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VMariaS [17]
3 years ago
15

Factor the polynomial completely. x2 + 3x + 4

Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer:

x = 4

x = -1

Step-by-step explanation:

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Five years ago you deposited a sum of money into a savings account which has earned $150 in interest. The interest rate for the
sweet [91]

Answer:

$1000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000 × 0.03 × 5 = 150

I = $ 150.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 3% per year

for 5 years is $ 150.00.

5 0
3 years ago
Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w
babunello [35]

Answer:

\boxed{43}

Step-by-step explanation:

I think the easiest way to solve this problem is by brute force: trial and error.

We must find numbers that when divided by  

  • 4 leave 3 (4n + 3)
  • 5 leave 3 (5n + 3)
  • 6 leave 1  (6n + 1)

Here is a list of multiples of the integer n that satisfy the three conditions. \begin{array}{c|ccc}\mathbf{n} & \mathbf{4n+ 3} & \mathbf{5n + 3} & \mathbf{6n + 1}\\1 & 7 & 8 & 7\\2 & 11 & 13 & 13\\3 & 15 & 18 & 19\\4 & 19 & 23 & 25\\5 & 23 & 28 & 31\\6 & 27 & 33 & 37\\7 & 31 & 38 & \mathbf{43}\\8 & 35 & \mathbf{43} & 49\\9 & 39 & 48 & 55\\10 & \mathbf{43} & 53 & 61\\\end{array}\\\text{The only number that is common to all three lists is $\mathbf{43}$.}\\\text{The smallest possible number of muffins Mr. Baker could have baked is $\boxed{\mathbf{43}}$.}

Check:

43 \div 4 = 10R3\\43 \div5 = 8R3\\43 \div 6 = 7R1

OK .

6 0
3 years ago
If -10x – 9y = -7 is a true equation, what would be the value of<br> -30x – 27y?
Tpy6a [65]

Answer:

-30x-27y = -21

Step-by-step explanation:

We know that;

-30x-27y = 3(-10x-9y)

Recall, -10x-9y = -7

Thus; -30x-27y = 3(-7) = -21

8 0
3 years ago
Please provide steps. I have a test soon.
marishachu [46]

Answer:

B) 5x+15y=30

5x-5y=10

Step-by-step explanation:

First, we solve the top equations by addition.  Multiply the first one by -4.

-4x-12y=-24

4x-8y=4

This equals -20y=-20, so y=1.  Now we put that back into either equation and find that x=3.  So the solution set is (3,1)

Plugging those into each of the possible choices, we find that the answer is

B) 5x+15y=30.   5(3)+15(1)=30 15+15=30.   30=30 CHECK

5x-5y=10     5(3)-5(1)=10.  15-5=10.    10=10. CHECK

6 0
3 years ago
Which triangles are right triangles?<br> Select ALL correct answers.
vredina [299]

Answer:

2 , 3 ,4

Step-by-step explanation:

to find the right triangle use the pythagorian method

A^2+B^2= C^2

5 0
3 years ago
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