To graph y = |x+2|, consider the parent function y = |x| and translate it 2 units to the left. Choose x-values, find the corresponding y-values, and plot the points. Connect the plotted points to obtain the graph of y = |x+2|.
Explanation:To graph the equation y = |x+2|, we will first consider the parent function y = |x|, which is a V-shaped graph that passes through the origin. Translating the graph y = |x| to the left by 2 units gives us y = |x+2|.
To plot the graph, we can choose various x-values and find the corresponding y-values. For example, when x = -4, y = |(-4)+2| = 2. Similarly, when x = -2, y = |(-2)+2| = 0. We can continue this process to find more points and then plot them on a coordinate plane.
By connecting the plotted points, we will obtain the graph of y = |x+2| which will be a V-shaped graph shifted 2 units to the left.
Tate and Black cut a pizza into 8 equal slices. Tate eats 3 slices and Black eats 4 slices. Write a fraction to represent the amount of pizza the boys ate.
7/8 because there are 8 pieces of pizza and they eat 7 slices of pizza.
2. MONEY Hans opens a savings account by depositing
$1200. The account earns 3 percent interest
compounded weekly. How much will be in the
account in 10 years if he makes no more deposits?
Assume that there are exactly 52 weeks in a year and
round your answer to the nearest cent.
Using the formula for compound interest, the total amount in the account after 10 years, with no further deposits and 3 percent interest compounded weekly, is approximately $1615.65.
Explanation:This problem involves the concept of compound interest, specifically interest compounded weekly. To calculate the total amount in the account after 10 years, the formula for compound interest is used, which is A = P(1 + r/n)^(nt).
In this case, P, the principal amount, is $1200. The annual interest rate, r, is 3% or 0.03 when converted into decimal form. The number of times interest is compounded per year, n, is 52 weeks since interest is compounded weekly. Lastly, t stands for the number of years the money is invested or borrowed for, which is 10 in this instance. Plug these values into the formula to get the total amount after 10 years.
A = 1200(1 + 0.03/52)^(52*10) = $1615.65
So, if Hans makes no further deposits and the account earns 3 percent interest compounded weekly, the amount in the account after 10 years will be approximately $1615.65.
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Write the relation as a set of ordered pairs
WILL MARK BRANLIEST!! PLEASE HELP!!
The answer is To this problem is the answer choice A
Answer:
So the correct option is option a.
Step-by-step explanation:
An ordered pair is written in the following form: (x, y). It means, first the independent variable and secondly the dependent variable.
In the diagram, the first circle represents the independent variable, and the second circle represents the dependent variable.
Then, the set of ordered pairs is:
(0, 2) ; (2, 6) ; (4, 10).
So the correct option is option a.
What is the equation of the line that passes through (4,-1) and (-2,3)
Answer:
2x+3y-5=0
Step-by-step explanation:
We have been given two points (4,-1) and (-2,3). Now we need to find about
what is the equation of the line that passes through (4,-1) and (-2,3).
Slope of the line through the points (4,-1) and (-2,3) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-\left(-1\right)}{-2-4}=\frac{3+1}{-6}=\frac{4}{-6}=-\frac{2}{3}[/tex]
Now plug the slope [tex]m=-\frac{2}{3}[/tex] and point (4,-1) into point slope formula
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y--1=-\frac{2}{3}\left(x-4\right)[/tex]
[tex]y=-\frac{2}{3}x+\frac{5}{3}[/tex]
or we can rewrite that as 2x+3y-5=0
Hence final answer is 2x+3y-5=0
The answer is:
The second option
[tex]2x+3y-5=0[/tex]
Why?To know which is the equation of the line, we need to follow the next steps:
Find the slope of the line:
We are given the points:
[tex](-2,3)\\(4,1)[/tex]
Where,
[tex]x_1=4\\y_1=-1\\x_2=-2\\y_2=3[/tex]
Also, we know that we can calculate the slope of a function using the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Now, using the slope formula, and substituting the given points, we have:
[tex]m=\frac{3-(-1)}{-2-4}[/tex]
[tex]m=\frac{4}{-6}[/tex]
[tex]m=-\frac{2}{3}[/tex]
Find the "b" value:
In order to find "b" we need to substitute any of the given points, we know that line pass through both of the given points, so, substituting the point (4,-1), we have:
Writing the slope form of the function,
[tex]y=mx+b[/tex]
[tex]y=-\frac{2}{3}x+b[/tex]
[tex]-1=-\frac{2}{3}*(4)+b\\\\b=-1+\frac{2}{3}*(4)=-1+\frac{8}{3}=\frac{-3+8}{3}=\frac{5}{3}[/tex]
Now that we know the slope and "b", we can write the equation of the line in slope-intercept form:
Writing the equation of the equation, we have:
[tex]y=-\frac{2}{3}x+\frac{5}{3}[/tex]
Then, by multiplying each side of the equation by 3 in order to simplify the fractions, we have:
[tex]3y=(3)*(-\frac{2}{3}x)+(3)*(\frac{5}{3})[/tex]
[tex]3y=-2x+5[/tex]
Rewriting the equation, we have:
[tex]2x+3y-5=0[/tex]
Hence, we have that the correct option is the second option, the equation of the line that passes through the given points is:
[tex]2x+3y-5=0[/tex]
Have a nice day!
20. Which of the following is the correct first step to solve 5x2 – 20x = -15 by completing the square?
O Divide all terms by 5.
O Divide all terms by -5.
Add 15 to both sides.
Add 100 to both sides.
5%
DESCRIPTION
20 of
W
DOLL
Answer:
add 15
Step-by-step explanation:
i think im not super sure
what is the domain of the function Y= square root 2x+10 explain and show work ) A. X≥5 B. Y≥5 C. X≥-5 D. Y≤-5
Solution: x ≥ -5
StepsDomain Definition: The domain of a function is the set of input or argument values for which the function is real and defined
squareroot 2x + 10 ⇒ 2x + 10 ≥ 0
Solve 2x + 10 ≥ 0:
Subtract 10 from both sides
2x + 10 - 10 ≥ 0 - 10
Simplify
2x ≥ -10
Divide both sides by 2
2x / 2 ≥ -10 / 2
Simplify
2x / 2
Divide the numbers: 2 / 2 = 1
= x
Note: x has the same value as 1
Divide the numbers: -10 / 2 = -5
= -5
The function domain is
x ≥ -5
Answer:
[tex]\boxed{\text{C. }x \geq -5}}[/tex]
Step-by-step explanation:
The domain is the set of all possible x-values that will make the function work.
The definition automatically eliminate options B and D.
Your function is
[tex]y = \sqrt{2x + 10}[/tex]
The number under the radical cannot be negative, because the square root of a negative number is imaginary.
Thus, we must have
[tex]\begin{array}{rcr}2x+ 10 & \geq & 0\\2x & \geq & -10\\x & \geq & -5\\\end{array}\\\\\text{The domain is }\boxed{\mathbf{x \geq -5}}[/tex]
The graph of your function shows that the range is x ≥ -5.
Find the slope and the y-intercept of the line Y= 7X -6
Answer:
Slope: 7
y-intercept:-6
Step-by-step explanation:
The equation of the line in Slope-intercept form is the following:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
You have the equation of the given line:
[tex]y=7x-6[/tex]
You can observe that it is written in Slope-intercept form, therefore, you can identify that the slope and the y-intercept are the following:
[tex]m=7\\b=-6[/tex]
A. The slope is 7.
B. The line rises steeply right 7 units for every 1 unit increase in x.
Here's how to find the slope and y-intercept directly from the equation:
Understanding the Slope-Intercept Form:
The equation of a line can be written in *slope-intercept form* as `y = mx + b`, where:
`m` represents the slope of the line.
`b` represents the y-intercept, which is the point where the line crosses the y-axis.
Identifying Slope and Y-Intercept:
In the given equation, `y = 7x - 6`, we can directly identify the values:
The slope `m` is the coefficient of `x`, which is 7.
The y-intercept `b` is the constant term, which is -6.
Interpreting the Slope:
A slope of 7 indicates that for every 1 unit increase in `x`, the `y` value increases by 7 units. This means the line rises steeply from left to right.
Question:
Find the slope and y-intercept of the line whose equation is y= 7x-6.
What is the slope? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is ______ (Type an integer or a fraction.)
B. The slope is undefined.
PLS HELP I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Here we are going to use the rule which says that
i) equal arc segments subtends equal angles at the circle
ii) The Angle subtended by any arc segment at center is double to that of the angle subtended by the same arc at its circumference.
For more details please refer to the image attached to this problem.
Let us say that the angle subtended by arc mAB at center O = 6∅
Hence , ∠AOB=6∅
Hence ∠ADB = 3∅ ( Rule ii as discussed above )
Also as length of arc mCD = x , the angle subtended by it on the center will be in the same ratio as it was subtended by arc with length 6x
Hence
∠COD=∅
Hence
∠CAD=∅/2
Hence in ΔATD
∠ATD + ∠ADT +∠DAT = 180°
∠ATD + 3∅+∅/2= 180°
∠ATD = 180° - (3∅+∅/2) ----------(A)
Also
∠ATD + ∠ATB = 180°
From (A)
180° - (3∅+∅/2) +∠ATB = 180°
∠ATB = (3∅+∅/2)
∠ATB = (6∅+∅)/2
∠ATB = (7∅)/2
However , in order to find the exact value of∠ATB we need to evaluate ∅, and to find it , we must have some value of x .
3 (3+x)+4 (x-6)=-4 what is x
Answer:
x is 38
Step-by-step explanation:
x=1.5
the full answer is in the photo
If f(x) = 8 -3 and g(x) = 3x2 + x-6, find (f + g)(x).
Answer:
D
Step-by-step explanation:
(f+g)(x) basically means to "ADD" f(x) and g(x).
We have
[tex]f(x)=\frac{x}{2}-3[/tex]
and
[tex]g(x)=3x^2+x-6[/tex]
Now we simply add these two, adding like terms as shown below (and simplify):
[tex](f+g)(x)=f(x)+g(x)\\=(\frac{x}{2}-3)+(3x^2+x-6)\\=3x^2+\frac{1}{2}x+x-3-6\\=3x^2+\frac{3}{2}x-9[/tex]
Correct answer is D
if you have 17 bananas but someone steals them and now you have 7 how many did he take without using subtraction and division
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
17-7=10
Answer: 10
im not exactly sure what this question means but all you have to do is look at the number and u can see that is the answer. im not sure if your trying to do common sense or not but thats the answer?
Please help ..will mark Brainliest ..please help
Answer:
the answer is 1,648
SA= 2 (lw +lh + wh)
SA = 2 (384 + 120 + 320)
SA = 2 (824)
SA = 1,648 sq. cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
NEED HELP ASAP PLEASE!!!!!
What additional information is needed to prove the triangles are congruent by HL?
A.)
B.) m
C.) BD~AC
D.) AC~EC
Answer:
D
Step-by-step explanation:
sice the above mentioned congurency test is based on rhs axiom hence D is answer
The dot plots below show the test scores of sixth and seventh grade students
Based on visual inspection of the dot plots witch grade if any appears to have the higher mean score
A. Grade 6
B. Grade 7
C. Both groups show about the same mean score
D. No conclusion about mean score can be made from the data
I believe it would be (A)
A mean is an arithmetic average of a set of observations. The higher mean score out of two grades will be of grade 6.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]
The mean of the 6th grade will be,
[tex]\rm Mean_1 = \dfrac{(70 \times 6)+(80 \times 4)+(90 \times 6)+(100 \times 4)}{20} = \dfrac{1680}{20} = 84[/tex]
The mean of the 7th grade will be,
[tex]\rm Mean_2 = \dfrac{(50 \times 5)+(60 \times 7)+(70 \times 4)+(80 \times 4)}{20} = \dfrac{1270}{20} = 63.5[/tex]
Hence, the higher mean score out of two grades will be of grade 6.
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suppose Paola uses 18 tablespoons of iced tea mix. How many cups of water does she need to use?
The required Paola needs to use 18 cups of water.
To determine the number of cups of water Paola needs to use, we need to know the ratio of water to iced tea mix. Typically, a common ratio for making iced tea is 1 tablespoon of iced tea mix per 1 cup of water.
A ratio is a comparison of two quantities or values, typically expressed in the form of a fraction or with a colon (:). It shows the relative sizes or amounts of two or more things in relation to each other.
Given that Paola uses 18 tablespoons of iced tea mix, she would need an equal amount of cups of water.
Therefore, Paola needs to use 18 cups of water.
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Rose’s Ringlets, a national hair salon, pays the following in employee benefits each pay period: $700 for health care, 10% of gross wages for retirement income and 1.5% of gross wages for retiree health care. What will Rose’s Ringlets pay in employee benefits for Nancy who has a gross wage of $5,200 for the pay period?
A
$ 598
B
$ 700
C
$ 1,220
D
$ 1,298
Answer:
D $1298
Step-by-step explanation:
10% of 5200 is 520
1% is 52
0.5% is 26
700+520+52+26 = 1298
Idek what im doing
help please
Answer:
180 -88 = 92 degrees
Step-by-step explanation:
Find the area of a trapezoid, in which b1=13cm, b2=16cm, and h=3cm.
Answer:
b 43.5 cm^2
Step-by-step explanation:
The area of a trapezoid is found by using the formula
A = 1/2 (b1+b2) h
where b1 and b2 are the lengths of the bases
A = 1/2(13 +16) *3
A = 1/2 (29)*3
A = 43.5 cm^2
Mercedes is going to have her car fixed. Cairo Prince Auto Tech charges $45 for an estimate plus $24 per additional hour of work. Tarantino’s Ca Garage offers a free estimate and it changes $30 per additional hour of work. Which of the following statement are true? Select all that apply.
Answer:
Answers May Vary
Step-by-step explanation:
Typically, Taratino's Car Garage will be the least expesive. The following equations for both auto shops:
Taratino's y=$30x
Cairo's y=$45+$24x
For x, that represents the total hours and y is total dollars
If m< 1 = 10x + 4 and m <2 = 5x-4, find m< 2
Answer:
m<2 = 56°
Step-by-step explanation:
m<1 and m<2 are supplementary angles and sum = 180
so
m<1 + m< 2 = 180
If m< 1 = 10x + 4 and m <2 = 5x-4, find m< 2
10x + 4 + 5x - 4 = 180
15x = 180
x = 12
m<2 = 5(12) -4 = 56
Answer
m<2 = 56°
Answer: 56°
Step-by-step explanation:
Matilda measures the perimeter of her bedroom to determine how many feet of border she needs to go around the tops of the walls. Two walls are each 96 inches long, and two walls are each 3 yards long. She pays $30 for border that costs $1 per foot. What are steps that you should take to determine if Matilda bought the correct amount of border? Select all that apply.
Answer:
She did not buy enough border. She needs 34 ft not 30.
Step-by-step explanation:
Find the perimeter of her room in feet:
12 inches in a foot
96/12=8
3 feet in a yard
3(3)=9
8 ft + 8 ft + 9 ft + 9 ft = 34 ft
She bought 30 ft of border, which is not enough because she needs 34 ft
The given border of 30 feet is not enough.
What is Perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
Given:
Two walls are each 96 inches long, and two walls are each 3 yards long.
She pays $30 for border that costs $1 per foot.
First step is to convert inches to feet
1 inch = 1/12 feet
96 / 12 = 8 feet
and, 1 yard = 3 feet
3 x 3 = 9 feet
Now, the perimeter of the room
= 9 + 9 + 8 + 8
= 34 inches
The feet of border bought
= $30 / $1
= 30
So, 34 > 30 thus the border is not enough
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an expression is shown. 5x=32 what is the value of x that makes the equation true.
Answer:
6.4
Step-by-step explanation:
5x = 32
Divide both sides by 5.
5x/5 = 32/5
x = 6.4
Divide by 5 on both sides.
5x divided by 5 leaves x alone.
32 divided by 5 is 6.4.
6.4 • 5 = 32
X = 6.4
Hope this helps!
what is 25^3k=625 using solving exponential equations will give brainly
Answer:
k= 2/3 2 over 3.
or 0.60%
Step-by-step explanation:
Answer:
0.04 or 1/25
Step-by-step explanation:
Note that 25^3 = 15625.
Then 15625k = 625.
Solve for k using division:
k = 625 / 15625 = 0.04
Note that we could also do the problem in this manner:
25 = 5^2
625 = 5^4
Therefore, 5^4 * k = 5^2
Dividing both sides by 5^4, we get:
5^2 1
k = ------------ = 5^(2-4) = 5^(-2) or ---------- = 1/25 = 0.04 (same as before)
5^4 5^2
Hi uwu pls help me with math i don't understand :'(
c.) How many applications will your mother actually use on her new cell phone? Solve the equation you wrote in part b to find the unknown variable.
((part B is right here, but no need to answer it K: Your mother has a new cell phone. It comes with 18 applications already installed. She uses only "2" /"3" of those applications. She downloaded an additional 12 applications that she uses regularly. Write an equation to represent the total number of applications your mom uses. Explain your equation and your reasoning. answer for part B: 24 applications are what your mom regularly uses. ))
Answer:
It's 24
Step-by-step explanation:
18 apps already installed
2/3 of 18 is 12
12+12=24
24 applications have been installed.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Given
18 apps already installed
2/3 of 18 = 12 are used
Additional 12 apps installed
Total = 12+12=24
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ANSWER QUICKLY PLEASE ITS URGENT
Solve the equation for the unknown variable.
X^3 = -125
Answer:
The answer to this is -5
Step-by-step explanation:
To do this, just do -125 to the 1/3 power. This is because you need to do the reverse of the order of operations.
Graph the image of this triangle after a dilation with a scale factor of 1/2 centered at (-5,1)
Answer:
Red triangle on the diagram
Step-by-step explanation:
The center of dilation is point D(-5,1). The scale factor is 1/2. This means that all distances need to be halved.
If triangle ABC has vertices A(-1,7), B(7,9) and C(3,1), then the image triangle has vertices at points E(-3,4), G(1,5) and F(-1,1).
Points E, G and F are midpoints of the segments DA, DB and DC (see attached diagram for details).
Help don’t understand
Answer:
2 first blank and left second blank
Step-by-step explanation:
Your translation is off. You are going to reflect it across the x-axis so you just need your points of your pre-image and image to be lined up.
To do that you will shift your pre-image 2 units left.
You need to get rid of that negative sign on 2 and after the word unit(s) put left.
So actually you did marvelous.
What percent of the total budget is the car (to the nearest tenth)
16.0
16.2
16.8
17.2
Answer: first option
Step-by-step explanation:
You can observe in the figure that the total budget is $1,695.00 and the car is $272.00
Then, you know that the total budget represents the 100%, then, to calculate what percent of the total budget the car is, you need to divide $272.00 by $1,695.00 and multiply this by 100:
[tex]\%car=\frac{ \$272.00}{ \$1,695.00}*100\\\\\%car=16.04\%[/tex]
Rounded to the nearest tenth:
[tex]\%car=16.0\%[/tex]
Answer:
16%
Step-by-step explanation:
We have been given a table for the budget of June month.
Using that table we need to calculate about what percent of the total budget is the car. Then round the answer to the nearest tenth.
From table we see that budget for the car = $272
From table we see that total budget for June month = $1695
then required percent is given by formula :
[tex]percent=\frac{part}{whole}\cdot 100\%[/tex]
[tex]percent=\frac{272}{1695}\cdot 100\%[/tex]
[tex]percent=\frac{27200}{1695} \%[/tex]
[tex]percent=16.0471976401 \%[/tex]
Which is approx 16%.
Explain one way to verify that the corresponding angles of the two triangles are congruent.
A) Use the slope formula to prove that the slopes of corresponding sides are opposite reciprocals. Therefore, the corresponding angles of the triangles are congruent.
B) Use the distance formula to prove that two corresponding sides of the triangles have the same lengths. Therefore, corresponding angles of the triangles are congruent by CPCTC.
C) Use the distance formula to prove that all corresponding sides of the triangles have the same lengths. Therefore, the two triangles are congruent by SSS. Then, corresponding angles of the triangles are congruent by CPCTC.
D) Use the distance formula to prove that two corresponding sides of the triangles have the same lengths. Therefore, the two triangles are congruent by SAS. Then, all corresponding angles of the triangles are congruent by CPCTC.
Answer:
C.Use the distance formula to prove that all corresponding sides of the triangles have same lengths.Therefore, the two triangles are congruent by SSS.Then , corresponding angles of the triangles are congruent by CPCTC.
Step-by-step explanation:
We have to explain one way through which we can verify that the corresponding angles of the two triangles are congruent.
A. Use the slope formula to prove that the slopes of corresponding sides are opposite reciprocals . Therefore, the corresponding angles of the triangles are congruent.
In this option we are given that by slopes formula the slopes of corresponding sides are opposite reciprocals .It means sides are perpendicular but not give any information about congruency of two triangles through which we can say corresponding angles of two triangles are congruent.Hence, it is false.
B.Use the distance formula to prove that two corresponding sides of the triangles have same lengths. Therefore, corresponding angles of the triangles are congruent by CPCTC.
In this option we are given information about only two corresponding sides of two triangles . It is not sufficient to prove that corresponding angles of two triangles are congruent.Hence, it is false.
C.Use the distance formula to prove that all corresponding sides of the triangles have same lengths.Therefore,the two triangles are congruent by SSS. Then, corresponding angles of the triangles are congruent by CPCTC.
In this option we have complete information through which we can verify that corresponding angles of two triangles are congruent.Hence, it is correct.
D.Use the distance formula to prove that two corresponding sides of the triangles have same lengths.Therefore, the two triangles are congruent by SAS.Then, all corresponding angles of the triangles are congruent.
In this option we have no complete information through which we can two triangles are congruent by SAS. Therefore, In this option explaination are not given properly.Hence , it is false.
can someone explain me how do i do (ii)?
Answer:
(only ii right?)
Since we have the total number is 360° and our section is 72°, we know that the percentage of students who choose the cinema should be the number that we have divided to the total amount and then multiply the result by 100 ( it's fine if you write 100%, but when you actually calculate it, it's only 100, not 100%):
(72/360) . 100 = 20%