Answer:
(x-3)(x+2)
Step-by-step explanation:
¹ you open brackets.
² you put the "x" in both brackets
³ you then check for factors, that will give you a "6" when you multiply them and give you the "x" when you add or subtract them.
A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up
Answer:
$102.00
Step-by-step explanation:
Simply multiply 68 by 50 percent
68 × 50% or 68 × .5 = 34
so . .
Add 68 + 34 = 102
The triangle below is equilateral. Find the length of side a in simplest radical form
with a rational denominator.
By using the Pythagorean theorem, we conclude that side x measures (5/2)*√3 units.
How to find the length of side x?
In the image, we can see that the equilateral triangle can be divided into two right triangles.
If each side of the equilateral triangle measures 5 units, then for the right triangles we will have that the hypotenuse measures 5 units, and the bottom side measures half of that: 2.5 units.
Now remember the Pythagorean theorem. It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we will have:
[tex]x^2 + 2.5^2 = 5^2[/tex]
[tex]x = \sqrt{5^2 - 2.5^2} = \frac{5}{2}\sqrt{3}[/tex]
Then we conclude that side x measures (5/2)*√3 units.
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Which label on the cone below represents the diameter? a cone, a is the radius, b is the height, c is the center of the base, and d is the vertex. a b c d
The label on the cone that represents the diameter of the cone is the letter C
How to determine the correct label?From the figure in the complete question, the line C divides the base circle into two equal segments
The above is the same as the definition of the diameter
Hence, the label that represents the diameter of the cone is the letter C
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Answer:
C is the correct Answer
Step-by-step explanation:
6•(x•9) simplified please
Answer:
6x+54 should be the answer
Step-by-step explanation:
A triangle has sides with lengths of 20 yards, 48 yards, and 52 yards. Is it a right triangle?
yes
no
Yes
Step-by-step explanation:
Because the sides of this triangle follow the Pythagorean Theorem.
i.e.
[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]
[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]
somebody please help me on this.
Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.
Answer:
See below ~
Step-by-step explanation:
Based on the Ideal Gas Equation,
V ∝ TV ∝ 1/PUsing T :
V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 KUsing P :
P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPaHe can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.
Korey is planning to open a comic book store. when the store opens, he plans to be the only employee. as the business grows, he will extend his hours of operations and hire additional employees as necessary. in korey’s business plan, this information should be included in the _____ component. a. financial analysis b. organizational plan c. executive summary d. implementation plan please select the best answer from the choices provided a b c d
The information about the how to open a comic book store should be included in the b. organizational plan.
What is organizational plan?An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.
Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.
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SURFACE AREA QUESTION: the cargo area of the moving truck will be completely filled by 45 identical cube-shaped boxes. What will be the Surface area of one layer of boxes on the floor of the truck bed. (the truck has a height of 6 ft, a length of 6ft, and a width of 10ft.)
I believe it is 312, hope this helps, sorry if it doesn't!:)
After the translation, where is A located?
Answer:
(-3, 13)
Step-by-step explanation:
The transformation that moves a point 4 left and 8 up is ...
(x, y) ⇒ (x -4, y +8)
The transformation that reflects a point across the y-axis is ...
(x, y) ⇒ (-x, y)
Applied after the translation, the transformation of ∆ABC becomes ...
(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)
Then point A gets moved to ...
A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)
In the diagram, the radius is 7 and tangent AB has length of 24. Determine the length of OA rounded to the nearest whole number
Given the radius r and the tangent line AB, the length of the line OA is 24 units
How to determine the length OA?The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
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The prism shown represents a storage bin for a barn. The dark face will be open to allow people to place items inside.
A net of a triangular prism. Face A is shaded.
Which face of the net represents the open face of the prism?
A
B
C
D
Answer:
its A
Step-by-step explanation:
Consider the quadratic function shown in the table below. x y 0 0 1 3 2 12 3 27 Which exponential function grows at a faster rate than the quadratic function for 0< x < 3?
So values are
(0,0)(1,3)(2,12)(3,27)The rule is
3/1=312/2=627/3=9Explicit formula
x(3x) where x is set of integersEquation here is
y=3x²Answer:
[tex]f(x)=4^x[/tex] grows at a faster rate than the given quadratic function.
Step-by-step explanation:
Given table:
[tex]\large \begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 3 \\\cline{1-2} 2 & 12 \\\cline{1-2} 3 & 27 \\\cline{1-2}\end{array}[/tex]
First Differences in y-values:
[tex]0 \overset{+3}{\longrightarrow} 3 \overset{+9}{\longrightarrow} 12 \overset{+15}{\longrightarrow} 27[/tex]
Second Differences in y-values:
[tex]3 \overset{+6}{\longrightarrow} 9 \overset{+6}{\longrightarrow} 15[/tex]
As the second differences are the same, the function is quadratic.
The coefficient of [tex]x^2[/tex] is always half of the second difference.
Therefore, the quadratic function is:
[tex]f(x)=3x^2[/tex]
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Therefore, the average rate of change for [tex]f(x)=3x^2[/tex] over the interval
0 ≤ x ≤ 3 is:
[tex]\textsf{Average rate of change}=\dfrac{f(3)-f(0)}{3-0}=\dfrac{27-0}{3-0}=9[/tex]
An exponential function that grows at a faster rate than [tex]f(x)=3x^2[/tex] over the interval 0 ≤ x ≤ 3 is [tex]f(x)=4^x[/tex]
[tex]\large \begin{array}{| c | c | c | c | c |}\cline{1-5} x & 0 & 1 & 2 & 3 \\\cline{1-5} f(x)=4^x & 1 & 4 & 16 & 64\\\cline{1-5} \end{array}[/tex]
[tex]\textsf{Average rate of change}=\dfrac{f(3)-f(0)}{3-0}=\dfrac{64-1}{3-0}=21[/tex]
As 21 > 9, [tex]f(x)=4^x[/tex] grows at a faster rate than [tex]f(x)=3x^2[/tex] over the interval 0 ≤ x ≤ 3.
Hi pls how do I find the volume of a short cylinder
Answer:
You find the volume of a cylinder with the formula of π × r² × h
Please Help its a math problem !! see image attached below for more info
Answer:
g(x) = 2ˣ⁻¹ + 3
Step-by-step explanation:
f(x) = 2ˣ
Translated 1 unit right
Represented by (x - 1)f(x - 1) = 2ˣ⁻¹Translated 3 units up
Represented by adding 3g(x) = 2ˣ⁻¹ + 3Answer:
Well if its a translation on the x-axis the formula would be g(x) = -2×
Although Functions are not my strong suit
I hope i got this right!
7th grade math!!!!!! HELP!
Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?
A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4
The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
P(x) = x⁴ + x³ − 6x² − 4x + 8
P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8
By the synthetic division, we have
2 ║ 1 1 − 6 − 4 8
2 6 0 − 8
1 3 0 − 4 0
x³ 3x² − 4
By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
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What is the surface area of the
triangular prism shown?
Answer:
1120^2
Step-by-step explanation:
25x17=425
425+(8x25)=625
625+(8x15)=745
745+(15x25)=1120
please solve for me. please be correct
1. Emilio earns $150 per week plus 38% commission. He sells $2 000.00 in one week. What are his gross weekly earnings?
Answer:
more than what i have
Step-by-step explanation:
What is the answer of 11 6/9 - 4 4/9
Answer:
[tex]7 \frac{2}{9} [/tex]
Step-by-step explanation:
here is your answer
Calculation steps:
[tex]11 \frac{6}{9} - 4 \frac{4}{9} [/tex]
[tex] = (14 - 4) + ( \frac{6}{9} - \frac{4}{9} )[/tex]
[tex] = 7 + \frac{6 - 4}{9} [/tex]
[tex] = 7 + \frac{2}{9} [/tex]
[tex]7 \frac{2}{9} [/tex]
[tex]11 \frac{6}{9} - 4 \frac{4}{9} [/tex]
solution:[tex]11 \frac{6}{9} - 4 \frac{4}{9} [/tex]
[tex] = \frac{35}{3} - \frac{40}{9} [/tex]
[tex] = \frac{(35 \times 9) - (40 \times 30)}{3 \times 9} [/tex]
[tex] = \frac{315 - 120}{27} [/tex]
[tex] = \frac{195}{27} [/tex]
[tex] = 7 \frac{2}{9} [/tex]
Simplify 3(2x+6)+4x-1
Answer: 10+17
Step-by-step explanation:
Distribute:
3(2+6)+4−1
6+18+4−1
Subtract the numbers:
6+18+4−1
6+17+4
Combine like terms:
6+17+4
10+17
solution:
10+17
subtract the sum of t and r from s
Answer:
s-(t+r)
Step-by-step explanation:
What is the equation of the line shown in the graph?
Answer:
y = -x – 2
Step-by-step explanation:
Slope is ΔY/ΔX = -1
plug this into the equation:
1=-(-3) +b
= -2=b
so we get; y = -x – 2
Answer: y = -x - 2
Step-by-step explanation:
I will be writing this equation in slope-intercept form.
First, we will find our m value, also known as the slope.
[tex]\displaystyle \frac{\text{change in y}}{\text{change in x}} =\frac{1--4}{-3-2} =\frac{5}{-5}=-1[/tex]
Now, we will find our b value, or the y-intercept.
-> The line intercepts the y-axis at (0, -2), so our y-intercept is -2.
Lastly, we will write our equation.
y = mx + b
y = -x - 2
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How do I find out the median of this set of numbers?
138, 119, 182, 174, 142, 117, 152, 152
What is the answer F, G, H or J
Answer:
G its G
Step-by-step explanation:
Five different numbers are such that, 2 are odd, the median is 7, the mean is 8 and all numbers are less than 13. What are the five numbers?
what is the weight of a rectangular prism with the length of 1.75 width of 3.5 and a height of 7
Answer:
13.125
Step-by-step explanation:
Chen is given the graph below.
What type of graph is shown, and what is the growth factor?
linear function; growth factor of 2
linear function; growth factor of 4
exponential function; growth factor of 2
exponential function; growth factor of 4
in 2010 there were 3200 tigers in the wild in 2016 there were 3890 tigers what is the percentage increase. Give ur answer to the nearest whole number
A percentage is a way to describe a part of a whole. The percentage increase in the number of tigers is 21.56%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage change is given by the formula,
Percentage change = |(Intial Value - Final value)|/Initial Value × 100%
Percentage Change = |3200-3890|/3200 × 100% = 21.56%
Hence, the percentage increase in the number of tigers is 21.56%.
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Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)
Answer:
Exact Form:
- 31/80
Decimal Form:
-0.3875
Step-by-step explanation:
hope this helps
sorry if wrong
Answer:
-0.3875
Step-by-step explanation:
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