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Delvig [45]
4 years ago
9

Solve for x; y=mx+b I can find x by_______________ on both sides of the equation PLZ Show your Work Thank You

Mathematics
1 answer:
amid [387]4 years ago
6 0

Answer:

"subtracting b, then dividing by m"

Step-by-step explanation:

To solve for a particular variable, look a the operations that are being performed on that variable. Then "undo" those operations in reverse order.

Here, the operations done to x are ...

• multiply by m

• add b to the product

Using the above recipe, first we "undo" the additon of b. We accomplish that by subtracting b from both sides of the equation. This gives ...

y - b = mx + b - b

y - b = mx . . . . . . . . . simplify

Next, we "undo" the multiplicatin by m. We accomplish that by dividing both sides of the equation by m.

(y -b)/m = mx/m

(y -b)/m = x . . . . . . . . simplify

This is your solution for x:

x = (y - b)/m

We found it by subtracting b, then dividing by m on both sides of the equation.

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How do you round 103.468 to the nearest liter?
sergeinik [125]
103 stays because it is the whole number and the next number after the decimal is below 5.

103 is your answer.
8 0
3 years ago
If f(×)=2×^2+3, then which of the following represent f(-1)?
eimsori [14]

To find the inverse of this function, we first need to replace f(x) with y.

y = 2x^2 + 3

Now, we swap x and y

x = 2y^2 + 3

Now, we solve for y.

-3

x - 3 = 2y^2

Sqrt both sides.

√(x - 3) = 2y

Divide by 2

√(x - 3)/2 = y

Replace y with f^-1(x)

√(x - 3)/2 = f^-1(x)


Just realized you were asking for f(-1), not f^-1(x)

Feels bad.

f(-1) = 2(-1^2 + 3)

f(-1) = 2(-1^5)

f(-1) = 2(-1)

<u>f(-1) = -2</u>

I'm leaving the original answer in case you also need the inverse function. :)

3 0
3 years ago
A relay team of 4 people runs 3 miles. If each runs the same distance, how many miles dose each person runs. In fractions as div
saveliy_v [14]

Answer:

\[\frac{3}{4}\] miles

Step-by-step explanation:

The relay team consists of 4 people.

Total distance covered by 4 people = 3 miles

Each person runs the same distance.

This means that each person will run a distance equal to:

\[\frac{distance}{persons}\]

\[=\frac{3}{4}\]

So each person in the relay team of 4 will run a distance of \[\frac{3}{4}\] miles to cover the entire length of 3 miles.

4 0
3 years ago
What is the area of the figure?
JulijaS [17]

Answer:

24

Step-by-step explanation:

break it down it's a composite shape

6 0
3 years ago
Vicki bought some items from the store. The table shows the store price for these items. 1. Potato salad = $2.25 per 1 1/2 pound
Kitty [74]
<span>Potato salad=$2.25/(1 1/2)=$2.25/(1+0.5)=$2.25/1.5=$1.50 per pound
Ham=$2.00/(1/2)=$2.00/0.5=$4.00 per pound
Cheese: $0.60/(1/4)=$0.60/0.25=$2.40 per pound

A. 4 pounds of turkey, 1 pound of ham, and 1/2 pound of shrimp salad
1/2=0.5
Total cost: T
T=4($3.50)+1($4.00)+0.5($5.50)=$14.00+$4.00+$2.75→T=$20.75>$20  No

B. 1 1/2 pounds of cheese, 2 pounds of ham, and 1 1/2 pounds of shrimp salad
1 1/2=1+0.5=1.5
</span>Total cost: T
T=1.5($2.40)+2($4.00)+1.5($5.50)=$3.60+$8.00+$8.25→T=$19.85
<span>$18.00<$19.85<$20.00    Ok


C. 3 1/2 pounds of potato salad, 3/4 pound of ham, 1 pound of cheese, and 2 pounds of turkey
3 1/2=3+0.5=3.5
3/4=0.75
</span>Total cost: T
T=3.5($1.50)+0.75($4.00)+1($2.40)+2($3.50)=$5.25+$3.00+$2.40+$7.00→
T=$17.65
$18.00<$17.65<$20.00    Ok<span>

D. 2 pounds of shrimp salad, 1/2 pound of ham, 1 pound of turkey, and 2 pounds of potato salad
</span>1/2=0.5
Total cost: T
T=2($5.50)+0.5($4.00)+1($3.50)+2($1.50)=$11.00+$2.00+$3.50+$3.00→
T=$19.50
$18.00<$19.50<$20.00    Ok

Answer: S<span>he could have purchased combinations B, C, or D</span>
8 0
3 years ago
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