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irinina [24]
4 years ago
6

Solve -2x+ 54=17 4x-54=-9

Mathematics
1 answer:
Darina [25.2K]4 years ago
6 0

Answer:

For first equation:

x = 18.5

For second equation:

x = 4.25

Step-by-step explanation:

First one:

-2x + 54 = 17. Subtract 54 on both sides.

-2x = -37. Divide all by -2.

x = 18.5

Second one:

4x - 54 = -9. Add 54 to both sides.

4x = 45. Divide all by 4.

X = 4.25.

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The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an
Ivanshal [37]

Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

A=LW

we have

L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft

substitute

A=(12)(10.5)=126\ ft^2

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

so

we have

L=(12+x)\ ft\\W=10.5\ ft

The new area is

A=10.5(12+x)\ ft^2

The expanded form of the expression is

Apply distributive property

A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2

6 0
4 years ago
Solve for X. (1 point)<br> -ax + 3b &gt; 5
Anarel [89]

Answer:

x<(3b-5)/a

Step-by-step explanation:

Subtract 3b from both sides: -ax>5-3b

Divide by -a, when dividing/multiplying a negative you flip the </> sign: x<(3b-5)/a

4 0
4 years ago
WILL GIVE BRAINLIEST IF ANSWERED NOW
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Answer:

y=3x-7

Step-by-step explanation:

lines are parallel hence gradient from the equation in question is the same as the gradient of the equation to be found.. comparing to y=mx+c, eq in question has grad 3... from the formula y-y1=m(x-x1) where (x1,y1) is equal to the point in question

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Fudgin [204]

Answer: 1 and 3

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6 0
3 years ago
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The table shows a company’s profit based on the number of pounds of food produced.
Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}

Where,

\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}

\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}

\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}

\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}

\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}

Putting the values from the table, we get the best fit line as,

y= -0.0817x^2 + 102.24x - 20421

As we want to calculate the profit at 350 pounds, so putting x=350, we get

y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75


5 0
4 years ago
Read 2 more answers
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