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3 years ago

Two numbers totals -14, and their difference is 6. Find the two numbers

Mathematics

1 answer:

natita [175]3 years ago

4 0

Answer:

The two numbers are -4 and -10.

Step-by-step explanation:

x+y=-14

x-y=6

----------

2x=-8

x=-8/2

x=-4

-4+y=-14

y=-14-(-4)=-14+4=-10

x=-4, y=-10.

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MrMuchimi

Answer:

Step-by-step explanation:

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2 years ago

Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

jok3333 [9.3K]

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ use the distributive property

$y-4=\dfrac{1}{2}x+1$ add 4 to both sides

$y=\dfrac{1}{2}x+5$ - slope-intercept form

3 0

2 years ago

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn

loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 , 69.312)

a) be the same

Step-by-step explanation:

Step (i):-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (ii) :-

Given The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (iii):-

95 percent confidence interval for μ is determined by

$(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )$

$(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )$

(65 - 4.312 ,65 +4.312)

(60.688 , 69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

Conclusion:-

it become same as (61.08, 68.92)

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3 years ago

Convert 25% to a decimal

Alisiya [41]

The decimal is 0.25.

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3 years ago

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With these numbers I have to find the median. Please help mee!!

Aloiza [94]

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you have two middle, so you find the middle number in between them.

12.6 is the median.

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3 years ago

Read 2 more answers

Two numbers totals -14, and their difference is 6. Find the two numbers​

Two numbers totals -14, and their difference is 6. Find the two numbers