Answer:
The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]
Step-by-step explanation:
Difference in non factored form:
To find the difference in non-factored form, we subtract the common terms. So
[tex]24x^4 - 15x^2 + 6x - (10x^4 + 5x^2 - 4x) = 24x^4 - 10x^4 - 15x^2 - 5x^2 + 6x + 4x = 14x^4 - 20x^2 + 10x[/tex]
Greatest common factor:
Of the exponents: Between [tex]x^4, x^2[/tex] and [tex]x[/tex], it is the one with the lowest exponent, so x.
Between 14, 20 and 10:
14 - 20 - 10|2
7 - 10 - 5
So 2
The gcf is 2x, which means that the factored expression is:
[tex]2x(\frac{14x^4}{2x} - \frac{20x^2}{2x} + \frac{10x}{2x}) = 2x(7x^3 - 10x + 5)[/tex]
The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]
round 18334 to hundreds
Answer:18300
Step-by-step explanation:
The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:
Answer:
[tex]\%Rate = 0.0142\%[/tex]
Step-by-step explanation:
Given
[tex]Population = 183000[/tex]
[tex]New\ Cases = 26[/tex]
[tex]Active\ Cases = 264[/tex]
Required
The incidence rate
This is calculated as:
[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]
[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]
[tex]\%Rate = 0.0001420765 * 100\%[/tex]
[tex]\%Rate = 0.01420765\%[/tex]
[tex]\%Rate = 0.0142\%[/tex] --- approximated
Hence, the incidence rate is 0.0142%
Dan buys a car for £3200.
It depreciates at a rate of 5.1% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£2509
Step-by-step explanation:
3200x0.941*4 =2509
Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)
Answer:
No, it does not.
Step-by-step explanation:
It's a linear function, with a slope of -3 (down 3 for every new X as you move right)
Precalculus (view picture) pt2
Answer:
E
Step-by-step explanation:
Tony is trying to find the solutions to the quadratic equation 3x2 + 24x - 15 = 0 by factoring and
has come to you for help. Explain why Tony would need to use a method other than factoring to find
the solutions to this equation.
DO NOT SOLVE and be specific in your explanation.
В І у
0 / 1000 Word
Answer:
You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.
Explanation:
3x² + 24x - 15 = 0
3(x² + 8x - 5) = 0
[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]
Then you can either use the box or pq method (since a is 1) to find working factors.
x² + bx + c → (x + p)(x + q).
p + q = b.
pq = c.
In this case with 3(x² + 8x - 5), b is 8 and c is -5.
This means we need two numbers that add up to 8 and multiply to -5.
Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.
1 + -5 = -4 ≠ 8
-1 + 5 = 4 ≠ 8.
Since we cannot find rational solutions, this cannot be factored, and so we must use another method.
need help with this problem
2x+y=1
y =−x + 1
Answer:
x = 0 , y = 1
Do let me know if you get it right :)
SP=3x+1, and LN=10x−6. Find SP.
Answer:
ax+dx=c+e
Step-by-step explanation:
Answer:
SP=7
Step-by-step explanation:
As we know that
1/2 LN=SP
10x-6=2(3x+1)
10x-6=6x+2
4x=8
x=2
SP=3*2+1=7
The answer is 7.
A pair of athletic shoes costs 90$. If the inflation rate remains constant at 4%, write an algebraic rule to determine the cost, c(t), of the shoes after t years. c(t) =
REALLY NEED THIS ANSWER
Answer:
c(t)=90+90×0,04t
c(t)=3,6t + 90
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
5x2( 2x + 7 ) − 2( 2x + 7 ) that's it.
Answer:
b
Step-by-step explanation:
Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.
Answer:
3 and 60
Step-by-step explanation:
3 × 60 = 180
180 = 180
3² + 2(60)
= 9 + 120
= 129 minimum
Add and Subtract Linear Expressions
1. Subtract m + 8 from 5m + 11.
Enter your answer in the box.
2. Add the two expressions.
−4.2x+3 and 2.5x−6
Enter your answer in the box.
Answer:
1. 4m + 3
2. -1.7x - 3
Simplity to create an equivalent expression. 6(7 – 3y) + 6(y +1)
Answer:
48-12y
Step-by-step explanation:
So first you have to distribute
it would be...
42-18y+6y+6
then you put it together
48-12y
i need help lol with this problem pls help pls pls pls
Answer:
Step-by-step explanation:
For this triangle, since the angle is included between 2 given sides, the formula will be:
[tex]A =\frac{1}{2}ab*ac*sin(angleA)[/tex]
Putting values where they belong:
[tex]A=\frac{1}{2}(10)(12)sin72[/tex]
Do all that in your calculator (in degree mode, NOT radian!) to get
A = 57.1 square cm
Who can help me with this question problem
Answer:
use the formula and evaluate the givens
Step-by-step explanation:
336=(14/11)^2 * 22/7*h
336=196/121 * 22/7h
336= 4312/847h
336= 5.09h
h=66
1/2 e = 1/4 help I don't know what this means
Which equation has no real solutions?
) −2x2=−168
) 4x2+ 76 = 32
) 25x2= 1
) 43 −x2= 12
Answer:
Step-by-step explanation:
4x² + 76 = 32
4x² = -44
x² = -11
but x² must be non-negative, so there is no real solution.
In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
4.4
2.1
E
С
Answer: 61.5
Step-by-step explanation: gave up on deltamath
1 /3 + 1 /9 / (7/10 * 5 / 4 )
Answer:
0.46
Hope it helps..
have a great day : )
two classrooms held 62 desks. at this rate, how many desks would be needed for 15 classrooms?
HELPPPP PLEASE ASAP
Answer:
465
Step-by-step explanation:
If a classroom averages 31 desks (62/2=31) for 1 classroom, 31 multiplied by 15 is 465
which function is equivalent to F(x)=-4(x+7)^2-6?
[tex]\huge\mathfrak\orange{answer}[/tex]
Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.
[tex]f(x) = \red{-4(x+7)^2 - 6}[/tex]
[tex]f(x) = -4(x^2 + 14x + 49) - 6[/tex]
[tex]f(x) = -4x² - 64x - 196 - 6[/tex]
[tex]\underline{f(x) = -4x² - 64x - 202}[/tex]
(good luck :) and mark me brainliest if you're satisfied with my answer)
I need help with this please
Answer:
A' = (4, 4)
B' = (12, 4)
C' = (4, 10)
Step-by-step explanation:
Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.
A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4
A' = (4, 4)
B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4
B' = (12, 4)
C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10
C' = (4, 10)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
If you earned $60 from $500 in sales , What is the percent commission?
Answer:
300
Step-by-step explanation:
Solve for n.
5 (n+11) = 5 • 9 + 5 • 11
Porsche makes fresh batches of cookies to sell at the farmers market each weekend. Every week, she buys all the necessary ingredients and materials to start baking. The graph below shows the profit, P vs the batches of cookies sold, c which of the following statements is FALSE about the relationship graphed below ?? A. The profit Porsche will make increases as the batches of cookies sold increases. B. If Porsche does not sell any cookies, she will lose 250$. C. Porsche must sell at least 40 batches of cookies to break even. D. Porsche will make 150$ for every 20 batches of cookies sold at the farmers market.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
3 inches / 1.25 miles = x inches / 10 miles
x = 24 inches
Answer:
24 inches
Step-by-step explanation:
create a proportion of inches/miles = inches/miles
let x = # inches in 10 miles
3 / 1.25 = x / 10
cross-multiply:
1.25x = 30
x = 30/1.25
x = 24
Class A had 33 students and class B had 21 students. A number of students were moved from class A to class B so the classes now have the same number of students. Write the equation and solve for how many students were moved.
Answer:
i think its 12.12 kids got moved
Step-by-step explanation:
i just subtracted 33 - 21 = 12...
SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY
Answer:
The answer is 60 minutes.
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
10 * 6 = 60
I need help pls answer
Answer:
4y²+2 = ( 4y × 4y ) + 2
Step-by-step explanation:
please mark me as brainliest answer.
Ashley has a points card for a movie theater.
• She receives 25 rewards points just for signing up.
• She earns 2.5 points for each visit to the movie theater.
• She needs 45 points for a free movie ticket.
How many visits must Ashley make to earn a free movie ticket?
Answer:
8
Step-by-step explanation:
45 points for a free movie - 25 points = 20 remaining points needed
20 / 2.5 = 8
She would need 8 visits to earn a free movie ticket.
Answer:
8
Step-by-step explanation:
25+2.5x=45
subtract 25 from each side
2.5x=20
divide both sides by 2.5
x=8