Answer:
-The final answer is [tex]9x + 6[/tex] .
Step-by-step explanation:
Simplify the following equation:
[tex]2(x - 4) + 7(x + 2)[/tex]
-Use Distributive Property:
[tex]2(x - 4) + 7(x + 2)[/tex]
[tex]2x - 8 + 7x + 14[/tex]
-Combine [tex]2x[/tex] and [tex]7x[/tex] together:
[tex]2x - 8 + 7x + 14[/tex]
[tex]9x - 8 + 14[/tex]
Add [tex]-8[/tex] and [tex]14[/tex] together:
[tex]9x - 8 + 14[/tex]
[tex]9x + 6[/tex]
So, the final answer is [tex]9x + 6[/tex] .
4. A driver set a goal to earn $2,000 in March. He receives a base salary of $1,000 per month as well as a 20% commission for all sales in that month. What does his total sales have to be this month to reach his goal?
Answer:
X=$5,000
Step-by-step explanation:
You can write an equation in slope-intercept to find an answer.
y=0.2x+1000, 20% commission is the slope and the base pay is the y-intercept.
Now, just plug in 2,000 for y.
2,000=0.2x+1,000, subtract 1,000.
1000=0.2x, Multiply by 5 to get x by itself.
x = 5,000
Hope this helped youuuuu
What is the result of subtracting the second equation from the first?
-2x + y = 0
-73 + 3y = 2
Answer:
The result is 2x + 2y - 73 = 2.
Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2
Answer:
B
Step-by-step explanation:
[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]
You can confirm this by working in reverse:
[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]
Hope this helps!
Answer:
(x−4)^2
Step-by-step explanation:
I did the test
someone pls help mee
Answer:
-1/2
Step-by-step explanation:
The formula for slope is: y1-y2/x1-x2
The points given are: (x coordinate, y coordinate)
In the formula,
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
This said, we can plug our points in.
5-(-1)/-3-9
Simplify.
5+1/-12
6/-12
Divide both the numerator and denominator by -6.
-1/2
Arithmetic Reasoning
4. A duplicator can make 75 copies of a letter per minute, and 300 copies from one master. After how long must the master sheet be changed?
a. 4 minutes
b. 5 minutes
C. 6 minutes
d. 15 minutes
Answer:
a. 4 minutes
Step-by-step explanation:
Since the duplicator makes 75 copies a minute, and can only make 300 copies from one master, we divide 300 copies by 75 copies, leaving us with four. So our answer is that the master sheet must be changed every 4 minutes.
What is the area of this triangle?
Answer:
8 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (7-3) * (4-0)
= 1/2 4*4
= 8
What is the volume of a hemisphere with a radius of 40.7 in, rounded to the nearest tenth of a cubic inch?
Answer:
[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]
[tex]\pi =3.14[/tex]
[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]
[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]
Step-by-step explanation:
1. Volume of sphere
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
2. Volume of hemisphere
[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]
The volume of hemisphere is 1,41,130.7 cubic inch.
What is hemisphere?The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.
Given the radius of hemisphere = 40.7 inches
to find the volume,
volume of hemisphere = 2/3πr³
volume of hemisphere = 2/3(3.14)(40.7)³
volume of hemisphere = 2/3(3.14)(67419.143)
volume of hemisphere = 1,41,130.7 cubic inch.
Hence the volume is 1,41,130.7 cubic inch.
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Which rhetorical technique is the speaker using? A.appeal B.overstatement C.parellelism D.shift
Answer:
From what chapter of a book?
Step-by-step explanation:
Answer:
he is making an appeal to someone to do something about something that he knows would be good for everyone
Step-by-step explanation:
I need help with congruence and similarity problem. ( picture below)
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
Find x, y and z to the nearest hundredth.
Answer:
see explanation
Step-by-step explanation:
This is an example of the Altitude - on - Hypotenuse theorem.
The altitude that is perpendicular to the hypotenuse of a right triangle.
The two triangles formed are similar to the given triangle and to each other.
x² = (smaller part) × (larger part) of main hypotenuse
x² = 6 + 19 = 114 ( square root both sides )
x ≈ 10.68 ( nearest hundredth )
---------------------------------------------
y² = ( smaller part) × (whole part) of main hypotenuse
y² = 6 × 25 = 150 ( square root both sides )
y ≈ 12.25 ( nearest hundredth )
--------------------------------------------
z² = ( larger part) × (whole part) of main diagonal
z² = 19 × 25 = 475 ( square root both sides )
z ≈ 21.79 ( nearest hundredth )
Which function shows a fabric with a price of $1.25 per square yard?
Answer: n=1.25x
Step-by-step explanation:
X represent the number of yards and n represent the total amount
The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function.
Given that the
Price of fabric = $1.25/ yard
Let's say the price of fabric = y
Square yard = x
Then y = 1.25x so it will be the correct answer.
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William, Nancy, and Edgar met at the lodge at 8 AM. William began hiking west at 3 mph. At 10 AM Nancy began hiking north at 5 mph and Edgar went east on a three wheeler at 12 mph. At what time was the distance between Nancy and Edgar 10 miles greater than the distance between Nancy and Willam? ____:____ AM/PM
Answer:
12:00 AM
Step-by-step explanation:
Taking the lodge as the center of the coordinate system, the position of each person is:
William: 6+3*t
Nancy: 5*t
Edgar: 12*t
where t is in hours after 10:00 am
Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.
WN = √[(5*t)² + (6+3*t)²]
Similarly, Between the positions of Nancy and Edgar:
NE = √[(5*t)² + (12*t)²]
If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then
NE = WN + 10
√[(5*t)² + (12*t)²] = √[(5*t)² + (6+3*t)²] + 10
With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM
In the section describing the survey methods, the report states, “For results based on the total sample of national adults, the margin of sampling error is ±4 percentage points at the 95% confidence level.” Interpret the meaning of this statement in terms of the poll. Use any statistic given in the report as an example to explain your interpretation.
Answer:
The interpretation of that same problem is listed throughout the section below on explanation.
Step-by-step explanation:
Interpretation:
Researchers seem to be confident with 95% that the sample selection standard error seems to be + as well as - 4 percent respectively. This same margin of sampling error would then decrease from either the mean or average value by four percentage points smaller or even larger, it describes the survey method.So that the above is the right answer.
Angle YXZ is 57 degrees.
Angle VXW is 57 degrees.
Angle WXZ is 123 degrees.
Angle XVW is 56 degrees.
Angle XWZ is ? degrees.
Angle XZW is ? degrees.
Answer:
Angle XVW is 56 degrees.
Angle XWZ is 28.5 degrees.
Angle XZW is 28.5 degrees.
Step-by-step explanation:
bcuz yes :)
Mr.Brown is planting trees in a field that is one mile long and 2 miles wide. How much is his field.
Answer:
Step-by-step explanation:
Wtwtettete
Answer:
2 miles squared.
Step-by-step explanation:
A= length times width
A= 1 mile times 2 miles
A= 2 miles squared
Which is the graph of the linear equation 3x – 4y = –12? On a coordinate plane, a line goes through points (0, 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3). On a coordinate plane, a line goes through points (0, negative 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Answer:
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Step-by-step explanation:
I graphed the equation on the graph below so you can where I got my answer.
Answer:
the answer is D
Step-by-step explanation:
hope this helps!
Can someone please help me with this?
Answer:
3/4
Step-by-step explanation:
There are 12 marbles in the bag
9 marbles are not blue
P(not blue) = marbles that are not blue / total marbles
= 9/12 = 3/4
7) Given that Sn=3-2^(-4n)
is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.
Answer:
Step-by-step explanation:
[tex]s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}[/tex]
[tex]=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}[/tex]
chris wxamines under his microscope. he finds that it is a cube with each side length 6 millimeters draw one square face of the crystal on the grid below
Answer:
Step-by-step explana
tion:
Ratatouille
If W = 3x + 1 and P = -2x + 7, what is 2W + 2P
Answer:
2x+16
Step-by-step explanation:
2W+2P
Lets substitute the W and the P for their respective values.
2(3x+1) + 2(-2x+2)
Simplify
6x + 2 + -4x + 4
Simplify again
2x + 6
And there you have it!
Answer:
2x + 16
Step-by-step explanation:
2W + 2P
= 2(3x + 1) + 2(- 2x + 7) ← distribute both parenthesis
= 6x + 2 - 4x + 14 ← collect like terms
= 2x + 16
Which of the following relations represents a function?
O A. {(1, 1), (1, 2), (1,3)}
O B. {(1, 1), (2, 1), (3, 1)}
O C. {(1, 1), (2, 2), (3, 3)}
O D. Both B and C.
OPTION NUMBER D IS CORRECT
D.Both B and C.
Step-by-step explanation:
function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).
what is the volume of a prism with a height of 4 feet and a base area of 9 square feet?
Answer:
36 units³
Step-by-step explanation:
To find the volume of a prism, you must multiply the base times the height. 4×9=36.
If f(x) = 2x2 + 3 and g(x) = x2 - 7, find (f-9)(x).
O A. 3x2 - 10
O B. 3x2 - 4
O c. x2 + 10
O D. x² - 4
Plzzz helpp
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x^2 + 3
g(x) = x^2 - 7,
(f-g)(x) = 2x^2 +3 - ( x^2 -7)
Distribute the minus sign
= 2x^2 +3 -x^2 +7
Combine like terms
= x^2 +10
Which statement describes whether a right triangle can be formed using one side length from each of these squares?
Area = 64 in
Area = 225 in
Area = 289 in
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of
the largest square
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the
largest square
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area
of the largest square.
Save and Exit
Set
Answer:
Step-by-step explanation:
The area of the given squares are
Area = 64 in
Area = 225 in
Area = 289 in
The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.
For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,
8² + 15² = 17²
289 = 289
Therefore, the correct statement is
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square
Answer:
B
Step-by-step explanation:
I got this right in edge 2020. Hope this helped! ;)
SOMEBODY HELP ME OUT !!
Answer:
D
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , thus
X(- 1, - 3 ) → X'(- 3, 1 )
Y(0, 0 ) → Y'(0, 0 )
Z(1, - 3 ) → Z'(- 3, - 1 )
Which of the diagrams below represents the statement if it is a square then it is a rectangle
Answer:
Plz show us the figures
Step-by-step explanation:
Answer:
The answer is Figure B.
Step-by-step explanation:
pls help this is due in 31 minutes pls help.
Answer:
option 3
Step-by-step explanation:
each little square represents a side of a cube, so it is 81 in^2
So, lets take a square root, since all distance is positive, it is 9, since a cub'es side lengths are all the same, the dimensions are 9*9*9inches, or option 3
Which of the following properties is represented by (x + y)(2 + z) = 2(x +y) + z(x + y)?
Associative Property of Multiplication
Commutative Property of Multiplication
Distributive Property
Associative Property of Addition
The final statement is: The property of distribution is used in the given expression.
What is a distributive property in math?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)
Clearly 2 and z get distributed over (x+y)
We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms
Thus this is the distributive property of multiplication.
Hence, Distributive property is the correct option.
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Solve the equation using the Quadratic Formula:
x2 + 6x + 3 = 0
Answer:
x = -2[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First we have to distinguish the numbers with x from the "normal" numbers.
2x and 6x are numbers with x.
3 and 0 are "normal" numbers.
Now we have to seperate them on different sides of the equal sign.
To do this, we can subtract 3 from the left side and then add it to 0 on the left side.
Therefore, the equation will now be 2x + 6x = -3.
Now we can add 2x and 6x together, making it 8x.
The equation will now be 8x = -3.
To find the product of x, we need to divide both sides together.
So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].
Therefore, x is -2[tex]\frac{2}{3}[/tex].
Hope my explination makes sense :)
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00
Answer:
B 6.00
Step-by-step explanation:
M= 6$
C= 9$
M+C= 6+9= 15$ per hour