Answer:
(-7x + 4)(-7x - 4)
Step-by-step explanation:
When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.
Ex: (a+b)(a-b)
OR (x+2)(x-2)
OR (m-3)(m+3)
OR (2x+1)(2x-1)
OR (-5n+7)(-5n-7)
These multiplications
(–7x + 4)(–7x + 4) and
(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.
(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.
Difference of squares:
(a+b)(a-b)=
a^2 - b^2
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answer:
250 because 250 times .4 equals 100
Step-by-step explanation:
Jeremy's dog is on an 11-foot leash that is tied to a pole, as shown in the diagram.
What is the area of the circle in which the dog can run? Use 3.14 for PI. Round your answer to the nearest square foot.
O 69 square feet
O 108 square feet
O 380 square feet
O 1520 square feet
Answer:
380
Step-by-step explanation:
area of a circle is pir^2
3.14(11)^2
3.14(121)
=380sqft
(03.01)
Is the following relation a function? (1 point)
x y
1 −2
1 −3
2 1
3 −2
Yes
No
Answer:
no
Step-by-step explanation:
the x values repeat itself
The given relation is not a function.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given a table of x and y values.
We have to determine the relation is a function or not.
By the definition of functions, a relation is a function if an input value does not map to two output values.
That is, an x value will not map to two y values.
From the table,
x = 1 maps to two y values -2 and -3.
This is not possible for functions.
So this is not a function.
Hence the relation is not a function.
Learn more about Relations and Functions here :
https://brainly.com/question/14230156
#SPJ7
2y=8x-6 Find the Slope
Answer:
Slope is 4
Step-by-step explanation:
2y=8x-6
divide by 2
y=4x-3
y=mx+b
m is slope
m=4
The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation. Please help 100 points and branliest.
[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]
What is the percent of change from 46 to 69?
Answer:
A change from 46 to 69 represents a positive change (increase) of 50% Use the formula found below on this webpage to find the percent change by replacing the given values: Percent change = New - Old |Old| × 100% Percent change = 69 - 46 |46| × 100% =
Step-by-step explanation:
Used my brain (Lol brain)
what is 13 divided by 4732
Answer:
Step-by-step explanation:
the answer is 13
The value of y varies directly with x.If x=25 then y=20 .a. find the value y when x=8 b. find the value of x when y=32
is that two problems in one?
How many centimeters in 3.9 meters?
Step-by-step explanation:
hope this help you ......
Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)
[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]
Alg 2 the problem is below please help !!!
Amy went to the store and bought 5 shirts that cost $10.59 each. She gave the cashier $60. How much change did she get back?
pls help and please show how you got it pls
Answer:
The answer is $7.05.
Hope it helps.
Step-by-step explanation:
Okay so Amy bought 5 shirts for $10.59 EACH.
So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.
So Amy gets $7.05 change back.
How many solutions does this system of equations
have?
Infinite
None
One
Answer:
Step-by-step explanation:
None
The hint is in the slopes which is the number in front of x. Both equations have a slope of 1/2
The y intercepts are different (4 for the top one 2 for the bottom one). That tells you that you have two lines and not one of top of the other. These two lines never meet, because the slopes are the same. Therefore there are no values that both lines have in common.
That makes the answer none.
5/7(x-9)=25
what does x equal?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
[tex]\frac{5}{7}(x-9)=25[/tex]
[tex]5(x-9)=175[/tex]
[tex]x-9=35[/tex]
[tex]x=44[/tex]
2. What is the x-intercept for the equation -2x + 5y = -10?
Answer:
Step-by-step explanation:
X intercept occurs when y = 0
-2x + 5(0) = -10
x = -10/-2
x = 5
. Macy's mom gives her $100 for her birthday. She buys shirts that're $15 each and pairs of pants that're $25 each. Which expression can be used to calculate how much money she has left? (Use s for shirts and p for pants.) *
Answer:
100-(15s+25p)
Step-by-step explanation:
y=-1,X+2y=9 solve by substitution show all work
Answer:
x = 11
Step-by-step explanation:
Substitute y = -1 into the equation.
x+2y = 9
; x+2(-1) = 9
x+(-2) = 9
x-2 = 9
x = 9+2
x = 11
The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent? [The percent increase is ___%]
Step-by-step explanation:
[tex]68 - 54[/tex]
[tex]14 \div 68 \times 100[/tex]
after doing that calculation you will get the percent increase
what is 1+1 equal to? PLZ explain in 5 sentences.
Answer:
2
Step-by-step explanation:
1+1 is equal to two. Imagine two objects, a green ball and a red ball. These one and one objects. Now you would want to but it inside a bag when you put it in the bag, someone asks you how many balls are inside the bag. Now count how many balls is in the bag which is 2.
Hope this helps!
please answer i have finals this coming week and i need to get my grade up
Answer:
first line for you graph would be from 5 to 5 and the second line is -4 to 2
Step-by-step explanation:
hope this is what you needed:)
Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cube A to the side length of Cube B?
(A) 3 : 5 ^1/3
(B) 5^1/3 : 3^1/3
(C) 3^1/3 : 5^2/3
(D) 3^1/3 : 5^1/3
(E) 3^2/3 : 5^1/3
Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:
[tex]r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]
Which means that option E is correct.
The volume of a cube of side length l is given by:
[tex]V = l^3[/tex]
For Cube A, the volume is of 9 cubic inches, hence:
[tex]l_a^3 = 9[/tex]
[tex]l_a = \sqrt[3]{9}[/tex]
[tex]l_a = 9^{\frac{1}{3}}[/tex]
[tex]l_a = 3^{\frac{2}{3}}[/tex]
For Cube B, the volume is of 5 cubic inches, hence:
[tex]l_b^3 = 5[/tex]
[tex]l_b = \sqrt[3]{5}[/tex]
[tex]l_b = 5^{\frac{1}{3}}[/tex]
Then, the ratio is:
[tex]r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]
To learn more about the volume of a cube, you can take a look at https://brainly.com/question/13030328
Hello, thanks for the fast reply! I was trying to make sense of the following equation:
Answer:
[tex]15\sqrt{3}[/tex] inches
Step-by-step explanation:
[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]
[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]
[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]
[tex]15\sqrt{3}[/tex] inches
Hope this helps!
Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?
Answer:
5
Step-by-step explanation:
(4n+5)-n/20=1 cross multiply:(4n+5)-n=204n+5=20+n4n-n=20-53n=15Divide both sides by coefficient of nn=5Finding the Area of a Triangle
Calculate the area of the triangle:
A=
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
What is the linear function equation represented by the graph?
Answer:
y=1/3x-4
Step-by-step explanation:
The point where the line intercepts the y-axis is the y-intercept and where the digit -4 comes from
1/3 comes from how many times the line rises (1) and run (3)
Hope this helps!
George and Marylin were both given the following example to complete on their
exam:
(152 +122-24x)
3.x
Below is each of their answers:
George
Marylin
(15x' +12° -24x)
3.x
(158° +12r -24x)
Зr
5r? +4x-8
5x +4x? - 8x
Which student is correct?
Explain the mistake that the other student made (Be detailed in your answer)
Answer:
this is not my level of math sorry i cant help you :(
Step-by-step explanation:
sorry
What is the degree of 3x^4-4x^2?
Answer:
the degree is 4
Step-by-step explanation:
the largest exponent of x
Identify the two irrational numbers
Answer:
Your answer is in picture hope it helps
Step-by-step explanation:
I REALLY NEED HELP PLEASE!!! ILL GIVE BRAINIEST!!! IT ENDS TOMORROW I NEED HELP
Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 1/2 hour. At the airport they exited the car and walked for 3/4 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 2 1/4 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a can. It was a 15-minute cab ride to get to Kiley's grandmother's house which was 12.3 miles away.
Answer the flowing questions about Kiley's trip. All questions are written in terms of an average rate. Assume the average rate includes the time that Kiley is at rest. (that is, not moving)
In this task you will write the ratio of miles to hours for each leg of Kiley's trip. You will then, express the ratio as a decimal number. Next you will find the unit rate in miles per hour for each leg of the trip. If your unit rate includes a repeating decimal number, you must include which digits repeat (for example write 0.3_ when the 3 repeats) A description of each leg is listed below in parts A-F
Part A:
A car ride from Kiley's house to the airport
Part B:
At the airport, the walk from the car to the waiting area by the gate
Part C:
The left from the waiting area to the airplanes takeoff
Part D:
the airplane ride
Part E:
The walk from the airport to the cab
Part F:
The cab ride
Answer:
I A
Step-by-step explanation:
A is the answer sorry I cant conform
Answer:
[tex][tex]\red{\rule{100pt}{100000pt}}[/tex][/tex]
Logan and his sister, Tessa, are baking oatmeal raisin cookies. Logan uses 1.25-ounce scoops
of dough to form his cookies, and Tessa uses 1 12 -ounce scoops for hers.
Who is making bigger cookies?
Answer:
Logan is making bigger cookies
Step-by-step explanation:
1.25 > 1.12