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2 years ago

10

The system equations 2y=14-2x and y=-x+7

1 answer:

Artemon [7]2 years ago

6 0

Answer:

Hey there!

When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.

In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.

2(-x+7)=14-2x

-2x+14=14-2x

-2x=-2x

x=x

As we can see, there are infinitely many solutions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.

I hope this helps! :D

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Miss Penny inherits £1040

Firlakuza [10]

Answer:

Step-by-step explanation:

first we simplify the ratio

5:8

8/5=1.6

1:1.6 so for every 1 dollar she save she spends 1.6

next we do 1040/1.6=650

1040-650=390

390:650

i hope this helps and is the correct answer pls let me know

3 0

2 years ago

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

djyliett [7]

Answer:

$-3x-6 < -33$ and $-3x-6 \geq -6$

Step-by-step explanation:

we have

$-33 > -3x-6 \geq -6$

we know that

Compound inequality can be divided into two inequalities

so

$-33 > -3x-6$

rewrite

$-3x-6 < -33$

and

$-3x-6 \geq -6$

therefore

An equivalent form of the compound inequality is

$-3x-6 < -33$ and $-3x-6 \geq -6$

6 0

3 years ago

Is y=150x proportional?

daser333 [38]

Answer:

yes

Step-by-step explanation:

A proportional equation is of the form

y = kx where k is the constant of proportionality

y = 150x is proportional

5 0

3 years ago

Read 2 more answers

ABC with altitude \overline{BD}

just olya [345]

The length of $\overline{AC}$ is given by the relationship between the similar triangles

ΔABD and ΔBDC.

$\overline{AC}$ = <u>80</u>

Reasons:

The given parameters are;

The altitude of triangle ΔABD = $\overline {BD}$

The hypotenuse of formed right triangle = $\overline {AC}$

The length of AD = 8

Length of BD = 24

Whereby ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

$\displaystyle \frac{\overline{AD}}{\overline{BD}} = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}$

Which gives;

$\overline{BD}^2$ = $\mathbf{\overline{DC} \times \overline{AD}}$

Therefore;

$\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}$

$\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}$

$\overline{AC} = \overline{DC} + \overline{AD}$

Which gives;

$\overline{AC} = 72 + 8 =\mathbf{ 80}$

Learn more about similar triangles here:

brainly.com/question/4618367

8 0

2 years ago

HELP please and thanks.. :)

fomenos

Answer:

false: the event will never occur; the event will definitely occur; the event is likely to occur

true: there is a small chance that the event will occur

Step-by-step explanation:

7 0

2 years ago