

Answer:

answer is 3 1/8

Step-by-step explanation:

In the picture is what my teacher did.

Answer:

3

Step-by-step explanation:

6 x 3 = 18 - 8 = 10

Answer:

7 quarter...................

Answer: -8.5

Step-by-step explanation:

I got it right on edg

Answer -8.5

Step-by-step explanation:

Answer:

the one with Heidy is the 3 one

the 6th one is E

Step-by-step explanation:

Answer:

8π

Step-by-step explanation:

[tex]\frac{x}{4} =2 \pi\\x=2 \pi \times 4=8 \pi[/tex]

Answer:

expanded form: 6x6x6x6

answer: 1296

Step-by-step explanation: