Answer:
4a^2 + 9a + 10
Step-by-step explanation:
First we distribute
-4a^2 + (−6a) + (5)(3a) + (5)(2)
-4a^2 - 6a + 15a + 10
Then we combine like terms
4a^2 has no like terms, so it cannot be added onto anything else.
We add -6a to 15a
15a - 6a = 9a
4a^2 + 9a + 10
Answer:
Simplifying
(6a + -8)(4a2) = 0
Reorder the terms:
(-8 + 6a)(4a2) = 0
Remove parenthesis around (4a2)
(-8 + 6a) * 4a2 = 0
Reorder the terms for easier multiplication:
4a2(-8 + 6a) = 0
(-8 * 4a2 + 6a * 4a2) = 0
(-32a2 + 24a3) = 0
Solving
-32a2 + 24a3 = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '8a2'.
8a2(-4 + 3a) = 0
Ignore the factor 8.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:
Simplifying
a2 = 0
Solving
a2 = 0
Move all terms containing a to the left, all other terms to the right.
Simplifying
a2 = 0
Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-4 + 3a)' equal to zero and attempt to solve:
Simplifying
-4 + 3a = 0
Solving
-4 + 3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 3a = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 3a = 0 + 4
3a = 0 + 4
Combine like terms: 0 + 4 = 4
3a = 4
Divide each side by '3'.
a = 1.333333333
Simplifying
a = 1.333333333
Solution
a = {0, 1.333333333}
Step-by-step explanation:
Sallie is earning $8.70 per hour and got a 6% increase in her pay. What is sallies new rate of pay?
Question 36 of 45
The table below shows the amount of blue and yellow
paint needed to obtain a given amount of green paint.
The amount of blue paint needed to produce the green
paint is
you just need to subtract the amount of yellow from the amout of green
amount of yellow paint -amout of green paint =amount of blue paint
miguel is selling candy bars for a school fundraiser. if all candy bars habe the same cost and 2 candy bars costs $5 complete the ratio
Answer:
if 2 candies cost $5;
then 1 candy will cost $2.5
therefore, the ratio is 1:2
Select all of the expression that are equivalent to 4(3x + 14y)
Answer:
12x + 64y
Step-by-step explanation:
This is the distributed property. You need to apply it according to this question
Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many points does Denny have?
Answer:
it is 4
Step-by-step explanation:
12 ÷ 3 = 4
3 x 4 = 12
4 x 3 = 12
The radius of the earth is 6370 km what is the approximate circumference of the earth?
If we were to take a cross-section of our planet on the equator, we would get a circle. So, the circumference of this circle is the distance one would have to travel to go around the earth. The formula for the circumference of the circle is 2 x r x pi. The radius of the Earth is r, and pi is approximately 3.1415. So, the circumference is 2 x 6370 x 3.1415, which equals 40 029 km, or approximately 40 thousand kilometers.
Answer: 12,740π. If you use pi as 22/7, you get 40040. If you use pi as 3.14, you get around 40004, so the circumference is basically around 40000
Step-by-step explanation:
How many solutions does the system have?
y= -2x - 4
y= 3х + 3
Answer:
One solution
Step-by-step explanation:
The system has one solution and that is (-1.4, -1.2)
PLEASE PLEASE HELP ME WITH MATH SO I PASS THIS YEAR!
Answer:
Step-by-step explanation:
since ∠PRS is supplemental with ∠VUW , that is the two angles add up to 180 degrees, you know that TV is parallel with QS
then the order of the answer from top to bottom are
1
2
5
6
4
3
The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives. Which expression represents the distance from the library to the park as modeled on the coordinate grid?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
simplify the following
[tex]( \frac{1}{a} - \frac{1}{b}) {}^{ - 1} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{1}{a}-\frac{1}{b} =\frac{1*b}{a*b}-\frac{1*a}{b*a}\\\\=\frac{b}{ab}-\frac{a}{ab}\\\\=\frac{b-a}{ab}\\\\\\(\frac{1}{a}-\frac{1}{b})^{-1} = (\frac{b-a}{ab})*{-1}\\\\=\frac{ab}{b-a}[/tex]
Can someone help solve question 12 and 13 please
answer:
the answers are undefined and zero ( and in that order )
step-by-step explanation:
for question 12,
x = 10
since that equation is just a vertical line, the slope is undefined!
but for question 13
y = -5
the equation is just a horizontal line rather then a vertical line, the slope is zero ( since it is not moving )
i hope this helps you and if you need anymore help then please feel free to ask me! :)
Which expression is NOT equivalent to -3x - 1/2 + 4y?
A: 2y - 5x - 1/2 + 2y + 2x
B: -2x - 1/2 + 6y + 3x
C: -3x - 3/4 + 4y + 1/4
D: -3y - 3/4 + 7y + 1/4 - 3x
Answer:
-2x-1/2+6y+
Step-by-step explanation:
Find the slope of the line.
у
4
2
x
-4
-2
O
2
4
-2
-4
O 3/1
0 -3/1
O 6/2
O 1/3
2
Answer: 3/1
Step-by-step explanation:
A
Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2
Answer:
Step-by-step explanation:
Answer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
Find the measure of the indicated angle to the nearest degree.
Answer:41
Step-by-step explanation:
Write in the line in slope-intercept form given the slope of 1/3, through the point (-6,9)
Answer:
y = ¹/₃x + 11Step-by-step explanation:
A line passing through point (x₁, y₁) with the slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-6, 9) x₁ = -6, y₁ = 9
So:
y - 9 = ¹/₃(x - (-6))
y - 9 = ¹/₃(x + 6) ← point-slope form
y - 9 = ¹/₃x + 2 {add 9 to both sides}
y = ¹/₃x + 11 ← slope intercept form
The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field
Answer: 88.8 m , 59.2 m
Step-by-step explanation:
Given
Breadth is [tex]\frac{2}{3}[/tex] of length
Suppose length is x m
So, breadth is [tex]\dfrac{2}{3}x[/tex]
Perimeter is given by [tex]P=2(L+W)[/tex]
Putting values
[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]
Length L is [tex]88.8\ m[/tex]
width W is [tex]\frac{2}{3}x=59.2\ m[/tex]
Mary bought 4 small cookies for 40 cents each and 2 large cookies for 90 cents each how much did she spend all together
Answer:
$3.40
Step-by-step explanation:
4x.40 is 1.60
2x.90 is 1.80
Then you take 1.80+1.60 to get $3.40 Hope this helps!
A 30 gallon tank is being filled at a rate of 2 gallons per minute. There was 6 gallons of water in the tank to begin. Let y represent the total amount of water in the tank and m represent the number of minutes. Write an equation to model the amount of water in the tank.
The amount of water in the tank represented by the equation as:
y = 2m + 6, where y is the total amount of water in the tank, m is the number of minutes.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Let y represent the total amount of water in the tank and m represent the number of minutes.
We can model the amount of water in the tank using the equation:
y = 2m + 6
This equation states that the total amount of water in the tank (y) is equal to the rate of filling (2 gallons per minute) multiplied by the number of minutes (m), plus the initial amount of water in the tank (6 gallons).
For example, if we let m = 5, then y = 2 × 5 + 6 = 16, which means that after 5 minutes, the tank will contain 16 gallons of water.
Learn more about the Linear equations here:
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Delonte has 1,350 followers on social media. Each week, the number of followers increases by 2%. Which function represents his number of followers for w weeks?
Answer:
1350(1.02)^w
Step-by-step explanation:
hope this helped
Solve for x. I need help please
Answer:
The answer is 1 & 7/8 or the middle option
4/5x - 3/10 (x +4)
What is the solution to the question?
Answer:
1/10x(5x-12)
Step-by-step explanation:
4/5x-3/10x(x+4)
factor the expression
1/10x(8x-3x-12)
collect like terms to get 1/10x(5x-12)
What do balloon mortgage and ARM have in common?
Answer:
In other respects, a balloon mortgage resembles an adjustable rate mortgage (ARM) with an initial rate period equal to the balloon period. A 7-year balloon, for example, is usually compared to a 7-year ARM. Both have a fixed-rate for 7 years, after which the rate will be adjusted.
Step-by-step explanation:
Answer:
Both are subject to current market rate after the initial rate period.
Step-by-step explanation:
figure out wht n equals to in this equation 6n+4=-26
a.n=-6
b.n=8
c.n=-4
d.n=-5
Answer:
n=-5
Step-by-step explanation:
Do the equation backwards:
-26 - 4 = -30
-30 / 6 = -5
Check:
-5*6 = -30
-30+4 = -26
Hope this helps!
Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours. How far did Mia travel on her bike ride?
Answer:
43.5625 kilometers
Step-by-step explanation:
hi!
To solve this problem, you have to take note of the important information which is:
- 10.25 km/hour
- 4.25 hours
- how far did she travel?
To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers
10.25*4.25 = 43.5625 kilometers
I hope this helped :)
First person to answer both of these will get 10 points and Brainliest. But your answer has to be correct!
Answer:
The correct answer to a is 3 1/2 same answer for the other answer.
Answer:
a. 7/2 OR 3 1/2 Either answer should be acceptable
b. 82/15 OR 5 7/15 Either answer should be acceptable
Step-by-step explanation:
a. 5 3/4 = so first multiply the denominator, 4, by the whole number 5 so 4 x 5 is equal to 20. Add this to your numerator, 3.
20 + 3 = 23 so the new fraction is 23/4
Same thing with 2 1/4 4 x 2 = 8 + 1 = 9 9/4
23/4 - 9/4 = 14/4 simplify this to 7/2
b. Same process here:
7 2/3 3 x 7 = 21 + 2 = 23 23/3
2 1/5 5 x 2 = 10 + 1 = 11 11/5
This time, we need a common denominator
3 x 5 = 15
5 x 3 = 15
23/3 x 5/5 = 115/15
11/5 x 3 = 33/15
115/15 - 33/15 = 82/15
PLEASE HELP IM DESPERATE
need help ASAP !!!
[tex] \sqrt{2563 \times 2563} [/tex]
Answer:
√{2563×2563}=√2563²=±2563
PLEASE I NEED HELP- :,)
Answer:
x > 12
Step-by-step explanation:
since it is an open circle on 12 shading to the right we know it will be a greater than symbol on 12 so x > 12
Answer:
x>12
Step-by-step explanation:
It is an open circle so it does not include 12 and all values are greater than 12.
Freddie invests £6600 in an account that pays 3 % compound interest per annum for the two years, then 1 % . Work out how much money Freddie will have in his account in 8 years.
Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.For the first two years, the parameters are given as follows:
P = 6600, r = 0.03, n = 1, t = 2.
Hence the amount is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(2) = 6600\left(1 + 0.03)^{2}[/tex]
A(2) = 7002.
For the final 6 years, the parameters are:
P = 7002, r = 0.01, n = 1, t = 6.
Hence the amount after 8 years is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(6) = 7002\left(1 + 0.01)^{6}[/tex]
A(6) = 7433.
Freddie will have £7433 in his account in 8 years.
More can be learned about compound interest at https://brainly.com/question/25781328
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