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3 years ago

Apply the distributive property to factor out the greatest common factor. 250-150x =

Mathematics

1 answer:

Savatey [412]3 years ago

7 0

Answer:

$50(5 - 3x)$

Step-by-step explanation:

The given expresion is

$250 - 150x$

The greatest common factor is 50.

We rewrite using the distributive property to get;

$50 \times 5- 50 \times 3x$ We collect the highest common factor to obtain:

$50(5 - 3x)$

Therefore when we factor out the greatest common factor from the given expresion we get;

$50(5 - 3x)$

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

1 year ago

WILL GIVE BRAINLIEST The sequence 7 21 63 189......shows the number of jumping jacks justin did each week, starting with the fir

vovangra [49]

this is a geometric sequence since there exists a common ratio r between the terms

r = $\frac{21}{7}$ = $\frac{63}{21}$ = $\frac{189}{63}$ = 3

to obtain the next term in the sequence multiply the previous term by 3

$a_{n+1}$ = 3 $a_{n}$ ← recursive rule

the n th term of a geometric sequence is

$a_{n}$ = $a_{1}$ $r^{n-1}$

where $a_{1}$ is the first term in the sequence

$a_{n}$ = 7 × $3^{n-1}$ ← explicit rule

3 0

3 years ago

100 stickers are evenly divided between 16 children how many stickers will be left over at the end

puteri [66]

Answer:

Step-by-step explanation:

First, we can know our multiplication charts and know that 16 x 6 = 96

96 is the closest we can get to 100 while still having a remainder, which is 4

4 is the remainder, and is the amount left over.

8 0

3 years ago

Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number

horrorfan [7]

Answer:

The correct options are:

Four families said they ate out twice the previous week.

One family said they ate out 5 times the previous week.

The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner Number of families

0 2

1 3

2 4

3 1

4 2

5 1

6 1

Hence, the range of the number line is between 0 to 6.

Also there are 4 dots above 2.

Hence, Four families said they ate out twice the previous week.

Also there is one dot above 5.

Hence, One family said they ate out 5 times the previous week.

The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?

Tysm!

4 0

3 years ago

Describe the graph of a quadratic function

maw [93]

So, given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. To put it in complicated terms. Or when A is positive the graph is shaped like a U but if A is negative the graph is an upside down U

7 0

3 years ago

Read 2 more answers