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3 years ago

Solve, using linear combination.

Mathematics

1 answer:

Bingel [31]3 years ago

8 0

Multiply the first equation by -1 to get -4x - y = --5

Then add the second equation 3x + y = 3

+ ____________

-x = -2 or x = 2

then plug in 2 for x in one of the equations and solve for y 4(2) + y = 5

8 + y = 5

Subtract 8 from both sides y = -3

So x = 2, y = -3 or (2,-3)

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What is the y intercept The graph X Y -2 3 -1 5 0 7 1 9 2 11

Bad White [126]

Answer:

0 7

Step-by-step explanation:

at the Y- intercept the value of x is zero

4 0

3 years ago

Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidenc

quester [9]

Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

$n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : $\sigma= 13$

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576 [Using z-table]

Then, the required sample size would be :

$n=(\dfrac{(2.576)\cdot (13)}{8})^2$

$\Rightarrow\ n=(4.186)^2$

$\Rightarrow\ n=17.522596\approx18$ [Round to next integer.]

Hence, the required minimum sample size = 18

4 0

3 years ago

Multiplying monomials and binomials

lubasha [3.4K]

Answer:

$28w^2-476w$

Step-by-step explanation:

The general rule we are going to use to multiply this out is the distributive property. Which is:

a(b+c) = ab + ac

Note: x * x = x^2

Now multiplying, we get:

$28w(w-17)\\=28w*w-28w*17\\=28w^2-476w$

This is the multiplied out form, answer.

7 0

3 years ago

In the diagram below angle AED=(4n-20)° and angle BEC=(2n-16)°. What is the measure of angle CED in degrees

Pavlova-9 [17]

Check the picture below.

so, bearing in mind that vertical angles are equal, thus ∡AED = ∡BEC, and we know that ∡BEC = 52 = ∡AED, so those two angles added up are 104°.

now, a circle has a total of 360°, if we take away those 104° from the red angles, what's leftover is just 256°, well, the green angles there are also vertical angles and thus twins, so each one will take half of 256°.

∡BEA = 128° = ∡CED.

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3 years ago

Consider a function that describes how a particular cars gas mileage depends on its speed. What would be an appropriate domain f

Elina [12.6K]

gas mileage = k*s, where k is a constant of proportionality and s is the speed. Unfortunately, this does not take into account the fact that the engine consumes fuel even when the car is not moving.

Here it makes most sense to regard {0, S} as the domain for this function. Here, S would represent the car's top speed.

8 0

3 years ago

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