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Korolek [52]
3 years ago
12

Twice the sum of a number is 9 is equal to three times the difference of the number and 7

Mathematics
2 answers:
docker41 [41]3 years ago
5 0

"Twice the sum of a number is 9 is equal to three times the difference of the number and 7" is our problem. Let's translate it into an equation.

Twice                                      2 times

the sum of a number           x +

and 9                                    9

is equal to                              =

three times                           3 times

the difference of a number x-

and 7                                      7


We move top down on the right side and make the equation. Then we solve it for x

2x + 9 = 3x - 7                           our equation

-x + 9 = -7                                    subtract 3x on both sides

-x = -16                                      subtract 16 on both sides

x = 16                                         divide both sides by -1


Thus the mystery number is 16.

soldi70 [24.7K]3 years ago
3 0
First, write put the information into an equation

2*(x+9) = 3*(x-7)

distribute the 2 and 3
2x + 18 = 3x - 21

Combine like terms (Xs and munbers) (in this case, it's easier to add 15 to both sides and subtract 2x from both sides so both sides end up being positive)
33 = x

x=33
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Use the drawing tool(s) to form the correct answer on the provided number line.
miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: x^2-x-12

This is now a quadratic expression for which we can find its factor form:

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0
3 years ago
Calculate the distance between the points -11 and 4 on a number<br> line.
krek1111 [17]

Answer:

15, d

Step-by-step explanation:

The absolute value of |-11| + |4| is 11+4 which is 15

5 0
3 years ago
What does 5/4x = 1/2
aleksklad [387]
You would multiply 4 on both sides
5x=2
then you would divide 5 on both sides
x=2/5
7 0
3 years ago
Adrian jogs 3/4 mile each morning how many days will take to jog 3 miles
lbvjy [14]
----------------------------------------------------------------
Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.

----------------------------------------------------------------
Find how long he needs to run 1 mile
----------------------------------------------------------------
3/4 miles = 1 morning 

[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4

1 miles = 4/3 morning

----------------------------------------------------------------
Find how long he needs to take to run 3 miles
----------------------------------------------------------------
1 miles = 4/3 morning

[ multiply by 3 through ]
3 miles = 4/3 x 3 
3 miles = 4 mornings 

----------------------------------------------------------------
Answer : 4 mornings
----------------------------------------------------------------
6 0
3 years ago
The value of a piece of land is $500 an acre. The price per acre is expected to increase 7% per year. Which function models the
kobusy [5.1K]
To set the equation,we can first find how much price would be raised within a year:

=500×(1+7%)

=500×1.07

As the years go by the increase would accumulate,and the equation would be:

500 \times  {1.07}^{t}
Hope it helps!
4 0
3 years ago
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