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emmainna [20.7K]
3 years ago
8

Is (-2, -6) a solution to this system of equations? 3x + 18y = -14 15x − 7y = 12 yes no

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

No

Step-by-step explanation:

Plug in (-2, -6) to see if it's the solution or not

3(-2) + 18(-6) ?  -14

-6  + ( -108) ? -14

-114 ≠ -14

Answer is NO

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Which of the following values does not satisfy the inequality -2x - 6 is less than or equal to 1
Vsevolod [243]

Answer:

X ≥ 3.5

Step-by-step explanation:

-2x-6≤1

+6 +6

-2x≤7

-2x/2 7/2

x ≥ 3.5

5 0
3 years ago
the surface area of a sphere is found using the formula SA=4πr^2 where r is the radius. if the surface area of a sphere is 144π
IgorC [24]
144= 4. 3.14.r²
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Kelly walked 3 miles.Abby walk 3/4 of a mile how far did they walk in all
timofeeve [1]

Answer:

3 3/4

Step-by-step explanation:

Add the two numbers:

3 + 3/4 = 3 3/4

3 3/4 is the amount walked in all.

~

8 0
3 years ago
A population proportion is . A sample of size will be taken and the sample proportion will be used to estimate the population pr
padilas [110]

Complete Question:

A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?

Answer:

A) 0.61351

Step-by-step explanation:

Sample proportion = 0.4

Sample population = 200

A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion

Statistically:

P(0.4-0.03<p<0.4+0.03)

P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200

P[-0.03/0.0346410 < z < 0.03/0.0346410

P(−0.866025 < z < 0.866025)

P(z < - 0.8660) - P(z < 0.8660)

0.80675 - 0.19325

= 0.61351

B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion

Statistically:

P(0.4-0.08<p<0.4+0.08)

P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200

P[-0.08/0.0346410 < z < 0.08/0.0346410

P(−2.3094 < z < 2.3094)

P(z < -2.3094 ) - P(z < 2.3094)

0.98954 - 0.010461

= 0.97908

6 0
3 years ago
Graph the linear equation:<br> 2x-y=4
juin [17]

Answer:

Slope=2

x-intercept=\frac{4}{2} =2

y-intercept=\frac{4}{-1} =-4.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-y-(4)=0

Step 1:

Equation of a Straight Line

Solve   2x-y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-y-4  = 0 and calculate its properties

Graph of a Straight Line :

( see attatchment)

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 4/-1 so this line "cuts" the y axis at y=-4.00000

 y-intercept = 4/-1  = -4.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000

 x-intercept = 4/2  =  2  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -4.000 and for x=2.000, the value of y is 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.000 - (-4.000) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

1.  Slope = 2

2.  x-intercept = 4/2 = 2

3.  y-intercept = 4/-1 = -4.00000

- clarification for graph - green means rise  red means run , bottom black is x intercept which is 2.000  under rise is y-intercept  and under the y axis is 0.000 and -4.000.

8 0
2 years ago
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