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hoa [83]
3 years ago
14

What is 3x2 + 21x + 18 in factored form?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Given

3x² + 21x + 18 ← factor out 3 from each term

= 3(x² + 7x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 7)

The factors are + 6 and + 1, since

6 × 1 = 6 and 6 + 1 = 7, thus

x² + 7x + 6 = (x + 6)(x + 1)

Thus

3x² + 21x + 18 = 3(x + 6)(x + 1) → B

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If 569 people voted in the election how many were over 65 years old
Debora [2.8K]

Number of people voted given is wrong.

Question:

If 596 people voted in the election how many were over 65 years old.

The image of the problem is attached below.

Answer:

Number of people voted 65 years old = 149

Solution:

Number of people voted in the election = 596

Let us first write the formula for the part value when percentage is given.

$\text {Part value}=\frac{\text {Percentage}}{100} \times \text {Whole}$

                $=\frac{25}{100}\times596

                =149

Hence, number of people voted 65 years old = 149

4 0
3 years ago
Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
vovangra [49]

Answer:

The other side = 13 feets long

Step-by-step explanation:

Given that :

Scale of drawing : 2 inches represents 5 feets

Area of rectangular room according to scale drawing = 24.96 in²

Length of one side of the room = 12 feets

Length of other side = x

Area of rectangle = Length * width

If :

2 inches = 5 feets

x = 12 feets

x = (12 *2) / 5

x = 4.8 inches

Hence,

For the scaled drawing :

4.8 * width = 24.96

Width = 24.96 / 4.8

Width = 5.2 inches

Converting to feets according to scale:

2 inches = 5 feets

5.2 inches = x feets

x = (5.2 * 5 ) / 2

x = 13 feets

Other side is 13 feets long

4 0
3 years ago
In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 97 feet. Find the length of TR to the nearest tenth of a foot.
Gelneren [198K]

Answer:

362

Step-by-step explanation:

97tan(75

4 0
3 years ago
if <img src="https://tex.z-dn.net/?f=%20%28a%2Bb%29%5E%7B2%7D%20%20" id="TexFormula1" title=" (a+b)^{2} " alt=" (a+b)^{2} " al
balandron [24]

(a+b)^2=a^2+2\cdot ab+b^2\\\\293=a^2+2\cdot 14+b^2\\\\293=a^2+28+b^2\\\\a^2+b^2=293-28\\\\\boxed{a^2+b^2=265}

4 0
4 years ago
Julie has been offered two jobs. The first pays $400 per week. The second job pays $175 per week plus 15% commission on her sale
noname [10]
So we solve for 1 week and set them equal to each other

first job pay=second job pay
400=175+15%ofsales
x=number of sales
400=175+0.15x
solve for x
subtract 175 from both sides
225=0.15x
divide both sides by 0.15
1500=x

she has to earn $1500 in sales per week to have as much as the other job
6 0
3 years ago
Read 2 more answers
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