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3 years ago

I need help with these :3 thx

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

Y = mx + b
where m is the slope and b is the y-intercept.

1. 2x + 3y = 12
3y = -2x + 12
y = -2x + 4
y-intercept is 4

2. x - 4y = 20
-4y = -x + 20
y = -x - 5
y-intercept is 5

3. y = 2x - 9
this one is easy because it's already in standard form
y-intercept is -9

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PLEASE ANSWER QUICKLY ASAP <br>ANSWER QUESTION A AND B

Evgen [1.6K]

Answer:

a) $a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}$

b) (i) $a+2c=\begin{pmatrix}-4\\2\end{pmatrix}$

(ii) $k=2$

Step-by-step explanation:

It is given that,

$a=\begin{pmatrix}4\\-10\end{pmatrix},b=\begin{pmatrix}-2\\1\end{pmatrix},c=\begin{pmatrix}-4\\6\end{pmatrix}$

We need to find the value of a+b+c.

$a+b+c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-2\\1\end{pmatrix}+\begin{pmatrix}-4\\6\end{pmatrix}$

$a+b+c=\begin{pmatrix}4+(-2)+(-4)\\-10+1+6\end{pmatrix}$

$a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}$

(i) We need to find the value of a+2c.

$a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+2\begin{pmatrix}-4\\6\end{pmatrix}$

$a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-8\\12\end{pmatrix}$

$a+2c=\begin{pmatrix}4+(-8)\\-10+12\end{pmatrix}$

$a+2c=\begin{pmatrix}-4\\2\end{pmatrix}$

(ii) It is given that a+2c=kb, where k is an integer. We need to find the value of k.

$a+2c=k\begin{pmatrix}-2\\1\end{pmatrix}$

$\begin{pmatrix}-4\\2\end{pmatrix}=\begin{pmatrix}-2k\\k\end{pmatrix}$

On comparing both sides, we get

$k=2$

4 0

3 years ago

What is -5/8 + -8/9=

mariarad [96]

Answer:

-1.513888889 = -1.51

Step-by-step explanation:

-5/8 = -0.625

-8/9 = -0.8888888888

-0.625 + -0.8888888888 = -1.513888889

If you round this to the nearest tenth you get

6 0

4 years ago

When a number is tripled,the results is -33

defon

Answer:

x = -11

Step-by-step explanation:

Considering tripled means multiplied by 3 because of tri, we know that we can use the equation 3x = -33.

To solve this we can divide both sides by 3:

3x = -33

x = -11

This gives our answer of -11.

4 0

3 years ago

Boxes of sticky hands popsicles are 4.50. The supermarket is offering a 30% off coupon. What is the price with the coupon?

ArbitrLikvidat [17]

Included in your weekly circular should be free coupons, so coupons are free (disregarding the price you have to pay to live around the area)

if you want to know how much discount the coupon give you then

4.5*3/10=1.35
takes off $1.35

proportion method

30/100=x/4.5
3/10=x/4.5
cross multiply or ties both sides by 10*4.5
3*4.5=10x
13.5=10x
divide both sides by 10
1.35=x

discount of $1.35 (coupon saves you $1.35)

3 0

3 years ago

Read 2 more answers

Which expression models this phrase? 27 decreased by the difference of a number and 3?

vagabundo [1.1K]

Decreased by: ___ -
difference: (___ - ___)
27 - (x - 3) is an accurate model of this situation.

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3 years ago