Answer:
a. 5(15-19)
Step-by-step explanation:
to factor out this expression you need to find the greatest common factor (GCF) in order to fully factor out the expression
the GCF of the number 75 and -95 is 5
divide both numbers by 5 to get 15 and -19
to finish out with the fully factored expression put 15-19 inside parenthesis and put a 5 outside of the parenthesis as shown below:
5(15-19)
Answer:
a. 5(15 -19)
Step-by-step explanation:
15*5 = 75
-19*5 = -95
Factor is:
5(15 -19)
Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball cards does each child have?
Answer:
24 and 36
Step-by-step explanation:
2x + 3x = 60
5x = 60
x = 12
Dawn has 2(12) = 24
Jackson has 3(12) = 36
Step-by-step explanation:
To find the number of baseball cards each person received we must first find the total parts
That's
2 + 3 = 5
For Dawn
Dawn's part is 2
We have
2/5 × 60
= 24 baseball cardsFor Jackson
Jackson's part is 3
That's
3/5 × 60
= 36 baseball cardsHope this helps you
please help asap it's important!!!
Answer:
486cm^2
Step-by-step explanation:
Surface area of cube = (6a^2)
6×9×9=486.
Two times the difference of a number and
nine is thirty-six.
Translate into an equation
Twice means muliply by 2
The difference of a number and 7 means subtract a number/variable and 7
Is equal to 9 means =9
2(X - 7) = 9
What is the slope of the line that
passes through these two points?
(0, 2)
(3, 8)
Remember, given two points,
(x1, yı)
Slope
rise (y2-yı)
(X2,92) run (x2-x1)
Simplify your answer completely.
Enter
Answer:
2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 8-2)/(3-0)
= 6/3
= 2
Answer:
2
Brainliest, please!
Step-by-step explanation:
(0, 2)(3, 8)
y = +6
x = +3
y/x = 6/3 = 2
[tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]
x=? Please tell
The roots of $x^2+8x+4$ are the same as the roots of $Ax^2+Bx+1$. What is $A+B$?[tex]The roots of $x^2+8x+4$ are the same as the roots of $Ax^2+Bx+1$. What is $A+B$?[/tex]
Answer:
4.5
Step-by-step explanation:
Hello, please consider the following.
First of all, let's assume that A is different from 0.
[tex]x^2+8x+4\\\\\text{It means that the sum of the zeroes is -8 and the product is 4}\\\\Ax^2+Bx+1=A(x^2+\dfrac{B}{A}x+\dfrac{1}{A})\\\\\text{So the sum of the zeroes is } -\dfrac{B}{A} \text{ and the product is }\dfrac{1}{A}\\\\\text{It comes.}\\\\-\dfrac{B}{A}=-8 <=> \dfrac{B}{A}=8\\\\\dfrac{1}{A}=4[/tex]
So,
[tex]A=\dfrac{1}{4}\\\\B=\dfrac{8}{4}=2\\\\A+B=\dfrac{1+8}{2}=\dfrac{9}{2}=4.5[/tex]
Thank you.
in the expretion7to the third power-4*3+8 the firstt operation is
Answer:
7³
Step-by-step explanation:
Using PEMDAS, we see that E (which stands for exponents) comes before M (which stands for multiplication) and A (which stands for addition) so the first operation you should do is 7³.
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Answer: d. savings
Step-by-step explanation:
First, what is an emergency?
Well, it depends on the situation, but suppose that you have a store where you sell edibles.
Some of these edibles may need to be stored in fridges, now suppose that one of the fridges breaks. That is an emergency, now you need to replace it the faster you can. In this point, you need to use savings specially prepared for situations like this.
So the correct option is d: savings.
PLS HELP BRAINLIST A RHANK YOU AND 5 STARS
Answer:
Hey there!
x=95
This is because x and the angle of 95 degrees are vertical angles, and vertical angles are congruent to each other.
Let me know if this helps :)
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Answer:
Hello,
Step-by-step explanation:
Part A:
Yes
Since
y=f(x)
f(0)=4
f(1)=7 : f(1)=f(0)+1*3
f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3
f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3
...
f(9)=31=28+3=f(8)+3=f(0)+9*3
f(n)=f(0)+n*3=4+n*3
Part B: y=3x+4
Part C: slope=3 , y-intercept=4
The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)
y-intercept indicate the original height of the plant.
a number with 2 consecutive natural digits, how many units will it increase if written in reverse order. Detail solution pls
Answer:
It will increase by 9 units.
Step-by-step explanation:
We can write the lowest number as 10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.
Subtracting:
10(a + 1) + a - (10a + a +1)
= 10a + 10 + a - 10a - a - 1
= 10a - 10a + a - a + 10 - 1
= 10 - 1
= 9.
The inverse of the function graphed below is a function.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
We are given a graph of a function. Shown graph represents a function because there is only unique value of y for each unique value of x.
So, it would pass the vertical line test.
All the vertical lines on the graph would cross the graph at only single point (unique) point.
But if we draw the inverse function graph, each of (x,y) coordinate would switch to (y,x) and the graph would flip to right side.
And if we draw any vertical line on the graph, it could cut the graph at two or more points.
Therefore, it would not pass the vertical line test and it would not be a graph of a function.
The inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
What is a function?A function is a relation between a dependent and an independent variable, say y and x respectively, written as y = f(x). Any such relationship will be called a function if and only if, there is only one value of y corresponding to every x.
We check for a graphed relation to be a function using the vertical test.
When is the inverse of a function also a function?The inverse of a function, say y = f(x), is given as x = f⁻¹(y), is also a function when f⁻¹(y) passes the vertical test, or simply y = f(x) passes the horizontal test.
What are vertical and horizontal tests?Vertical test: In the test, vertical lines are taken parallel to the y-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every vertical line ≤ 1, then the given relation passes the test, and it is a function.Horizontal test: In the test, horizontal lines are taken parallel to the x-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every horizontal line ≤ 1, then the given relation passes the test, and its inverse is a function.How to solve the given question?In the question, we are asked to tell whether the inverse of the given function graphed is also a function or not.
To check if the inverse is a function, we perform the horizontal test.
The given graph fails to pass the horizontal test, as for almost every line, the graph intersects two times to the line.
For example, the horizontal line y = 5, the graph intersects at two points.
Thus, the inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
Learn more about functions and inverse of functions at
https://brainly.com/question/3831584
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I WILL MARK BRAINLIEST!f(x)=x/x-7
Determine for each x-value whether it is in the domain of f or not
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = [tex]\frac{x}{x-7}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
solve
x - 7 = 0 ⇒ x = 7 ← excluded value
Thus
x = - 7 → in domain
x = 0 → in domain
x = 7 → not in domain
Answer:
-7= in domain
0= in domain
7= not in domain
Step-by-step explanation:
give the other person brainliest not me! they did really good!!!!
Jasper’s new copier can produce a copy every 0.57 seconds. Jasper calculates that it will take 6.57 seconds to produce 6 copies.
What error did Jasper make?
He placed the decimal point incorrectly after he multiplied.
He multiplied the time to produce one copy by 6 instead of 12.
He added 6 and 0.57 instead of multiplying.
He found the time to produce 57 copies instead of 6.
It takes 0.57 seconds per copy and he made 6 copies.
6 + 0.57 = 6.57
He added 6 and 0.57 instead of multiplying.
The easiest way to figure this out would be to do the problem by ourselves:
0.57 · 6 = 3.42, so it will take about 3.5 seconds.
We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:
He added 6 and 0.57 instead of multiplying.
Suppose when the price of gasoline is $3.50 per gallon the total amount of gasoline purchased in the United States is 6 million barrels per day. When the price of gas decreases to $3 per gallon the total amount of gasoline purchased is 8 million barrels per day. Based on these numbers and using the midpoint formula the percentage change in price is:
Answer:
Slope is -.25 =
Minus 25%
Step-by-step explanation:
x1 y1 x2 y2
6 3.5 8 3
(Y2-Y1) (3)-(3.5)= -0.5 ΔY -0.5
(X2-X1) (8)-(6)= 2 ΔX 2
slope= - 1/4
B= 5
Y =-0.25X +5
The percentage change is -25% the price of fuel is decreased by 25%.
What is the equation of a line?The equation of line is given as,
y = mx + c
Where m is the slope and c is the y-intercept.
Let the data is
x₁= 6 , y₁ = 3.5
x₂ = 8 , y₂ = 3
Calculate the change,
(Y₂ -Y₁ ) = (3)-(3.5)
ΔY = -0.5
(X₂-X₁) = (8)-(6)
ΔX = 2
Calculate the slope,
Slope = ΔY/ ΔX
Slope = -0.5 / 2
Slope = - 1/4 = -0.25
The equation formed by using the above data is,
Y =-0.25X +5
Therefore, the percentage change is -25% the price of fuel is decreased by 25%.
More about the equation of line link is given below.
https://brainly.com/question/21511618
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What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95
Answer: B) 87
Step-by-step explanation:
First, order the values from least to greatest:
75, 80, 87, 88, 95
Next, find the value that lies in the middle
75, 80, 87, 88, 95
Therefore, 87 is the median.
Answer:
B: 87
Step-by-step explanation:
Sorry for this very late response. But if anyone wasn't sure if the answer 87 is correct, it is. I can confirm this because I just took the test. I hope I could help! (:
If two 2x2 matrices are inverses of each other, then multiplying them will result in what matrix below?
inverse of a matrix A is defined as [tex] AA^{-1}=I[/tex]
where I is the identity matrix of the respective order.
The water level was - 4
feet before rainy season.
After rainy season the
water level was 4 feet.
By how much did the
water level change?
Any help is appreciated!!!
Can someone explain probability with permutations and combinations and explain where they are applied?
Answer:
If the order doesn't matter then we have a combination, if the order do matter then we have a permutation. One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the following formula: P(n,r)=n!
Step-by-step explanation:
To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.
Answer:
combination : If the order of numbers or operations does not matter
Permutation : when the order of numbers matter ( common example most teachers use : a code of 4 numbers has to be in a certain order and the numbers are from 0 to 9 , how many permutation can you make if you use the number one time)
P=n!/(n-r)!
n! ( are number from 0-9 we have 10 numbers)
r is the number of digits in the code = 4
n!=10*9*8*7*6*5*4*2*1
(n-r)!=(10-4)!=6!=6*5*4*3*2*1
P=5040 ways ( if the order matter)
If the order does not matter
Combination C(n,r)=n!/(n-r)!r!
C(10,4)=(10*9*8*7*6*5*4*2*1)/[(6*5*4*3*2*1)(4*3*2*1)]
factorise [tex]x^{2} - 121[/tex]
Answer:
(x+11)(x-11)
Step-by-step explanation:
Hello!
We are given the expression x²-121, and we want to factor it
The expression is a difference of squares expression.
The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)
121 is 11 squared, and x² is x squared
So that means that a=x, and b=11 in this case
Now substitute those values into the formula
a²-b²=x²-121=(x+11)(x-11)
Hope this helps!
Answer:
(x-11)(x+11)
Step-by-step explanation:
x^2 -121
x^2 -11^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(x-11)(x+11)
A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost
Answer:
Step-by-step explanation:
Let the number children tickets = c
Number of adult tickets = 75% of c = 0.75c
c + 0.75c = 1750
1.75c = 1750
c = 1750/1.75 = 1000
Number of children = 1000
Number of adults = 75% of 1000 = 750
Cost of adult ticket = $ x
Cost of child ticket = 75% of x = 0.75x
Cost of 750 adult ticket = 750x
Cost of 1000 children ticket = 1000 * 0.75x = 750x
750x + 750x = 27000
1500x = 27000
x = 27000/1500
x = $ 18
Cost of adult ticket = $ 18
Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5
Cost of children's ticket = $ 13.50
SOMEONE HELP PLEASE. Kylie is raising money for a school trip by selling packs of cookies and bags of chips. The price of each pack of cookies is $1 and the price of each bag of chips is $2. Yesterday Kylie made $42 and she sold 3 times as many bags of chips as packs of cookies. Graphically solve a system of equations in order to determine the number of packs of cookies sold, x, and the number of bags of chips sold, y.
Answer:
cookies (x): 6 soldchips (y): 18 soldStep-by-step explanation:
It is convenient to let a graphing calculator draw the graph for you. It can also display the solution: (x, y) = (6, 18).
__
The equations of interest are ...
x + 2y = 42 . . . . . . revenue from sale of x cookies and y chips
y = 3x . . . . . . . . . . 3 times as many chips as cookies
Answer:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of packs of cookies sold}
the number of packs of cookies sold
y=
y=
\,\,\text{the number of bags of chips sold}
the number of bags of chips sold
Each pack of cookies sells for $1, so xx packs of cookies will bring in 1x1x dollars. Each bag of chips sells for $2, so yy bags of chips will bring in 2y2y dollars. Therefore, the total amount 1x+2y1x+2y equals \$42:$42:
1x+2y=42
1x+2y=42
Since Kylie sold 3 times as many bags of chips as packs of cookies, she sold more bags of chips, so if we multiply 3 by the number of packs of cookies sold, we will get the number of bags of chips sold, meaning yy equals 3x.3x.
y=3x
y=3x
\underline{\text{Write System of Equations:}}
Write System of Equations:
1x+2y=
1x+2y=
\,\,42
42
y=
y=
\,\,3x
3x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
\begin{aligned}\color{indianred}{1x}+2y = 42\hspace{10px} & \hspace{10px}\color{green}{y}\color{green}{=}\color{green}{3x} \\[10px] 2y = \color{indianred}{-1x}+42\hspace{10px} & \hspace{10px} & \\[10px] \frac{2y}{2} = \frac{-1x+42}{2}\hspace{10px} & \hspace{10px} & \\[10px] \color{blue}{y} \color{blue}{= -\frac{1}{2}x+21}\hspace{10px}\hspace{10px} & \hspace{10px} & \end{aligned}
1x+2y=42
2y=−1x+42
2
2y
=
2
−1x+42
y=−
2
1
x+21
y=3x
Step-by-step explanation:
If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
Answer:
a = 2, b = -1Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
a = 2
b = 1 - 2 = -1
solving polynomial(2x+8)(-3y-8)
Answer:
-6xy - 16x -24y -64
Step-by-step explanation:
(2x+8)(-3y-8) =
To find the answer,
First multiply, the first number on both sides,
2x * -3y = -6xy
Then the first number on the left side and the second number on the right side,
2x * -8 = -16x
Then the second number on the left side and the first number on the right side,
8 * -3y = -24y
Then the second number on the left side and the second number on the right side,
8 * -8 = -64
Now add all the answers,
-6xy -16x -24y -64
Answer:
-6xy-16x-24y-64
Step-by-step explanation:
(2x+8)(-3y-8)
Foil
First 2x*-3y = -6xy
outer -8*2x = -16x
inner -3y *8 = -24y
last -8*8 = -64
Add them together
-6xy-16x-24y-64
DECIDE !!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]2020x-215y=10000\\\\y=\dfrac{2020x-10000}{215} =\dfrac{404x-2000}{43} =9x-46+\dfrac{17x-22}{43} \\\\\\17x-22\ must\ be\ divisible\ by\ 43\\\\\Longrightarrow\ x=19+43*k[ method \ of\ Gauss\ or\ theorem\ of\ Bezout)\\\\\\min(x+y)=min(10*(19+43*k)-46+\dfrac{17(19+43k)-22}{43} )\\=min(151+447k)\\\\is\ min\ if\ k=0\\\\x=19\\y=9*19-46+\dfrac{17*19-22}{43} =171-46+7=132\\\\x+y=151\\[/tex]
A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?
a box of 15 cookies costs 9$ what is the price of 1 coockie
Answer:0.60$
Step-by-step explanation:
15=9$
1=0.60$
Answer:
60 cents
Step-by-step explanation:
Which fractions are equal to 0.375? Select all that apply. A.) 375/1000 B.) 75/200 C.) 15/4 D.) 3/8 E.) 375/100
Answer:
A.) 375/1000, B) 75/200, D.) 3/8
Step-by-step explanation:
A number can be represented in many forms depending on the situation, it can be represented in form of ratio, decimals, fraction e.t.c.
Given the number 0.375 which is in its decimal form, this number can also be represented in the form of a fraction.
[tex]a)0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}\\\\ b) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{5(75)}{5(200)} =\frac{75}{200} \\\\d) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{125(3)}{125(8)}=\frac{3}{8} \\[/tex]
X+2/x-2 - x+3/x-1 solve
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]x+\frac{2}{x} -2-x+\frac{3}{x} -1[/tex]
[tex]= \frac{-3x + 5}{x}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
7(2x-7+1 please help
Answer:
14x-42
Step-by-step explanation:
7(2x-7+1 )
7(2x-6)
14x-42