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galben [10]
3 years ago
15

Which of the following is equivalent to the expression 1/2x+4x-1/2x+60?

Mathematics
2 answers:
kolezko [41]3 years ago
7 0

Answer:

4(x + 15)

Step-by-step explanation:

1/2x - 1/2x = 0

You're then left with 4x + 60

Factor out the 4 and you get 4(x + 15)

Temka [501]3 years ago
7 0

Answer: ITS C.

Step-by-step explanation: It’s not B I took the test and put C and got it right

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Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. if erica made $42.80 on monda
Dovator [93]

Answer:

c. 34

Step-by-step explanation:

1) Add all the given prices on each day.

= 42.80 + 64.20 + 74.90

= 181.90

2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.

Let x = number of magazine subscriptions sold

5.35x = 181.90

x = \frac{181.90}{5.35}

x = 34

4 0
2 years ago
Henry takes 1 hour to drive to work and 1 hour to drive home. if he works 5 days a week, how many hours does he spend driving to
alisha [4.7K]

Answer:

Step-by-step explanation:

Time taken to drive to work = 1 hr

Time taken to drive home = 1 hr

Time taken to drive from home to work and back home again ( IN ONE DAY)

=1 + 1 = 2hrs

So time taken for driving to and from work for 5 days = 2hrs × 5 days = 10 hrs .

6 0
3 years ago
Read 2 more answers
If (x^2 - 1) is a factor of ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0
alisha [4.7K]
x^2-1=x^2-1^2=(x-1)(x+1)

If x²-1 is a factor of the polynomial, both x-1 and x+1 are factors of it.

According to the remainder theorem, if a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

If x-1 and x+1 are factors of the polynomial p(x)=ax⁴+bx³+cx²+dx+e, then p(1)=0 and p(-1)=0.

p(1)=a \times 1^4+b \times 1^3 + c \times 1^2+ d \times 1+e \\
p(-1)=a \times (-1)^4 + b \times (-1)^3 + c \times (-1)^2 + d \times (-1)+e \\ \\
p(1)=a+b+c+d+e \\
p(-1)=a-b+c-d+e \\ \\
p(1)=0 \\
p(-1)=0 \\ \\ \hbox{add both equations:} \\
a+b+c+d+e=0 \\
\underline{a-b+c-d+e=0} \\
2a+2c+2e=0 \\
2(a+c+e)=0 \\
a+c+e=0 \\ \\
\hbox{substitute 0 for a+c+e in the first equation:} \\
a+b+c+d+e=0 \\
(a+c+e)+b+d=0 \\
0+b+d=0 \\
b+d=0 \\ \\
\boxed{a+c+e=b+d=0} \\
\hbox{proved } \checkmark
8 0
3 years ago
the map shows Henry's town . Each unit represents 1 kilometer. After school, Henry walks to the library. How far does he walk?​
ivann1987 [24]

Answer:

Henry walks 7 kilometres from school to library

Step-by-step explanation:

Given:

1 unit = 1 Kilometre

To Find:

The distance between the library and the school

Solution:

The map below shows that  Henry has walked from

-2 coordinate in the x axis to coordinate 5  along the same x axis

So he has walked a total of 7 units

Since we know that 1 unit  = 1 Kilometre,

7 units will be

=> 7 x 1

=> 7 Kilometres

3 0
3 years ago
Read 2 more answers
A first number plus twice a second number is 55. Twice the first number plus the second totals 1313. Find the numbers.
Sphinxa [80]
The answer: x=857 and y=-401

Set up the two equations

X+2y=55
2x+y=1313

Solve the system of equations by elimination

2x+y=1313
-2x-4y=-110

Add each of the corresponding terms together

-3y=1203

Divide by -3

Y=-401

Plug y back into one of the original equations

X+2(-401)=55
X-802=55
X=857
4 0
3 years ago
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