3 1/4 - 4 1/2 show your work
If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.
X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?
Answer:
1400/100 x 2.25 = $31.50
how many feet tall is the building
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + [tex]\frac{3}{12}[/tex] ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]
[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]
h = [tex]\frac{55\times 5.25}{3.75}[/tex]
h = 77 ft
Therefore, height of the building will be 77 ft.
Five-eights of the sixth grade students at clearview middle school buy their lunch. If 256 students buy their lunch, how many sixth grade students are there
Answer: 409.6
Step-by-step explanation:
Let the total number of sixth grade students be represented by x.
We are further told that 5/8 of the sixth grade students at clearview middle school buy their lunch which was about 256 students. We can represent this into an equation as:
5/8 × x = 256
0.625x = 256
x = 256/0.625
x = 409.6
i need help finding z and y pls
Answer: i believe Z=115 and Y=30
Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.
please help me!!!!!
one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game
Answer:
The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Step-by-step explanation:
Let the rental cost of 1 movie be m.
Let the rental cost of 1 video game be v.
Step-by-step explanation:
solve for x 2|x|+5=11
Answer:
Solve for x over the real numbers:
abs(x) = 3
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 3 or x = -3
Step-by-step explanation:
please help will make brain list “simplify each expression”
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
[tex]\frac{x^{12} }{x^{2} }[/tex] = [tex]x^{12 - 2}[/tex]
12 - 2 = 10
So,
[tex]x^{10}[/tex] is the correct answer.
Hope this helps! ^^
1.2^a x 2^5 =2^0
a=?
Answer:
One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.
The rest of the equation seems to indicate the latter, so we'll solve both:
If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.
If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.
Step-by-step explanation:
Interpretation #1:
[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]
Interpretation #2:
Here the question is much simpler, as we need only add the exponents when adding and dividing:
[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]
Select ALL the correct answers.
Which equations have a greater unit rate than the rate represented in the table?
Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x
Answer:
y = 5/7 x
y = 7/9 x
y = 3/4 x
Step-by-step explanation:
Firstly, let us get the unit rate on the table
That would be;
y/x = 2/3
y = (2/3)x
so the fractions greater than 2/3 will
be our answer
3/4 is greater
7/9 is greater
5/7 is greater
A spinner has 3 yellow and 5 blue sections of equal size. A friend says the probability of getting a blue is 5:3. Describe and correct the error.
Answer:
5:8
Step-by-step explanation:
You have to combine the yellow and blue then put the blue amount in front.
Your thrteater company sells tickets to their holiday showing off the nutcracker. Tickets cost $5 each. Tickets for adults cost $8 each. The total sales on opening night is $720. Write an equation to show the total sales as a combanation of kid tickets and adult tickets sold.
Answer:
5x + 8y = 720
Step-by-step explanation:
Let the :
Number of kid tickets sold = x
Number of adult tickets sold = y
Hence:
Tickets for kids cost $5 each.
Tickets for adults cost $8 each.
The total sales on opening night is $720.
The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:
$5 × x + $8 × y = $720
5x + 8y = 720
Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is
5x + 8y = 720
Which equation shows this formula solved for m?
P=5(m+10) need help asap will give brainest
a. m=[tex]m=\frac{p-5}{10}[/tex]
b.m=[tex]\frac{p}{5}-50[/tex]
c.m=[tex]\frac{p-50}{5}[/tex]
d.m=5p-50
Answer:
viariables
Step-by-step explanation:
Find the value of 64 3/2
Answer:
65 1/2 or 65.5
Step-by-step explanation:
3/2 = 1.5 or 1 1/2
Answer:
65 1/2
Step-by-step explanation:
Lee read 1/6 of book on monday and another 1/3 of it on tuesday ,he took another 4 days to finish reading the book he read the same number of pages on each of the days ,what fraction of the book did he read on each of these days?
Answer:
1/8
Step-by-step explanation:
Let
The total fraction of the book read = 1
The remaining 4 days be represented as= x
Hence:
1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days
1 = 1/6+ 1/3 + x
x = 1 - (1/6+ 1/3)
x = 1 - (1 + 2/6)
x = 1 - (3/6)
x = 1 - 1/2
x = 1/2
The fraction of the book read in 4 days = 1/2
To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:
1/2 ÷ 4 days
= 1/2 × 1/4
= 1/8
Therefore, the fraction of the book that was read on each of the 4 days is 1/8
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
y=−34x 2 +1542x−10037
Answer:
10105
1542
Step-by-step explanation:
A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy? 1.Select all equations that represent the situation.a.4⋅25=?b.?⋅25=4c.25÷4=?d.4÷25=?e.?÷25=
Answer:
[tex]\frac{4}{25}[/tex] of a bag.
Step-by-step explanation:
A rectangle has an area of 36 square centimeters. The width of the rectangle is 4 centimeters.
What is the length of the rectangle?
The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?
Answer:
1/5
Step-by-step explanation:
The transformer formula is as expressed as
Ns/Np= Ip/Is
Ns and Np are the number of turns in the secondary and primary coil respectively
is and Ip are the currents in the secondary and primary coil respectively
Given the following
Ip = 16A
Is = 80A
Substitute into the formula
Ns/Np = 16/80
Ns/Np = 1/5
Hence the transformer's turn ratio is 1/5
Answer: for pf, 1:5 is WRONG!
Step-by-step explanation:
A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
Juanita decided to start saving for college. She deposited $500 into an account which earns 4% simple annual interest. How much will she have in her account after the end of the three years?
A: $60.00
B: $440.00
C: $560.00
D: 562.43
Answer:
The answer is D
Step-by-step explanation:
Which gives the prices in order, from least to greatest
Answer:
is there a picture to go with the problem?
Multiplying binomials using area model.
Answer:
4x²+35x+24
Step-by-step explanation:
FOIL the binomials and simplify
4x^2 + 35x + 24
That's all I know.
What is the distance from C to D?
A. 5 units
B. 1 unit
C. 25 units
D. 7 units
Answer:
Option A
Step-by-step explanation:
According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,
[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]
NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.
According to the question ,
Coordinate of C = (2 , -1)
Coordinate of D = (5 , 3)
Using distance formula ,
[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]
[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
What is the radius if you drew a new circle with a scale facter of 3
Answer:
it is 5
20-5-10=5 and there is your answer
need help solving a practice question
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!
find f(-3) f(x) = 4x+7
Answer:
-5
Step-by-step explanation:
4(-3) + 7
-12+7
Answer:
f(-3) = -5
Step-by-step explanation:
f(x) = 4x + 7
f(-3) = 4(-3) + 7
f(-3) = -12 + 7
f(-3) = -5
A is the center of the circle, and the length of CD is 15 centimeters.
1. Select a segment that is a radius.
Answer:
All answers expect CD
Step-by-step explanation:
A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD are a radius because it half of diameter, AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C
CD is the diameter.
