Answers
The absolute value functions graphed are given as follows:
1. y = |x + 1|.
3. y = |x + 1| - 4.
4. y = 0.5(|x - 1| + 1)
How to define an absolute value function?An absolute value function of vertex (h,k) is defined by the following rule:
y = |x - h| + k.
For item 1, the vertex of the function is at point (-1,0), hence h = -1 and k = 0, and the rule is:
y = |x + 1|.
For item 3, the vertex of the function is at point (-1, -4), hence the coefficients are h = -1 and k = -4, and the rule is:
y = |x + 1| - 4.
For item 4, the vertex of the function is at point (1,1), and the function is also vertically compressed by a factor of 0.5, as when x changes by 2, y changes by 1, hence the rule is:
y = 0.5(|x - 1| + 1)
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Related Questions
Given the inequality 6x ≤ 18, determine the value of x.
S:{26}
S:{14}
S:{7}
S:{3}
Answers
To find the answer divide 6 by 6 and 18 by 6
The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.
The correct answer is S:3.
To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.
Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.
Here is the solution in steps:
6x ≤ 18
6x/6 ≤ 18/6 (divide both sides by 6)
x ≤ 3
Therefore, the value of x is 3.
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FH is tangent to circle E at point F.
What is the measure of ZEFH?
80°
90°
160°
• 180°
Answers
Answer:
90°
Step-by-step explanation:
the angle between a tangent and the radius at the point of contact on the circle is a right angle, then
∠ EFH = 90°
Determine whether each function is linear or nonlinear. y-t=n 12 11 13x+
Answers
The function y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.
What is linear equation?A first-degree polynomial is a statement that a constant is equal to a first-degree polynomial, or the sum of a group of terms that are each the product of a constant and the first power of a variable.
The formula for a linear equation with n variables is a0 + a1x1 +... + anxn = c, where x1,..., and xn are variables, the coefficients a0,..., and an are constants, and c is a constant.
When there are multiple variables, the equation might be linear for some of the variables but not for others. The equation x + y = 3 is therefore linear in both x and y, as opposed to x + y2 = 0, which is linear in x but not in y.
We have been asked to find if the equation y-t = n(12 - 11 + 13x) is linear or nonlinear.
W know that a equation is linear if its in the y-intercept form
y = mx + b
Lets simplify the equation and we get
y-t = n(12 - 11 + 13x)
y - t = 12n - 11n + 13nx
y = n + 13nx + t
y = 13nx + (t + n)
This equation is in y-intercept form where
y = y
m = 13n
x = x
b = (t + n)
Thus, The function y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.
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Find the slope of the line through each pair of points (2,1),(6,6)
Answers
The slope of the line passing through the points (2, 1) and (6, 6) will be;
⇒ m = 5 / 4
What is Equation of line?
The equation of line with slope m and passes through the point
(x₁, y₁) is;
⇒ y - y₁ = m (x - x₁).
Given that;
The points on the line are (2, 1) and (6, 6).
Now,
Since, The slope of the line passing through the two points (x₁, y₁) and (x₂, y₂) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, The slope of the line passing through the points (2, 1) and (6, 6) will be calculated as;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (6 - 1) / (6 - 2)
⇒ m = 5 / 4
Therefore, The slope of the line passing through the points (2, 1) and
(6, 6) will be;
⇒ m = 5 / 4
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determine the number of solutions for:
10x-2y=-16
-5x=8-y
hurry
Answers
The equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
10x - 2y = -16
-5x = 8 - y
Or
-5x + y = 8
10/(-5) = -2/1 = -16/8
-2 = -2 = -2
The equations are the same which means the lines are coincident.
There will be infinitely many solutions.
Thus, the equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.
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32” TV height: 16” width: _____
Answers
Answer: the answer is 20"
Step-by-step explanation:
The size of a cell is typically found by capturing an image under a microscope then
using software to measure its diameter. Two cells are measured using this method:
Cell H: 3.52 x 10-3 centimeters
Cell K: 9.1 x 10-4 centimeters
How many times larger is the diameter of cell H than the diameter of cell K? Write
your answer in standard notation, rounding to the nearest tenth.
Answers
The diametric size of cell H is 3.86 times larger the diametric size of cell K.
How is a ratio determined?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. A ratio is a comparison or condensed version of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.
Given, the diametric size of cell H, say y = 3.52×10⁻³ cm
The diametric size of cell K, say x = 9.1×10⁻⁴ cm = 0.91×10⁻³ cm
The ratio of the diametric size of H to K, y/x = 3.52×10⁻³/0.91×10⁻³ = 3.86
Thus, y = 3.86x, the diametric size of cell H is 3.86 times the diametric size of cell K.
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use the properties of logarithms to expand the following expression as much as possible.
Answers
1. Factor the expression in parenthesis:
[tex]\begin{gathered} 2x^2+8x+8 \\ \\ =2(x^2+4x+4) \\ =2(x+2)\placeholder{⬚}^2 \end{gathered}[/tex]2. Rewrite the expression using the factors above:
[tex]\log_2(2(x+2)\placeholder{⬚}^2)[/tex]3. Use the next properties to expand the expression:
[tex]\begin{gathered} \log_a(x*y)=\log_ax+\log_ay \\ \log_aa=\frac{\log_a}{\log_a}=1 \\ \log_a(b^c)=c*\log_ab \end{gathered}[/tex][tex]\begin{gathered} \log_2(2(x+2)\placeholder{⬚}^2) \\ =\log_22+\log_2((x+2)\placeholder{⬚}^2) \\ =1+2\log_2(x+2) \end{gathered}[/tex]Then, the given expression is equal to:[tex]\log_2(2x^2+8x+8)=1+2\log_2(x+2)[/tex]WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZYX has a measure of 34 degrees. Find the measure of angle ZWY.
Answers
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = 4 \end{cases}\implies S=180(4-2)\implies S=360[/tex]
Check the picture below.
if x=5 work out the value of 2x squared
Answers
2(25)=50
x = 50
2x^2 can be modeled as:
2((x)(x))
2((5)(5))
2(25)
50
Determine the area of the shaded region of the figure. 5 cm 9 cm 12 cm 6 cm 4 cm
Answers
a layer of dirt must be spread over a circular area 3 feet in diameter. how deep a layer will be obtained using 45 cubic feet of dirt?
Answers
By solving a linear equation, we can see that the deep of the layer will be 6.37 ft.
How deep will be the layer?For a cylinder of radius R and deep D, the volume is:
V = pi*R^2*D
Where pi = 3.14
In this case, we know that the diameter is 3 ft, so the radius is:
R = 3ft/2 = 1.5ft
And the volume of dirt used is 45 cubic feet, then the deep D must be a solution of the following linear equation:
45 ft^3 = 3.14*(1.5ft)^2*D
Solving this for D, we get:
(45 ft^3)/(3.14*(1.5ft)^2) = D
6.37 ft = D
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Mark has $14 to buy lunch for himself and his sister. He wants to buy at least 1 sandwich
and 1 drink. Sandwiches cost $5, and drinks cost $2. Write three inequalities to represent
the three constraints on the number of sandwiches and drinks Mark could buy.
Answers
Answer:7
Step-by-step explanation:5x3
5+x=7
2+5=x
Answer: hey could buy one of each and share with his sister
14-5=9
9-2=7
Here are the first 4 terms in the sequences
3,9,15,21
next term=27
explain how you got the answer
Answers
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. Given that each term has a common difference, this is an arithmetic sequence.
In this instance, the result is obtained by adding 6 6 to the prior term in the sequence.
What is the arithmetic progression formula?
a {n}=a {1}+(n-1) The nth term in the series is d a n.
The first term in the sequence is a 1.
d is the common distinction between the terms.
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Graph y= –3x+4 please and thank you
Answers
Answer:
Step-by-step explanation:
Hope this helps sorry if I'm not right
to go to sleep, oliver counted by $6$s starting from $15$. thus the first few numbers he named were $$15,21,27,33,\ldots~.$$the last number he named before he fell asleep was $363$. how many numbers did oliver name?
Answers
The numbers that Oliver named are 59 in total.
If he named 1 number, the last number that he called would be 15
If he named 2 numbers, still the last number that he called would be 15 + 6 = 21
If he named 3 numbers, the last number that he called would be 15 + 6 + 6 = 27
If he named 4 numbers, the last number that he called would be 15 + 6 + 6 + 6 which is 15 + 6(4 - 1)
So, if he named n numbers, the last number that he named would be 15 + 6(n - 1)
According to the data given in the question, the last number he called was 363.
So, we can say,
363 = 15 + 6(n - 1), Subtract 15 on both sides.
348 = 6(n - 1), Divide both sides with 6.
58 = n - 1, now, Add 1 to both sides,
we get.,
59 = n
Hence, Oliver has named 59 numbers.
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Answer:
59
Step-by-step explanation:
If we subtract 9 from each number Oliver named, we get the new list6, 12, 18, 24, ..., 354,which consists of the multiples of 6 from 1 ∙ 6 through 59 ∙ 6. There are clearly 59 of these, so Oliver named 59 numbers (namely: 1 ∙ 6 + 9, 2 ∙ 6 + 9, 3 ∙ 6 + 9, and so on through 59 ∙ 6 + 9).
Solve for the value of q
Answers
Answer:
180 - 90 = 90
5q + 5 + (4q - 5) = 90
9q = 90
q = 10
which statement best describes the association between the energy and light output of these light bulbs?
Answers
Answer: there is no apparent association between the energy and light output
According to the graph, it observed that at some points, as the energy increases the light out put also increases.
Also, as the energy increases the light out put also decreases
This made me conclude that, there is no apparent association between the energy and light output
Therefore, the best statement that describes the association between the energy and light output is statement J
PLEASE HURRY! 40 POINTS!
Charlize earns an annual mean gross pay of $87,655.00. What percent of her total salary will she have left over if her student loan payments are $325.00 per month for 144 months? Round to the nearest tenth. (1 point)
96.5%
95.6%
96.6%
95.7%
Answers
Charlize will be left over with 95.6% of her total salary if her student loan payments are $325.00 per month for 144 months .
in the question ,
it is given that
Total salary of Charlize = $87655 .
since the pay is annual the student loan payment will also be for 12 months.
amount Charlize pays per month as student loan = $325
So , the amount Charlize spent on loan payment = $325×12
= $3900
Amount left with Charlize after deduction = $87655 - $3900
= $ 83755
So the percent of amount left with Charlize after deduction
= (amount left)/(total salary) × 100
Substituting the values
we get
percent of amount left with Charlize after loan deduction =(83755/87655)*100
= 0.955507*100
= 95.5507
rounding off to the nearest tenth
≈ 95.6 %
Therefore , Charlize will be left over with 95.6% of her total salary if her student loan payments are $325.00 per month for 144 months .
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Linel is shown on the coordinate plane below.Which statement is true about Line I?The slope is less than 0 and the y-intercept is less than zero.The slope is greater than 0 and the y-intercept is less than zero.O The slope is greater than 0 and the y-intercept is greater than zero.O The slope is less than 0 and the y-intercept is greater than zero.
Answers
we know that
about the line P
1) the slope is positive, so is greater than zero
2) the y-intercept is negative
therefore
the answer is the second optionsolve each equation using an array 3542 x 8 =
Answers
The Solution:
We are required to Use the array strategy to multiply the numbers given below:
[tex]3542\times8[/tex]Therefore, the correct answer is 28,336
LESSON 3
Rotations
Instruction
-S
44
2. What image is the translation of the shown triangle given by the translation rule (x, y) → (x-
3, y + 3)?
op
Activity
-S
$
Review
x
Assessment
(1 point)
Answers
It means move the x three units to the right and the y three units up
A pizza can be shared by (y + 3) friends. If there are (y2 + 6y + 9) pizzas, which expression represents each friend’s share?and 2 + 6 and + 9y + 3y - 3(y + 3)(y - 3)
Answers
In order to find each friend's share, we need to divide the total amount of pizza by the number of friends.
The total pizza is y² + 6y + 9, and the number of friends is y + 3, so we have:
[tex]\frac{y^2+6y+9}{y+3}=\frac{(y+3)^2}{y+3}=y+3[/tex]Therefore the correct option is the second one: y + 3.
A mixture of juices in a punch had 1.1 L of pineapple juice for every 0.4 L of orange juice. Sarah wanted the punch to taste more orangey, so she added 0.3 L of orange juice but no pineapple juice. Now the ratio of juices was 1.1 L of pineapple juice for every 0.5 L of orange juice. How many litres of punch did Sarah have now
Answers
The litres of punch with Sarah is 4.8 L.
The mixture of juices in the punch had 1.1 L of pineapple juice for every 0.4 L of orange juice.
The ratio of the amount of pineapple juice to the orange juice is 1.1:0.4.
The initial amount of pineapple juice is 1.1x.
The initial amount of orange juice is 0.4x.
The amount of orange juice added to the punch is 0.3 L.
The new ratio of the amount of pineapple juice to the orange juice is 1.1:0.5.
The final amount of pineapple juice is 1.1x.
The final amount of orange juice is 0.4x + 0.3.
(1.1x)/(0.4x + 0.3) = 1.1/0.5
0.5x = 0.4x + 0.3
0.1x = 0.3
x = 3
The amount of punch Sarah has now is the total amount of pineapple and orange juice.
The amount of punch is given below :
A = 1.1x + (0.4x + 0.3)
A = 1.5x + 0.3
A = 1.5(3) + 0.3
A = 4.5 + 0.3
A = 4.8
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need this asap 50 points if its correct + brainiest
Answers
you are analyzing data from a study comparing the effect of 3 different antihypertensive medications (red, blue, and purple) on mean arterial blood pressure. subjects were randomized to treatment, but after randomization those who got the red pill are significantly older, and age is correlated with mean arterial blood pressure. what test will allow you to analyze the differences in blood pressure between groups, after adjusting for age
Answers
The test that will allow you to analyze the differences in blood pressure between groups, after adjusting for age is the one way ANOVA test.
What is the test about?One-way analysis of variance is a statistical approach that can be used to determine if the means of two samples are substantially different or not. One-way ANOVA ("analysis of variance") examines the means of two or more independent groups to see if there is statistical evidence that the related population means differ significantly.
One-way ANOVA is commonly employed when there is a single independent variable, or factor, and the purpose is to determine whether fluctuations or various amounts of that factor have a measurable effect on a dependent variable. This van be used to illustrate the relationship.
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95 = e + 36 what’s the answer
Answers
Answer: e = 59
Step-by-step explanation:
Kendra is buying new shoes that normally cost 78.95. She has a coupon to save 35%.. What is the sale price?
Please help me with this!
Answers
The sale price for Kendra's purchase is 51.3175 dollars.
How to find the sale price of a purchase?Kendra is buying new shoes that normally cost 78.95 dollars.
She has a coupon to save 35%.
Therefore, let's calculate the sale price of her purchase.
A sale price is the discounted price at which goods or services are being sold.
The sale price is the price after the original price has been reduced by a discount.
Therefore,
sale price = 78.95 - 35% of 78.95
sale price = 78.95 - 35 / 100 × 78.95
sale price = 78.95 - 2763.25 / 100
sale price = 78.95 - 27.6325
Therefore,
sale price = 51.3175 dollars
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Help with this geometry question I’ll give Brainliest
Answers
By drawing two equivalent right triangles, we will get:
m∠HIF = 58°
How to get the measure of angle HIF?
Let's look at the given image.
If we draw a vertical line that comes down from H, then we will form a little right triangle.
And if we draw another line that goes up from I we will get another right triangle, such that these two form a rectangle togheter.
Notice that these two triangles will be equivalent, just inverted.
Then the measure of HIF (the angle at vertex I of the left right triangle) will be equal to IHG (the angle at vertex H of the right triangle).
From that we conclude that:
m∠HIF = 58°
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Which window with the following dimensions is too small to allow a 48-inch piece of glass to fit through it?
28 x 45 inches
36 x 27 inches
40 x 40 inches
40 × 42 inches
Answers
The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.
What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.To learn more about dimensions, refer to:
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