Answer:
Third one down
Step-by-step explanation:
which inequality represents this graph
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?
Step-by-step explanation:
Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x
Write each equation in slope-intercept form.The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.
2x + y = 5Subtract 2x from both sides:
2x - 2x + y = - 2x + 5
y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.
3y = 9 − 6xDivide both sides by 3 to isolate y:
3y = − 6x + 3
[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]
y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.
What do the equations have in common?y = -2x + 5
y = -2x + 3
These equations have the same slope, m = -2.
How are they different?They have different y-intercepts.
y = -2x + 5 ⇒ The y-intercept is (0, 5), where b = 5.
y = -2x + 3 ⇒ The y-intercept is (0, 3), where b = 3.
The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.
Step 1: Write each equation in slope-intercept form.
Given system of equations:
1. 2x + y = 5
2. 3y = 9 - 6x
Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Let's rewrite the equations in slope-intercept form:
1. 2x + y = 5
Subtract 2x from both sides: y = -2x + 5
2. 3y = 9 - 6x
Divide both sides by 3: y = -2x + 3
Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.
The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.
The difference in y-intercepts means that the lines are parallel and run parallel to each other.
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is it linear??? plzzzzz
Answer:
Not a linear function
Step-by-step explanation:
3xy = 27 is not a linear function.
A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form). An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.
Isolating y from the left-hand side:
3xy = 27
On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy is the same as expressing it as 3·x·y.
We cannot simply add or subtract x or y to isolate either one of the variables. The proper mathematical operation to do so is by division.
Hence, we must divide both sides by 3x to isolate y:
[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]
[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0. The graph of an inverse function is a hyperbola.
Attached is the graph of [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] to show why it is not considered as a linear function. A linear function will show a straight line.
What is 100% of 63?
PLEASE ANSWER QUICKLY
Answer:
100 percent of 63 is 63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
100 x 63 /100 = 63
simplify the square root of -180
please show work
Answer:
6sqrt5
Step-by-step explanation:
What is the slope of the line that
passes through these two points?
Simplify your answer completely.
Enter
Answer:
2/6
Step-by-step explanation:
you move up to spaces and over six spaces
Original price of a puppy $159.95 Discount 15% Tax 8.725%?
Answer:
$124.095
Step-by-step explanation:
Discounted Price= $159.95- 15%of $159.95=$135.9575
Final Price= Discounted price + Tax
= $135.9575+ 8.725% of $135.9575
= $135.9575-$11.8622
=$124.095
Mofor had $21 to spend on two notebooks.
After buying them he had $13. How much
did each notebook cost?
Two-step equations
Step-by-step explanation:
21-13=8
8÷2=4
A note book costs 4$
Answer:
the unit price of the notebooks: $4
Step-by-step explanation:
Mo starts with $21 and finds himself left with $13 after buying the notebooks. Subtracting $13 from $21 results in $8, the amount he spent on two notebooks. Dividing $8 by 2 yields the unit price of the notebooks: $4
What is the interior degree measure of angle A?
Answer:
in the pictureStep-by-step explanation:
opposite corners first, then adjacent corners, and so on
Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.
Group of answer choices
(5, −1)
(1, −2)
(−5, −1)
(−10, 6)
The coordinates of point E on the given line CD is; Option C: (-5, -1)
We are given the points with coordinates;
C (-7 , - 4) and D(-1 , 5 )
Now, we are told that point E divides CD in the ratio 1:2.
Let coordinate of E be (x, y)
The formula to find (x, y) is;
x = (mx2 + nx1)/(m + n)
y = (my2 + ny1)/(m + n)
Where m:n is the ratio of the partition. Thus;
x = (1*-1 + 2*-7)/(1 + 2)
x = -15/3
x = -5
Similarly;
y = (1*5 + 2*-4)/(1 + 2)
y = -1
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A new yo-yo factory is operating at 80%
of capacity and produces 4,000 yo-yos
daily. When the factory reaches 100%
of capacity, how many yo-yos should be
produced each day?
Answer:
5,000 yoyos per day
Step-by-step explanation:
80 x 1.25 = 100
4,000 x 1.25 = 5,000
what is the greatest common factor of
8x - 12
Answer:
4
Step-by-step explanation:
8x - 12
4(2x - 3)
The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?
Three classes at a junior high school raised money to buy a new computers.
Answer:
what's the question...?
Step-by-step explanation:
Leave a comment?
Are the triangles congruent! (Help)
10.
Use the quadratic function to predict y if x equals 6.
y = 2x2 − 2x − 2
A. y = 60
B. y = 58
C. y = −60
D. y = −58
Answer:
B. y = 58
Step-by-step explanation:
b) y=58 you follow the instructions
...............................................................................................................................................
The given quadratic function is
y= 2x^2 - 2x - 2
We have to find the value of the function y at x=6.
Substitute x=6 in the given function.
y= 2(6)^2 - 2(6) - 2
y= 2(36) - 12 - 2
y= 72 - 14
y= 58
The value of the function is 58 at x=6 is 58.
Therefore the correct option is B.
100 POINTS! show work or i report!
Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?
Answer:
$4,720
Step-by-step explanation:
$4,000 fridge
$120/1 year
[tex]\frac{120}{1} = \frac{x}{6}[/tex]
120 * 6 = 720
720 / 1 = 720
$720 for 6 years
720 + 4,000 = 4,720
$4,720
Answer:
$4,720
Step-by-step explanation:
What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me
Answer:
- 3r + 18
Step-by-step explanation:
7r - 8r - 2r + 13 + 5 = 7r - 10r + 18
Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.
Answer: 5.824 m / min
Step-by-step explanation:
Change in position = -2.1m to -38.6m
Distance = |-38.6 m - (-2.1m) |
=|-36.5| m
= 36.5 m
Time =
The average change in Michelle's position each minute =
Hence, the average change in Michelle's position each minute = 5.824 m / min
f/3 + 22 = 17.
» How can you isolate the variable f?
yeah
Answer:
subtract 22 from both sides then multiply 3 to both sides
Step-by-step explanation:
F/3+22=17
-22. -22
F/3 = -5
x3. x3
F= -15
Solve this quadratic function
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]
now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]
[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]
10 4/5+(8 3/4−6 1/2) no files plz you dont have to explain it either
Answer:
11
Step-by-step explanation:
10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11
Assuming that the data for all employees follows the same pattern, which kind of relationship is
there between years of higher education and current salary?
A- a clustered relationship
B- there is no relationship
C- a negative correlation
D- a positive correlation
Answer:
D- A POSITIVE CORRELATION
plzz help its so confusing
espero que sea de tu agrado la tarea que te estoy enviando
soy de peru
brillith2022
i need help plz the question is in the image
Answer:
46<h
Hopes this helps :)
translate the sentence into a equation using n as the unknown number . Then solve the equation for n . 5 increased by half a number is 11
Answer:
I think it'll be 5 + n = 11
11 - 5 = 6
n = 6
Answer:
Below in bold.
Step-by-step explanation:
Let the number be n, then:
5 + 1/2n = 11
1/2n = 11 - 5
1/2n = 6
Multiply both sides of the equation by 2:
n = 12.
The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?
Answer:
266.5%
Step-by-step explanation:
The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?
213.2 : 80 = x : 100
x = 213.2 * 100 : 80
x = 266.5
------------------------------
check
266.5 - 20% = 213.2
the answer is good
Abby bought 5 chocolate bars from the store. She gave 1/4 a bar to her firends. How many freinds got chocolate
Answer:
5
Step-by-step explanation:
Just 1/4 from each of 5 bars so 5.
Answer:
20
Step-by-step explanation:
So if we divide 5 by 1/4 that gives us 20, which is the total amount of friends she can give 1/4 of a bar too
Please take a look at the picture.
Answer:
B, and A
Step-by-step explanation:
big brain time
4. In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the Z statistic.
The z-test compares the two sample to determine the existence of a
difference in the two proportion.
The Z-statistic or test of the difference in proportion is approximately -2.106.Reasons:
The given parameter are;
Number of women, n₁ = 120 women
Number of men, n₂ = 150 men
The population size = 150,000
Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%
Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%
The Z statistic is given as follows;
[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]
Number of men = 0.37 × 150 = 55.5
Number of women = 0.25 × 120 = 30
[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]
Which gives;
[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]
The Z-statistic is approximately -2.106
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