factor the equation a² - a - 12
Answer:
a = -4
a = 3
Step-by-step explanation:
Hope that helps
men can do a work in 32 days in how many days will 24 men complete the same work
Answer:
It will take 32/24, or 1 1/3 days, for 24 men to get the job done.
Step-by-step explanation:
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization?
Answer:
2 positive unit tiles is needed
Step-by-step explanation:
Given the expression x^2 – 3x – 10, the partial factorization is as shown;
x^2 – 3x – 10
= x^2 +2x – 5x – 10
= x(x+2)-5(x+2)
= (x-5)(x+2)
Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)
From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization
Answer:
B i think
Step-by-step explanation:
Home Depot sells 400 stoves every day. Home Depot sells 125 more microwaves per day than stoves. Which equation can be used to find x, the total number of stoves and microwaves Home Depot sells in one day?
Answer:
400
Step-by-step explanation:
what is the slope of the line for y=-5x-12
Answer:
slope = -5
Step-by-step explanation:
y = mx + b
m = slope
In this case m = -5
Find each percentage of 75. Explain your reasoning.
What is 10% of 75?
What is 1% of 75?
What is 0.1% of 75?
What is 0.5% of 75?
Your friends and you go to Olive Garden for dinner. You all spend $55.65. You all leave a 15% tip. How much tip did you all leave?
Answer: You and your friends spent $8.35 for tips.
Step-by-step explanation:
BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)
Answer:
y = x^3 + x^2 − 20x
Step-by-step explanation:
Find the factors from the roots, then multiply the factors together.
f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.
What is polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that
f(x) = (x + 5)(x - 4)(x)
Multiply the factors together.
f(x) = (x + 5)(x² - 4x)
we have to open the brackets above
f(x) = x³ - 4x² + 5x² - 20x
Rearrange the likewise terms and apply the arithmetic operations,
f(x) = x³ + x² − 20x
This equation is true when x is equal to -5, 4, or 0 and for no other values of x.
Learn more about the polynomial here:
brainly.com/question/11536910
#SPJ2
I NEED HELP ASAP PLEASE HURRY
Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?
Prices, including taxes: Book: $10.58 and DVD: $19.50
The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Answer:
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Step-by-step explanation:
10.58 rounded is 11
19.50 rounded is 20
11+20=31
Answer:
I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo
that would equal 31.00, and he only has 30.00 to spend.
So I would say D.
Step-by-step explanation:
Question
Example
Step by Step
In kite ABCD, mZBAE = 28° and mZBCE = 58°. Find mLABE.
Answer:
[tex]m\angle ABE=52^\circ[/tex]
Step-by-step explanation:
Angles and Lines
The figure shows a kite ABCD where the following data is given:
[tex]m\BAE=28^\circ[/tex]
[tex]m\BCE=58^\circ[/tex]
We also know
[tex]BC\cong CD[/tex]
[tex]AB\cong AD[/tex]
Since triangle BCD is isosceles, it follows that:
[tex]m\angle CBE=m\angle CDE[/tex]
And triangles BCD and DCE are congruent.
Thus:
[tex]m\angle BCE=m\angle DCE=58^\circ[/tex]
And also:
[tex]m\angle BCE=58^\circ+58^\circ=116^\circ[/tex]
Since the sum of internal angles of BCD is 180°
[tex]m\angle CDE=m\angle CBE= ( 180 - 116 ) / 2=32^\circ[/tex]
The sum of angles of triangle CDE is 180°, thus
[tex]m\angle CED=180^\circ - 32^\circ - 58^\circ = 90^\circ[/tex]
Angles CED and BEA are vertical (opposite), thus:
[tex]m\angle BCE=m\angle CED= 90^\circ[/tex]
Finally, since the sum of the angles of triangle ABE is 180°
[tex]m\angle ABE= 180 - 90 - m\angle BAE[/tex]
[tex]m\angle ABE= 180^\circ - 90^\circ - 28^\circ = 52^\circ[/tex]
[tex]\mathbf{m\angle ABE=52^\circ}[/tex]
Leah had $24. She bought 7 sharpies and was left with $10. How much did each sharpie cost?
Answer: 2$ per sharpie
Step-by-step explanation:24 - 10= 14 7 x 2 =14
For every | | cats in the pet store, there are | | dogs.
Help plss
Answer:
for every one cat there are 4 dogs
Step-by-step explanation:
11 : 44
11÷1 : 44÷11
1 : 4
Roll a fair six sided die 1000 times. Out of 1000 rolls how many times an even number
Answer:
500 times!Step-by-step explanation:
the probability of a die showing an even number is 3/6 i.e, 1/2. for one role the probability of getting an even number is 1/2, therfore for a thousand role = 1000 x 1/2 = 500 times.
1/3 (x + 4) = 20
What is x in the equation (100 points :)))
Answer:
x = 56
Step-by-step explanation:
[tex] \frac{1}{3} (x + 4) = 20 \\ \\ x + 4 = 20 \times 3 \\ \\ x + 4 = 60 \\ \\ x = 60 - 4 \\ \\ x = 56[/tex]
EXAMPLE 6: Two trees outside the school have a height of 60 inches and 72
inches tall. How many feet are both trees?
Answer:
the first tree is 5ft and the second one is 6ft
Step-by-step explanation:
50 points please help me with this. Dont spam random things. If your smart answer this please
Answer:
top one
Step-by-step explanation:
Answer: It's B.
Step-by-step explanation: this is 1st grade math. good luck!
Nancy decides to roll a die three times.
What's the probability that she will roll all
even numbers?
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8
Answer:
0.125
Step-by-step explanation:
fastbridge
please help fast. - a pair of equations are shown below:
y = 7x - 8
y = 5x - 2
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 7x - 8 → (1)
y = 5x - 2 → (2)
A
Solving by substitution
Substitute y = 7x - 8 into (1)
7x - 8 = 5x - 2 ( subtract 5x from both sides )
2x - 8 = - 2 ( add 8 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(3) - 8 = 21 - 8 = 13
Solution is (3, 13 )
B
The point of intersection of the graph of the 2 equations is the solution to the above equations.
That is point of intersection = (3, 13 )
Simplify.
Hurry please :)
Answer:
[tex]6\sqrt{30}[/tex]
Step-by-step explanation:
A school flag consists of three rectangular sections that each have a different color.
In the diagram, a represents the width of the green section in inches
2
3
Write an expression to represent the
area of the flag as the sum of the areas
of each section.
Green
2x+21
+3
Purple
11
Orange
1) Write an expression to represent the area
of the flag as the product of the flag's
length and width
7
&
9
2+
?)
4
56
Answer:
[tex]Area =\frac{10x + 15}{2}[/tex] in both cases
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have the following given parameters
Green Section: Dimension: x by 2
Orange Section: Dimension: 2 by [tex]1\frac{1}{2}[/tex]
Purple Section: Dimension: 3 by (x + [tex]1\frac{1}{2}[/tex])
Solving (a): Area of the flag as a sum of each section
We simply calculate the area of each section.
[tex]Area = Length * Width[/tex]
For the green section;
[tex]Area = x * 2[/tex]
[tex]Area = 2x[/tex]
For the orange section
[tex]Area = 2 * 1\frac{1}{2}[/tex]
[tex]Area = 3[/tex]
For the purple section
[tex]Area = 3 * (x + 1\frac{1}{2})[/tex]
[tex]Area = 3 * (x + \frac{3}{2})[/tex]
[tex]Area = 3x + \frac{9}{2}[/tex]
Total Area = Sum of the above areas
[tex]Area = 2x + 3 + 3x + \frac{9}{2}[/tex]
Collect Like Terms
[tex]Area = 2x + 3x+ 3 + \frac{9}{2}\\[/tex]
[tex]Area = 5x+ \frac{6+9}{2}[/tex]
[tex]Area = 5x+ \frac{15}{2}[/tex]
[tex]Area =\frac{10x + 15}{2}[/tex]
Solving (b): Area of the flag as a product
From the attachment,
[tex]Length = 2 + 3[/tex]
[tex]Length = 5[/tex]
[tex]Width = x + 1\frac{1}{2}[/tex]
[tex]Area = Length * Width[/tex]
[tex]Area = 5(x + 1\frac{1}{2})[/tex]
[tex]Area = 5(x + \frac{3}{2})[/tex]
[tex]Area = 5x + \frac{15}{2}[/tex]
Take LCM
[tex]Area = \frac{10x + 15}{2}[/tex]
A number p is less than 6 and greater than 2. What’s the inequality?
Answer: 2<p<6
Step-by-step explanation:
p < 6
p > 2
if we were to flip that second one, p > 2, we get 2 < p.
now we combine that with the other inequality.
2 < p < 6
Gavin is a sales person. He sold at able for $477
and earned 20% commission. How much commission did Gavin earn?
Answer:
95.40
Step-by-step explanation:
first u do 10% and that is 47.7
then 20% is 47.7 times 2 and that is 95.40
Answer:
[tex]\huge\boxed{\sf \$ \ 95.4}[/tex]
Step-by-step explanation:
Commission = 20 % of $477
[tex]\sf = \frac{20}{100} * \$ \ 477\\\\= 0.2 * \$ \ 477\\\\= \$ \ 95.4\\\\He \ got \ a \ commission \ of \ \$ \ 95.4\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807the surface "s" area of a sphere of radius " r" is given by the formula of s= 4πr^2
find;
1, the surface area of a sphere whose radius is 5 cm
2,the radius of a sphere whose surface area is 23716/81
Answer:
As below
Step-by-step explanation:
1) 4*pi*[tex]5^{2}[/tex]= 314.159 [tex]cm^{2}[/tex]
2) s = 4 * pi *[tex]r^{2}[/tex]
[tex]\sqrt{s / (4*pi)}[/tex] =r
[tex]\sqrt{(23716/81)/ (4 * pi)}[/tex] = r
15.1643... = r :)
transversals angles
Answer:
It is C. 3
Step-by-step explanation:
Hope this helped have an amazing day!
HELP ASAP I WILL GIVE 25 POINTS AND MARK BRAINLIST!!!!!!
Answer:
1. Addition property
2. Division property
3. Given
next question
1. Distributive
2. Addition
3. Division
4. Given
Step-by-step explanation:
please help! i'll give brainliest.
what is it called when a magnet causes the atoms in a non-magnetic metal to line up and act like a magnet?
a: oriented magnet
b: permanent magnet
c: non-magnet
d: induced magnet
Answer:
B
i think i need 20 words so B
Answer:
B
Step-by-step explanation:
help me please, i need a answer asap
Answer:
14/24 can be a answer?
Step-by-step explanation:
Hope this helped :)
please help me answer this question!! will give brainliest and 5 star rating!!
what is the square root of 625
Answer:
25
Step-by-step explanation:
25 times 25 =625
Answer:
25
Step-by-step explanation:
for questions like these it is best to use a calculator
if you use a TI 84 calculator then press the blue button that says "2nd" and
then on that same column there will be a button that says [tex]x^{2}[/tex]
press these buttons then enter the number that you want to find the square root of
then press "enter" and your answer will be there
Write a linear function f with f(0)=3 and f(−6)=3.
f(x)=
Answer:
y = 3
Step-by-step explanation:
The equation of a line is;
y = mx + c
Now, when f(0) = 3, it means at x = 0, y = 3.
Thus;
3 = 0 + c
3 = c
Also, f(−6) = 3
Thus;
3 = -6m + 3
6m = 3 - 3
6m = 0
m = 0/6
m = 0
Thus,equation is;
y = c
y = 3