Using the distributive property to factorize the equation 3x² + 24x = 0, you get 3x(x + 8) = 0 and the solution of the equation is x = -8
How to factorize the expression?The expression is given as:
3x² + 24x = 0
Factor out 3x
3x(x + 8) = 0
Divide both sides by 3x
x + 8 = 0
Subtract 8 from both sides
x = -8
Hence, the solution of the equation is x = -8
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Answer:
3x(x + 8) = 0 and x = -8
Step-by-step explanation:
It was correct for me
50 POINTS EACH!
On a 23 question test, I got 6 wrong. What is percent did I get right? (On 100 percent scale)
Answer:
26%
Step-by-step explanation:
To calculate the percentage score which you got right in your test,
Number of questions wrong/TOTAL number of questions * 100
6/23 * 100
= 26%.
Answer:
26%
Step-by-step explanation:
Hope I was able to help. Have an amazing day.
BTW- your profile pic is super adorable! :)
help brainiest if right
Answer:
h = 15 ft
Step-by-step explanation:
the line from the vertex to the base is a perpendicular bisector.
then the radius r = 16 ÷ 2 = 8
using Pythagoras' identity in the right triangle formed
with hypotenuse = 17 and legs h and 8 , then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15
What was the median temperature of the pond?
Answer:
70°f is the median temperature of the pond
1) Find the length of AC in the shape pictured below
Answer:
[tex]\sqrt{117}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.
6^2+9^2=(AC)^2
117=(AC)^2
So the length of AC is [tex]\sqrt{117}[/tex]
An electric guitar costs $830, with a $225 full-replacement warranty. if the manufacturer sells 532,475 warranties and has to honor 12% of them, how much profit did the manufacturer gain from the warranties? a. $105,430,050 b. $66,772,365 c. $53,034,510 d. $508,726,615
The profit which the manufacturer gained from the warranties is a. $105,430,050
Calculations and Parameters:Given that count 12% of 532,475:
532,475 - 100%
x - 12%
x= 63, 897.
This means that 63, 897 guitars were sold with a full-replacement warranty and 532,475-63,897=468,578 electric guitars were sold without a full-replacement warranty.
Hence, to find the gain of the manufacturer, $225·468,578
=$105,430,050 from the warranties.
Option A is correct: $105,430,050
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Answer:
b.
$66,772,365
Step-by-step explanation:
100% on EDGE
solve the equation using square root method, show work
Answer:
Step-by-step explanation:
2(x+7)^2 =98
(x+7)^2 = 49 (divide both sides by 2)
(x +7) = [tex]\sqrt{49}[/tex] (square root both sides)
x + 7 = 7 ( we are not sure if this is -7 or +7, because either would work )
so we have two solutions now
x +7 = -7 or x +7 = 7
x = -7 -7 or x =7 -7 (subtract 7 from both sides)
x = - 14 or x = 0
x/(x ^ 2 + 2xy + y ^ 2) + y/(x ^ 2 - y ^ 2)
Answer:
x2 + y2
_____________
(x + y)2 • (x - y)
What is the slope of the line shown above?
Answer:
1/4
Step-by-step explanation:
we can take two points on the line: (0,2) and (4,3)
to find slope:(2-3)/(0-4)
1/4
The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi
Answer:
v=2144.66
Step-by-step explanation:
formula: 4/2 (pi) (r)³
................
Answer:
V = 2143.573333333333.... in³
Step-by-step explanation:
Formula for volume -> V = 4/3 πr³
We know the circumverence now we need to et the radius.
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius.
16pi/pi = 16/2 = 8
V=4/3πr³
V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...
Multiply the complex numbers: (3 + 2i)(5 – 2i)
Answer:
19+4i
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
FOIL
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
Result of multiplication of complex numbers will be 19 + 4i
Given,
(3 + 2i)(5 – 2i)
Here,
Complex numbers standard form : x ± iy
Here,
x = real part
y = complex part.
i = iota = [tex]\sqrt{-1}[/tex]
So,
Multiplication : (3 + 2i)(5 – 2i)
⇒15 -6i + 10i -4i²
Here,
i = √-1
i² = -1
So,
15 -6i + 10i -4i²
15 -6i + 10i - 4(-1)
⇒19 + 4i
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Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many sections can he cut? Solve with steps pls<3
in your calculator, type in 18.25/6.
Cheri took out a loan for $14,350. the loan term was 3 years and cheri’s payments were $625.77 per month. since cheri had filed for bankruptcy several years prior, she ended up paying a higher interest rate. with a better credit rating, her payments could have been $431.21 per month. how much more in interest did cheri end up paying for her loan because of her bankruptcy? a. $5,836.80 b. $2,334.72 c. $8,624.16 d. $7,004.16 please select the best answer from the choices provided a b c d
Mandy drove 206 miles from Newcastle to Birmingham and stayed overnight at a
hotel costing £45. She then travelled 117 miles to London and stopped in another
hotel costing £68. From London, she drove 282 miles back to Newcastle. How many
miles in total did she drive, and what was the total cost of her accommodation?
Answer:
£113 and 603 miles.
Step-by-step explanation:
206 + 117 + 282 = 605 miles
45 + 68 = £113
£113 and 605 miles.
A town has a population of 72,700 and grows at a rate of 3.5% every year. Which equation represents the town’s population after 4 years?
Answer:
for 4 years: [tex]72,700 + 1.035^4(72,700)[/tex]
For n years: [tex]72,700 + 1.035^n(72,700)[/tex]
Step-by-step explanation:
Since each year the growth rate is 3.5 of the last year, n will represent the number of years.
[tex]72,700 + 1.035^n(72,700)[/tex]
Therefore since n is 4, the equation will be:
[tex]72,700 + 1.035^4(72,700) =72,700 + 1.15(72,700)[/tex]
Therefore this equation represents the town after four years.
Answer:
P=72,700(1+0.035)(1+0.035)(1+0.035)(1+0.035)
Step-by-step explanation:
Simplify the expression.
2x³y +7x³y-xy³
Answer:
xy*(2x^2 + 7x^2 - y^2)
Step-by-step explanation:
You can get xy out of the expression since all have xy
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
x2+134=−2x−14
ok this took a while But ...The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +148
Step-1 : Multiply the coefficient of the first term by the constant 1 • 148 = 148
Step-2 : Find two factors of 148 whose sum equals the coefficient of the middle term, which is 2 .
pls let me be right
Find the volume of the spear. Give your answer to the nearest cubic unit. 5mm
Answer:
[tex]b.\:\: 524 \: {mm}^{3} [/tex]
Step-by-step explanation:
[tex]V_{sphere} = \frac{4}{3} \pi \: {r}^{3} \\ \\ = \frac{4}{3} (3.1416) \: {(5)}^{3} \\ \\ = 523.6 \\ \\ \implies \: V_{sphere} \approx 524 \: {mm}^{3} [/tex]
Work out
26 ÷ (-7-12 ÷ 2)
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Q) 26 ÷ {(-7)-(12 ÷ 2)} = ?
→ 26 ÷ {(-7)-(12 ÷ 2)}
→ 26 ÷ {-7-6}
→ 26 ÷ -13
→ -2 is the final answer.
Describe the pattern in the sequence. Find the next two terms of the difference. Show work
-2, -5, -8, -11, ...
Answer:
-2, -5, -8, -11, ... -14, -17
Step-by-step explanation:
-3 each time.
Find the surface area of this prism.
Answer:
252
Step-by-step explanation:
3*9 = 27
3*9 = 27
3*9 = 27
3*9 = 27
9*6 = 54
9*6 = 54
3*6 = 18
3*6 = 18
Add them all up
Please help me this is do today
Answer:
A. 9y + 3 = 0
Step-by-step explanation:
To know if a function is linear without graphing it, check if the function is a polynomial of the first degree, because linear functions are polynomials of the first degree. This means that the power of the x-value should be equal to 1.
The only function without this trait is 9y + 3 = 0, so that is our nonlinear function.
hope this helps :)
Liam sells artwork for $135.00 per piece. Determine how many pieces of art Liam needs to sell to break even if the variable cost per piece of art is $21.45 and the fixed expenses are $35,654.70 per year.
a.113
b.215
c.301
d.314
Answer:
D. 314
Step-by-step explanation:
135.00 - 21.45 = 113.55
35,654.70 / 113.55 = 314
5b+ 11 = 26
Can you help me solve this equation
Answer:
b=3
Step-by-step explanation:
i subtracted 11 with the 26 and got 15 and then I divided the 5b with the 15 and got 3
Hope i helps<33
Answer:
b=3
Step-by-step explanation:
move the constant to the right-hand side and change its sign 5b = 26 - 11
subtract the numbers 5b = 15
divide both sides of the equation by 5 b = 3
Describe a real-life situation that you can represent with an inequality.
Answer:
Think about the following situations: speed limits on the highway, minimum payments on credit card bills, number of text messages you can send each month from your cell phone, and the amount of time it will take to get from home to school. All of these can be represented as mathematical inequalities.
Step-by-step explanation: Got this online hope it helps
Help asap for my sister
Answer:
A: 8.4
Step-by-step explanation:
Order of operations: BEDMAS. Brackets, exponents, division, multiplication, addition, and substraction.
Using this you need to do 2(1.2) first.
2(1.2)=2.4
Then 4.5-2.4=2.1
Then finally 4(2.1)=8.4
Hope that helps
please give brainliest
Answer:
pretty sure it's 8.4 don't come at me if it's not
Step-by-step explanation:
-2(2.1) = -2.4
4(4.5-2.4) = 4(2.1)
4(2.1) = 8.4
HELP MY COMPUTER IS ABOUT TO DIE! I ONLY GOT 1 MIN!!
Nora has a coupon for $3 off of a calzone. She orders a beef and olive calzone, and her bill, with the discounted price, is $9.49. Which of the following equations can be used to find the regular price of the calzone?
c + 3 = 9.49
9.49 - c = 3
c + 9.49 = 3
c - 3 = 9.49
Answer:
Step-by-step explanation:
c - 3 = 9.49
A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?
Answer: 230.4 feet
Step-by-step explanation:
arc length = circumfrance x fraction of a circle
= [tex]2\pi r[/tex] x [tex]\frac{165}{360}[/tex]
= [tex]\frac{2*\pi *80*165 }{360}[/tex]
= 230.4 feet to nearest tenth
The length of the intercepted arc between those two cars on the Ferris wheel is 230.4 feet. This is obtained by using the arc length formula in degrees.
Arc length:The distance across the curved length is said to be arc length.
The arc length is calculated by using the formula:
arc length = circumference × fraction of circle
⇒ arc length = 2πr × θ/360° when θ is given in degrees
where r is the radius.
Given data:Given that,
A Ferris wheel has a radius of r=80 feet
Two particular cars are located such that the central angle between them is 165° i.e., θ = 165°
Calculating the length of the arc:arc length = 2πr × θ/360°
⇒ 2π×80×[tex]\frac{165}{360}[/tex]
⇒ 230.38 feet
Rounding off to the nearest tenth, we get arc length = 230.4 feet.
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Instructions: Find the measure of the indicated angle.
Answer:
x = 66
Step-by-step explanation:
the triangle has 2 congruent sides and is therefore isosceles with the 2 base angles being congruent, then
x = 66
The measure of the indicated angle is 66 degree.
What is Isosceles Triangle ?An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:
It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.We have a Triangle.
Then, using Isosceles Triangle Theorem
Angles opposite an isosceles triangle's equal sides are also equal.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.
So, x= 66 degree.
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Please Help fast! (not rushing ya'll and, this is not high school math)
Answer:
this
Step-by-step explanation:
doesn't need any explanation
Answer:
It should be that since the -1 3/4 is negative and 4 1/2 is positive.
on the high attempts the picture was cut off and the last one is 98 in the picture
Answer:
Below in bold.
Step-by-step explanation:
Mean = (98+92+90+78+83+88+95)/7
= 89.1 to nearest tenth.
Deviations:
98 - 89.1 = 8.9
92 - 89.1 = 2.9
90 - 89.1 = 0.9
78 - 89.1 = -11.1 = 11.1 (absolute value)
83 - 89.1 = 6.1
88-89.1 = 1.1
95 - 89.1 = 5.9
So the MAD
= (8.9+2.9+0.9+11.1+6.1+1.1+5.9)/7
= 36.9/7
= 5.27
= 5.3 to nearest tenth.