Answer: -4(7g - 6h)(7g + 6h)
Step-by-step explanation:
Separate the 4 terms into two groups of 2 terms. Then factor out the GCF of each group. You should end up with a common factor in each group - that is one of the factors. The other factor is what you factored out from each term.
49g² - 36h² - 28g - 24h
(7g - 6h)(7g + 6h) -4(7g + 6h)
They both have a common factor of (7g + 6h)
The terms factored out are (7g - 6h) and -4
So, the factorization is: -4(7g - 6h)(7g + 6h)
What is the solution of the following system?
-2x-y=1
-4x-2y=-1
A. infinitely many solutions
B. no solutions
C. (3,8)
D.(-3,-8)
B
when we multiply the equation and subtract equatio 2 from equation 1 the result is 0=-4 and 0=2
Answer: The correct option is
(B) no solution.
Step-by-step explanation: We are given to find the solution of the following system of equations :
[tex]-2x-y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-2y=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
From equation (i), we have
[tex]-2x-y=1\\\\\Rightarrow y=-2x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (ii), we get
[tex]-4x-2(-2x-1)=-1\\\\\Rightarrow -4x+4x+2=-1\\\\\Rightarrow 2=-1,[/tex]
which can never be possible.
Thus, the given system of equations have no solution.
Option (B) is CORRECT.
Which is the graph of g(x) = x - 16?
Answer: See attached graph
An article fills 5/8 of a magazine page. A
related photo takes up 1/4 of the article. How
much of the page is taken up by the photo?
Answer:
35
Step-by-step explanation:
bundles tundra dismay chard bff dusk m u
Based on the given information, the photo takes up 5/32 of the page.
How much of the page is taken up by the photo?To find out how much of the page is taken up by the photo, multiply the fraction representing the article's portion of the page (5/8) by the fraction representing the photo's portion of the article (1/4).
First, calculate the fraction representing the photo's portion of the page:
(5/8) * (1/4) = 5/32
Therefore, the photo takes up 5/32 of the page.
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If f(x) = 3x2 + 1 find f(6).
109
5/3
325
Answer:
The answer is 109.
Do you use the Monarch school program?? Looks just like mine!
(Picture Included) Can someone help me on 5?
Answer:
43
Step-by-step explanation:
What is 5.9 rounded to
Answer:
6
Step-by-step explanation:
Charmaine will run less than 26 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run? Use t for the number of additional miles she will run. Write your answer as an inequality solved for t
Answer:
18+t<26
t={1,2,3,4,5,6,7}
Step-by-step explanation:
18+t<26
alright, so you know that she will run less than 26. That means she cannot run 26 or 27 or any more miles than that.
She can run 19, 20, 21, 22, 23, 24, or 25 miles in total from her starting point which is 18.
She already ran 18 miles. If she ran one more it would be 19, if she ran 2 more it could be 20. But she CAN NOT pass 25 miles. (it is not less than OR equal to)
so let me put it like this:
18+1<26 yes because 18+1=19 which is less than 26
18+2<26 yes because 18+2=20 which is less than 26
18+3<26 yes because 18+3=21 which is less than 26
18+4<26 yes because 18+4=22 which is less than 26
18+5<26 yes because 18+5=23 which is less than 26
18+6<26 yes because 18+6=24 which is less than 26
18+7<26 yes because 18+7=25 which is less than 26
18+8<26 NOOO because 18+8=26 which is NOT less than 26 (it's equal, not less than)
I really hoped this help please ask me more ill be happy to help. Also if u understood can I get the brainliest?
What is the constant of proportionality from the equation y=7.25x
Your bank account balance is −$20.85. You deposit $15.50. What is your new balance?
Your new balance=$-5.35
Answer:
[tex]-5.35[/tex] [tex]dollars[/tex]
Step-by-step explanation:
Currently, your bank account balance is [tex]-20.85[/tex] [tex]dollars[/tex]
You then [tex]deposited^{1}[/tex] [tex]15.50[/tex] [tex]dollars[/tex]
This means:
That you added $15.50 into your bank account balance, so:
-$20.85 + $15.50
==> -5.35
FOOTNOTE:
Deposited - put or set down
A school district purchased 615 new laptops for their mobile labs. Each computer cost $409. What is the total cost for all of the laptops?
Answer: $251,535 is the total cost for all the laptops.
Step-by-step explanation:
615×409= 251,535
Answer:
[tex]total\ cost=\$251,535[/tex]
Step-by-step explanation:
For this exercise it is important to analize the information provided in the exercise.
According to the exercise, the of cost each computer is:
[tex]cost=\$409[/tex]
You know that the school district purchased 615 new laptops for their mobile labs; therefore, in order to calculate the total cost for all the laptops purchased, you must multiply the cost of one laptop ($409) by 615.
Therefore, you get that the total cost is the following:
[tex]total\ cost=(\$409)(615)\\\\total\ cost=\$251,535[/tex]
7.
A holiday meal cost $12.50 a person plus a delivery fee of $30.
Which equation represents the amount a holiday meal
costs(y), including delivery, for x people?
Answer:
12.50x+30
Step-by-step explanation:
Answer:
[tex]y = 12.5x + 30[/tex]
Step-by-step explanation:
We are given the following information in the question:
Cost of a holiday meal = $12.50
Delivery fee = $30
Cost(y) represents the amount a holiday meal including delivery for x people.
[tex]cost = (\text{Cost of meal}\times x) + \text{Delivery chareges}[/tex]
Putting all the values,
[tex]y = 12.50\times x + 30\\y = 12.5x + 30[/tex]
The above equation gives the total amount of holiday meal for x people including the delivery charges.
Six times a number equals 3 times the number, increased by 12. Find the number
Answer:
x=4
Step-by-step explanation:
"A number" can be rewritten as X:
6x=3x+12
1) subtract 3x on both sides:
3x=12
2) divide both sides by 3:
x=4
Definiton of numerator?
The numerator is the number above a fraction bar. It indicates how many parts of the whole.
Answer: the part of a fraction that represents how many equal parts are being counted
Step-by-step explanation:
For example
1/6 the one is a numerator
Helppp it’s due today!!
Answer: 15 + c = 64
Step-by-step explanation:
we need to do 15 + 64
C represents her age, which would be 49, if you needed to know
Therefore the equation is 15 + c
Which of the following represents the additive identity?
1. ab = ab
2. a x 1 = a
3. a+b = b+a
4. a + 0 = a
Answer:
4. a + 0 = a
Step-by-step explanation:
The zero means that it is the additive property.
Answer:
a + b = a
Step-by-step explanation:
Additive identity- the number 0; when added to any number, the value of the number does not change.
What is the base of the triangle when the area is 120ft and the height is 8ft
The base is 30.
Hopefully I got this correct, not 100%
Answer: 30 ft
Step-by-step explanation:
Area of a triangle= (bh)/2
* multiply both sides by 2
2A=bh
*divide by h
(2A)/h=b
*substitute values
(2x120)/8=b
240/8=30
Julian saved between $ 30 and $ 52 over the summer. His friend Daniela saved twice as much. Let n represent the amount of money Julian saved. Write and solve an inequality to represent the amount of money Daniela saved.
Answer:
$60 - $104
Step-by-step explanation:
Based on what we know, we double $30 and double $52 which gives us $60 and $104. As we don't know the exact number we need to double we do that. This tells us that Daniela saved between $60 - $104.
If Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
It is given that,n represents the amount of money and Julian saved between $ 30 and $ 52 over the summer.
The inequality represents the amount saved by Julian is,
$ 30<n<$ 52
If Daniela saved twice as much then he saved the amount between $ 60 and $ 104.If n shows the inequality for the amount Daniela saved then the inequality is shown as,
$ 60<x<$ 104
Thus, if Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.
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Evaluate the variable expression for x = 5, and enter your answer in the box
below.
7•(x-8)-3
Answer:
-18
Step-by-step explanation:
I used order of operations. first. you want to go the thing in parentheses. then I times it by 7 and minuses it by 3
The evaluation of the given mathematical expression 7•(x-8)-3 for x = 5 results in -24.
Explanation:To evaluate the variable expression 7•(x-8)-3 for x = 5, we substitute the value of x into the expression.
This becomes 7•(5-8)-3, which simplifies to 7•(-3)-3, or -21-3. Therefore, the evaluation of the given expression for x = 5 is -24.
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What is lcm of 5 , 6 and 7
Answer:
210
Step-by-step explanation:
Since the three numbers have no factors in common, you can get the LCM by multiplying all three numbers.
Estimate 815-281 to get the answer
Answer:800-300
Step-by-step explanation:
since there is a 1 after the 8 it would go down to 800 and there is a 8 after the 2 so it would go up to 300
Answer:
The estimated answer is 780.
Step-by-step explanation:
Given : Expression [tex]815-28[/tex]
To find : Estimate the expression ?
Solution :
Estimation is to approximate the number to its nearest value for making calculation easier.
Estimate 815 as 810.
Estimate 28 as 30.
So, Substituting these values
[tex]810-30=780[/tex]
Therefore, The estimated answer is 780.
A bag contains 6 blue marbles, 4 red marbles, and 2 yellow marbles. What is the probability of selecting a blue marble, replacing it, then selecting another blue marble?
A. 1/4
B. 1
C. 30/144
D. 36/121
E. 30/121
through a point not in a plane are an infinite number of lines parallel to the plane always sometimes never
Answer:
sometimes
Step-by-step explanation:
i think sometimes
Answer:
ALWAYS!!
Step-by-step explanation:
5(8g+5-2)
Please explain
Will give thanks and brainliest
Answer:
[tex]15 + 40g[/tex]
Step-by-step explanation:
Use the Distributive Property to figure this out:
[tex]5(8g + 5 - 2) \\ 40g + 5(5 - 2) \\ 40g + 5(3) \\ \\ 40g + 15[/tex]
* The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
A shoe store offers a frequent-buyers card. Each transaction is worth 10 points, and customers
automatically earn 22 points when they sign up.
Enter the function rule for the transaction function, where p represents the number of transactions.
The function rule is N (p)=__
In graphing the function,___
would be the slope and___
would be the y-intercept.
Answer:
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.
Step-by-step explanation:
Let p represents the number of transactions.
Each transaction is worth 10 points, then p transactions are worth 10p points.
Customers automatically earn 22 points when they sign up.
The total amount of points is
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.
Use the properties of exponents to complete the equivalent expression.
Answer:
15
Step-by-step explanation:
We can multiply powers with the same base
x^4⋅x^2=(x⋅x⋅x⋅x)⋅(x⋅x)=x^6
Properties of exponents are rules used to simplify mathematical expressions involving exponents. Examples are Power of a Power which means adding exponents when multiplying two expressions with the same base, and Quotient of Powers which is subtracting exponents when dividing two expressions with the same base.
Explanation:The question is about the properties of exponents. In mathematics, the properties of exponents refer to the rules that guide how expressions involving exponents are handled. For example, when you multiply two expressions with the same base, you add the exponents (also known as the Power of a Power property). So, an exponent like x^3 * x^2 simplifies to x^(3+2) = x^5.
Another example is the quotient of powers property, where you subtract the exponents when dividing two expressions with the same base. So, an expression like x^5 / x^3 simplifies to x^(5-3) = x^2.
These are just a couple of the basic properties of exponents. Other properties include the power of a product, the power of a quotient, zero exponent, and negative exponent. Each of these properties follows specific rules to simplify the expression involving exponents.
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A chef wants to make 2 quarts of salad dressing. Currently, he has 18 parts oil, and 4 parts vinegar. How much oil must be added to get 24 parts oil and 3 parts vinegar? Write and solve an equation.
Answer:
24 plus 18 plus 2 plus 4 plus three
Anna has the following averages in his math class.
REPORT
CARD
Homework Avg: 95
Quiz Avg: 90
Test Avg: 87
Final Exam: ?
If the teacher weights homework at 20%, Quizzes at 20%
Tests at 40% , and the final exam at 20%, what is the
minimum grade Anna can make on the final so that she
scores a 90 in the class?
a. 86
b. 91
C.
d
94
98
Answer:
b) 91
Step-by-step explanation:
Step 1: Multiple marks by its weights
Homework average: 95 x 20% = 19
Quiz average: 90 x 20% = 18
Test average: 87 x 40% = 34.8
Final exam: y x 20% = 0.2y
Step 2: Add all weighted averages and find y
19+18+34.8+0.2y = 90
71.8 + 0.2y = 90
y = 18.2/0.2
y = 91
Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.
Option b is correct.
!!
Which mixed number is equvilent to thevimproper fraction 23/6
Subtract 5m-2 from m-7
Answer:
-4m-5
Step-by-step explanation:
The trick here is knowing not to combine terms with variables with terms that don't have variables.
[tex]m-7-(5m-2)\\m-7-5m+2\\m-5m-7+2\\-4m-5[/tex]
So the answer is -4m-5
Answer:
-4m - 5Step-by-step explanation:
[tex](m-7)-(5m-2)\\\\=m-7-5m-(-2)\\\\=m-7-5m+2\qquad\text{combine like terms}\\\\=(m-5m)+(-7+2)\\\\=-4m-5[/tex]
Which is bigger 0.999 or 1.0?
Answer:1.0
Step-by-step explanation: 0.999 repeating is not a whole number like 1.0
Answer:
1.0
Step-by-step explanation:
Look at where the numbers are placed, in regards to the decimal point.
If a number is 1 place before a decimal point (For example 5.0) it is in the ones place.
If a number is 1 place after a decimal point (For example 0.1) It is in the tenths place.
Any numbers that are to the right the decimal are smaller than numbers to the left!