Step-by-step explanation:
20x + 10 = 10 - 10x
Now bringing like terms on one side
20x + 10x = 10 - 10
30x = 0
x = - 30
Answer:
Step-by-step explanation:
-5(-4x-2)=-2(5-5x)
20x+10=-10+10x
20x-10x=-10-10
10x=-20
x=-2
Evaluate the quadratic function, f(x) = 3x2
– 4x – 9 at x = -2
Answer:
11
Step-by-step explanation:
f(x) = 3x^2 – 4x – 9
Let x = -2
f(-2) = 3 (-2)^2 -4(-2) -9
=3(4) +8 -9
=12 +8 -9
20-9
11
Explain how you find m∠3 if m∠5 = 130° and m∠4 = 70°. *
Answer:
The required measure of angle 3 is 60°.
Step-by-step explanation:
We are given to find the measure of angle 3 from the figure if
m∠5 = 130° and m∠4 = 70°.
Let the measure of angle 3 be x°.
From the figure, we note that
angle 5 is an exterior angle and angles 3 and 4 are two remote interior angles of the triangle.
We know that
the measure of an exterior angle to a triangle is equal to the sum of the measures of two remote interior angles.
So, we get
Thus, the required measure of angle 3 is 60°.
Factor completely.
5x 2 + 10x - 40
Answer:
(x + 4)(x - 2)
Step-by-step explanation:
For factoring when there's a coefficient on the leading variable, I use the "slip n' slide" method (my teacher called it that, I had no part in naming it), but when that fails, you can use the quadratic formula.
First, you "slip" the leading coefficient to the end, and multiply.
5x² + 10x - 40
x² + 10x - 200
Now, you factor it normally.
x² + 10x - 200
= (x + 20)(x - 10)
Then, you divide the 2nd part in each parentheses with the coefficient you slipped in the beginning. This is super important! I always had trouble remembering this step, so hopefully you won't.
(x + 20/5)(x - 10/5)
= (x + 4)(x - 2)
I hope this helped!
Easy math true or false?
Answer:
True
Step-by-step explanation:
It is true because the solutions are x = -4, -3, and 3.
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
Answer:
True
Step-by-step explanation:
In the figure shown, triangle PQR is transformed to create triangle P'Q'R'.
Point S will be transformed the same way as triangle PQR. Which sentence could describe how point S will be transformed?
A) Point S will be translated to (6, 0) and then rotated to (0, 6).
B) Point S will be translated to (6, 0) and then rotated to (0, −6).
C) Point S will be translated to (4, 3) and then reflected to (−4, 3).
D) Point S will be translated to (4, 3) and then reflected to (4, −3)
Answer:
D) Point S will be translated to (4, 3) and then reflected to (4, −3)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the value of x and the length of segment DE?
1.5=
2x
9
+ 3
2. 10x + 15 = 9(9)
2x + 3
x=
Length of DE =
units
Intro
Done
Answer:
x = 6.6; DE = 16.6
Step-by-step explanation:
Assume the diagram is like the figure below.
1. Calculate the value of x
In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.
Thus, ∆CDF ~ ∆FDE, and
[tex]\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}[/tex]
2. Calculate the length of DE
DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2
Answer:
X= 6.6
DE= 16.2
Step-by-step explanation:
dan made $242 for 11 hours of woke. At the rate how many hours would he have to work to make $154
Answer:
14
Step-by-step explanation:
Answer:
The answer to your question is Dan worked 7 hours
Step-by-step explanation:
Data
Money made $242 / 11 h
Money made $154 / ?
Process 1
1.- Determine the money made in one hour using proportions and cross multiplication
$242------------------------ 11 h
x ------------------------ 1 h
x = (1 x 242)/11
x = $22
2.- Use proportions to determine the hours he work to made $154
$22 -------------------- 1 h
$154 -------------------- x
x = (154 x 1) / 22
x = 154/22
x = 7 hours
210 thousandths = __ tenths
How many tenths are in 210 thousandths
Answer:
21
Step-by-step explanation:
hundreds place is 2 tenths are 21 and ones is 210
Answer: 21
Step-by-step explanation: It's 21 because 21 times 10 equals 210.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or −6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Answer:
6
Step-by-step explanation:
The total of the two days adds up to 0. So define x as the score of the first day, and then have the equation x - 6 = 0.
Then solve,
x - 6 (+6) = 0 (+6)
x + 0 = 6
x = 6
2. On a blueprint for a new building, 2 inches = 8 feet. The height of the building on the
blueprint is 9 inches. What is the actual height of the building?
Step-by-step explanation:
By blue print conversion,
2 inches = 8 feet
Therefore, 1 inch = [tex]\frac{8}{2}[/tex] = 4 feet
1 inch = 4 feet
The height of the building on the blueprint = 9 inches
The actual height of the building = 9 * 4 = 36 feet.
Mr.Walden wrote the expression StartFraction p Superscript negative 5 Over q Superscript 0 EndFraction. He asked his students to write an equivalent expression of StartFraction p Superscript negative 5 Over q Superscript 0 EndFractionin simplified form.
Four students wrote these expressions.
Isaac
Rosa
Bruce
Brianna
StartFraction q Superscript 0 Over p Superscript negative 5 EndFraction
p Superscript negative 5 + q Superscript 0
p Superscript 5 Baseline q Superscript 0
StartFraction 1 Over p Superscript 5 Baseline q Superscript 0 EndFraction
Which student is correct?
Isaac
Rosa
Bruce
Brianna
Answer:
Brianna
Step-by-step explanation:
(p^-5)/q⁰
(p^-5)/1
1/p⁵
1/p⁵ × q⁰
Answer:
Brianna
Step-by-step explanation:
edge
A coin is tossed 12 times. What is the probability of getting heads exactly 7 times?
Answer:
Once the number of possible heads and tail in 12 tosses is [tex]2^{12} =4096[/tex]
[tex]\frac{12!}{\left(7!\right)\left(5!\right)}\\\\\frac{12\cdot \:11\cdot \:10\cdot \:9\cdot \:8}{5!}\\\\\frac{95040}{120}\\\\792[/tex]
So the probability of getting exactly 8 heads in 12 coin tosses is: [tex]\frac{792}{4096}[/tex]
Which name gives the most information about the shape below?
trapezoid
quadrilateral
rhombus
Answer:
trapezoid
Step-by-step explanation:
There is only one group of shapes that could be a trapezoid
A square, a rectangle, a rhombus, a trapezoid, a kite, and other 4-sided shapes fall under the category of quadrilateral
A rhombus, a parallelogram, and a square are all rhombuses
The image of ΔABC after a reflection across Line E G is ΔA'B'C'. 2 triangles are shown. A line of reflection is between the 2 triangles. Line segment B B prime has a midpoint at point E. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G. Which statement is true about point F? F is the midpoint of AA' because Line E G bisects AA'. F is the midpoint of EG because AA' bisects EG. F is the midpoint of AA' because AA' bisects EG. F is the midpoint of EG because Line E G bisects AA'.
Answer:
It's A - F is the midpoint of AA' because Line E G bisects AA'
Step-by-step explanation: :D
When a point bisects a line segment, it divides the line segment into two equal segments. The true statement about point F is that:
F is the midpoint of AA' because Line E G bisects AA'
I've added as an attachment, the diagram of triangles [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]
From the attached figure of [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex], we can see that line EF passes through line AA'.
Lines EF and AA' intersect at point F, where point F is the midpoint of line EF and line AA'.
Hence, F is the midpoint of line AA' because line EG is a bisector of line AA.
Read more about bisectors at:
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Arturo starts saving for college by opening a savings account and depositing $50. He plans to make a deposit every month to continue saving.
The amount of money in Arturo's savings account can be modeled by the sequence A0=50, An=An−1 + 25, where n is the number of months since his initial deposit.
What is the domain of the sequence An?
Answer:
The sequence is a function
Step-by-step explanation:
where n is the number of months since his initial deposits, and A₀=50
The sequence is a function because its domain is a set of natural numbers.
For example,
A₁=A₀+25 =75
A₂=A₁+25=100
A₃=A₂+25=125
A₄=A₃+25=150
The domain is 0, 1, 2, 3, 4, 5,.....
The set of all non-negative integers.
Given sequence is [tex]A_{0}=50, \ A_{n}=A_{n-1}+25[/tex]
Domain of this sequence is n = the number of months since the initial deposit.
The possible values of n = 0, 1, 2, 3, 4, 5,..... It means the set of all non-negative integers.
So it is the domain of the sequence.
Learn more: https://brainly.com/question/13437432
Two numbers differ by five. Three less than four times the smaller number minus three times the greater number is 11. Find the numbers.
Answer:
29, 34
Step-by-step explanation:
Let x and y be the two numbers
x = y + 5
(4y - 3) - 3x = 11
4y - 3x = 14
4y - 3(y + 5) = 14
4y - 3y - 15 = 14
y = 29
x = 29 + 5 = 34
What could describe Anita’s race from minute 3 to minute 5?
Answer:
b) She stopped to change a flat tire.
Step-by-step explanation:
I'm assuming the y-axis of the graph says distance.
Over time, Anita did not move at all which indicates that she stopped. There is nothing to do with speed in this question do you can take out answers a) and d). c) is pretty irrelevant because why would Anita continue riding her bike after if she already won. So the answer is b) She stopped to change a flat tire.
Hope this helped! :)
f(x)= x+6; g(x) = 8x - 10
Find f(g(x))
Answer:
f(g(x)) = 8x - 4
Step-by-step explanation:
f(g(x)) = g(x) + 6
= 8x - 10 + 6
= 8x - 4
Answer:
f(g(x)) = 8x - 4
Step-by-step explanation:
Substitute x = g(x) into f(x), that is
f(g(x))
= f(8x - 10)
= 8x - 10 + 6
= 8x - 4
Correct or Incorrect?
Ishaan thinks the distance between Island A and Island
Bis 7 miles.
Is he correct?
Why or why not
Yes
No
HURRY PLEASE
The amount of money spent at West Outlet Mall in Midtown continues to increase. The total T(x) in millions of dollars can be
estimated by the function 7(x) - 12(1.12), where x is the number of years after it opened in 1995. Graph and find the y-intercept.
a. 1.12
b. 12
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit
Answer:
12
Step-by-step explanation:
The y-intercept is when x=0.
In this equation, that would mean T(0)=12(1.12)^0=12(1)=12.
Hope this helped <3
Answer:
12
Step-by-step explanation:
Which expression is the result of factoring the expression below by taking out its greatest common factor? 16x^2-8x
Answer:
8x(2x-1)
Step-by-step explanation:
I just got this right hope it finds you well.
Is (3,8) a solution of the system?
Answer:
no
Step-by-step explanation:
8= -5(3)+1 is not a true statement because it equals -14 not 8
Answer:
False
Step-by-step explanation:
Substitute the point into each equation and see if it gives a true statement
y = -5x+1
8 = -5(3) +1
8 = -15+1
8 = -14
False so this is not a solution
We do not need to check the second equation since the first is false
Simplify 15 – 3(6 – 4).
Question 11 options:
A)
9
B)
24
C)
68
D)
3
Answer:
A) 9
Step-by-step explanation:
15 - 3(6 - 4)
= 15 - 3(2)
= 15 - 3 x 2
= 15 - 6
= 9
The given expression is equivalent to 9 The correct answer is option A) 9.
To simplify 15 - 3(6 - 4), we follow the order of operations (PEMDAS/BODMAS):
Step 1: Start with the innermost parentheses (6 - 4):
15 - 3(2)
Step 2: Next, perform the multiplication:
15 - 6
Step 3: Finally, do the subtraction:
9
The correct answer is option A) 9. The explanation shows how we first evaluate the expression inside the parentheses (6 - 4), then perform the multiplication (3 times 2), and finally subtract the result (6) from the initial value (15) to get the final answer of 9.
Learn more about expression here
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The newest iPad costs $850 and has a sales tax of 11%. What will be the total cost?
Answer:
$943.5
Step-by-step explanation:
Tax: 11% of 850
11/100 × 850 = 93.5
Total cost = 850 +93.5
= 943.5
A total is $943.50.
To calculate the total cost of the newest iPad including the sales tax, we need to add the tax to the initial price of the product. The iPad costs $850, and the sales tax rate is 11%. To find the tax amount, convert the percentage to a decimal by dividing by 100, which gives us 0.11, and then multiply this by the cost of the iPad.
Sales Tax = iPad Cost x Tax Rate
Sales Tax = $850 x 0.11
Sales Tax = $93.50
Now, to find the total cost, add the initial iPad cost to the sales tax:
Total Cost = iPad Cost + Sales Tax
Total Cost = $850 + $93.50
Total Cost = $943.50
What is the value of y? NU=9, NM= 3, MT= 6, TN= y
Answer:
6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
We have to use Pythagoras' identity twice to find y
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
In right triangle MUT to find TU
TU² + 3² = 6², that is
TU² + 9 = 36 ( subtract 9 from both sides )
TU = 27 ( take the square root of both sides )
TU = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = 3[tex]\sqrt{3}[/tex]
In right triangle NUT to find y
y² = 9² + (3[tex]\sqrt{3}[/tex] )² = 81 + 27 = 108 ( take the square root of both sides )
y = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = 6[tex]\sqrt{3}[/tex]
The expression 11(1.022)^t11(1.022)
models the per capita gross domestic product (GDP) of the US, in thousands of dollars, as a function of the number of years since 195019501950.
What does 1.022 represent in this equation
Answer: growth factor = 1.022
Step-by-step explanation:
The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%
What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US
Answer:
The per capita GDP in the US is multiplied by approximately 1.0221.0221, point, 022 each year.
Step-by-step explanation:
Why she is right Explanation ??? please help me
Answer:
y = - 5
Step-by-step explanation:
[tex] log_{2}( \frac{1}{32} ) = y \\ \\ log_{2}( \frac{1}{ {2}^{5} } ) = y \\ \\ log_{2}( {2}^{ - 5} ) = y \\ \\ {2}^{ - 5} = {2}^{y} \\ \\ - 5 = y \\ \\ \huge \red{ \boxed{y = - 5}}[/tex]
The measure of angle W is 100°, and the measure of angle Z is 68°.
A triangle has angles X, Y, Z. The exterior angle to angle X is W.
What is the measure of angle Y?
Answer:
32 degrees
Step-by-step explanation:
The interior and exterior of X must equal 180 degrees.
X + W = 180
Plug in 100 for W and subtract it from both sides.
180 - 100 = X = 80 degrees.
The total of the internal angles of a triangle are 180 degrees.
80 + 68 + Y = 180
Solve for Y: Y = 180 - 68 - 80 = 32 degrees.
Identify the equation of the translated graph in general form ** + y^ = 7 for T(-8.4)
a. x2 + y2 + 16x - 8y + 73 = 0
c. x2 + y2 + 16x + 8y + 73 = 0
b. x2 + y2 + 8x - 4y - 73 = 0
d. x2 + y2 + 8x + 4y + 73 = 0
Please select the best answer from the choices provided
Answer: A) x2+y2+16x-8y+73=0
Step-by-step explanation:
I got it right on edge.
The generic version of the circle equation is, x² + y² + 16x - 8y + 73 = 0.
Definition of circle:
A circle is a closed two-dimensional object in which all points in the plane are equidistant from a single point known as the "centre." The line of reflection symmetry is formed by every line that travels through the circle. For any angle, it also exhibits rotational symmetry around the center.
Step-by-step:Step 1:
The conventional form of the circle equation is expressed as:
(x - a)² + (y - b)² = r²
where centers are specified as (a,b)
The circle equation given in the question is:
x² + y² = 7
If the circle is translated T(-8,4), the center of the translated circle is located at (-8,4).
As a result, the conventional version of the circle equation is:
(x + 8) ² + (y - 4) ² = 7
Step 2:
Simplifying the problem:
(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7
x² + 64 + 16x + y² + 16 - 8y = 7
x² + y² + 16x - 8y + 80 = 7
x² + y² + 16x - 8y + 80 - 7 = 0
x² + y² + 16x - 8y + 73 = 0
which is the generic version of the circle equation.
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HELP I WILL MARK YOU BRAINLEST!!
A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $70,000 and $80,000?
Answer:
0.19706
Step-by-step explanation:
-Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
[tex]P(70000<X<80000)=P(\frac{X_1-\mu}{\sigma}<z<\frac{X_2-\mu})\\\\=P(\frac{70000-65000}{6000}<z<\frac{80000-65000}{6000})\\\\=P(0.8333<z<2.5)\\\\\\=0.99379-0.79673\\\\=0.19706[/tex]
Hence,the probability that an employee makes between $70,000 and $80,000 is 0.19706
Final answer:
To find the probability that an employee makes between $70,000 and $80,000, we calculate the z-scores and use the z-table. The probability is 0.1971.
Explanation:
To find the probability that an employee makes between $70,000 and $80,000, we need to calculate the z-scores and use the z-table.
First, we calculate the z-score for $70,000:
z = (X - μ) / σ
z = (70000 - 65000) / 6000 = 0.8333
Next, we calculate the z-score for $80,000:
z = (80000 - 65000) / 6000 = 2.5
Using the z-table, we can find the probabilities associated with these z-scores. The probability of an employee making less than $70,000 is 0.7967, and the probability of an employee making less than $80,000 is 0.9938. Therefore, the probability of an employee making between $70,000 and $80,000 is:
P(70000 < X < 80000) = P(X < 80000) - P(X < 70000) = 0.9938 - 0.7967 = 0.1971