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garik1379 [7]
3 years ago
15

Which statement shows a correct next step equation? For 4(x-3)-5(x+1)=3

Mathematics
2 answers:
Brrunno [24]3 years ago
8 0

X=-20 because u solve for x by simplifying both sides of the equation

dmitriy555 [2]3 years ago
6 0

Let's solve your equation step-by-step.

4(x−3)−5(x+1)=3

Step 1: Simplify both sides of the equation.

4(x−3)−5(x+1)=3

(4)(x)+(4)(−3)+(−5)(x)+(−5)(1)=3(Distribute)

4x+−12+−5x+−5=3

(4x+−5x)+(−12+−5)=3(Combine Like Terms)

−x+−17=3

−x−17=3

Step 2: Add 17 to both sides.

−x−17+17=3+17

−x=20

Step 3: Divide both sides by -1.

−x−1=20−1

x=−20

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Is it a function or not a function?
Anastaziya [24]

Answer:

Not a function

Step-by-step explanation:

Fails the vertical line test

8 0
2 years ago
Read 2 more answers
Factor −1/9 out of −1/9x−3.
Zanzabum

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

3 0
3 years ago
Solve the quadratic for x, then enter the numerical value of your solution. (If there are two solutions, either one will work.)
xz_007 [3.2K]

Answer: X= -1 OR X= 11

Step-by-step explanation:

Step 1 : Equate ( x-5)² since it occurred twice, hence the reason 2 is added in front of (x-5)²

= (x-5)²

= (x-5)(x-5)

= (x²-5x-5x+25)

= (x²-10x+25)

Step 2: multiply the result by two since it occurs twice and also bring the equation

= 2 (x²-10x+25) +7 = 79

= 2x²- 20x+50+7 = 79

= 2x²- 20x+57 =79

Step 3: most quadratic equation are always equal to zero, let's make this one equal to Zero by subtracting 79 from both sides

= 2x²-20x+57-79 = 79-79

= 2x²-20x-22=0

Step 4: divide the equation by a common number to get the least coefficient of the three coefficients

Dividing the three by 2

(2x²-20x-22)/2 = x²- 10x- 11

Step 5: Factorise completely

Sub step 1 : the first term in the equation is X² which makes the first term coefficient 1; the second term in the equation is -10x which makes the second term coefficient -10, the constant has a coefficient of -11

Sub step 2: multiply the coefficient of the first term (1) and the constant (-11) which gives us (-11)

1*-11 = -11

Sub step 3: Get two numbers in such a way that the addition of the first number and the second number gives the second coefficient in the quadratic equation and the multiplication of the two numbers will give us the product of the first coefficient and the constant.

And the two numbers is +1 and -11, the sum of the two numbers will give us -10 and the product will give us -11.

Step 6: slot the two numbers (+1, -11) into the equation by making themr replace the second coefficient

x²-10x-11=0

= x²+x-11x-11 =0

Step 7: split the equation into two and Factorise further

= (x²+x)(-11x-11) =0

= x(x+1)-11(x+1) = 0

= x+1= 0 or x-11 =0

Step 8 split them into individual equation

= x+1= 0.

Subtract 1 from both sides

= X+1-1=0-1

= x= -1

Or X should be

= x-11=0

Add 11 to both sides

= X-11+11 = 0+11

= x= 11

6 0
3 years ago
Need help with this ignore what a put in the box it isn’t right
Zarrin [17]

f=6cm\\g=8cm

Why?

The first thing we need to do is find the area of the triangle, we can to that by subtracting the area of ABCD from ACBE, then, we can use the formulas to calculate the area for both triangle and rectangle to find "f" and "g".

Calculating we have:

TriangleArea=ABCE-ABCD\\\\TriangleArea=60cm^{2}-48cm^{2}=12cm^{2}

Now, we can calculate "f" by using the formula to calculate the area of the triangle:

TriangleArea=\frac{b*h}{2}\\\\TriangleArea=\frac{f*4cm}{2}\\\\12cm^{2}*2=f*4cm\\\\\frac{24cm^{2}}{4cm}=f\\\\f=6cm

Now, finding "g" by using the formula to calculate the area of the rectangle, we have:

RectangleArea=ABCD\\\\ABCD=Base*Height\\\\48cm^{2}=base*6cm\\\\base=g=\frac{48cm^{2}}{6cm}=8cm

Hence, we have that:

f=6cm\\g=8cm

Have a nice day!

8 0
3 years ago
In Mr. Romero's class there are 25 students, 13 participate in school sports. What percent of the class participates in school s
TEA [102]

Answer:

52 Percent participate in school sports.

Step-by-step explanation:

13/25 = x/100

Multiply 13 x 100 = 1300

Then, divide 1300 by 25 = 52

Move the decimal point two places to the left, and then you get your answer of 52%

3 0
3 years ago
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