The equation of the line in the attached graph in slope intercept form is written as
y = -6x + 2How to write the equation of the lineThe slope, m of the linear function is calculated using the points on the graph (1, -4) and (2, -10)
m = (y₀ - y₁) / (x₀ - x₁)
plugging in the values and evaluating
m = (-10 + 4) / (2 - 1)
m = (-6) / (1)
m = -6
equation passing through point (2, -10), using the point slope formula
(y - y₁) = m (x - x₁)
y - (-10) = -6(x - 2)
y + 10 = -6x + 12
rearranging the equation
y = -6x + 12 - 10
y = -6x + 2
The equation of the line in slope intercept form is written as y = -6x + 2
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Find the output, y, when the input, z, is -4.
y=
-8-6 -4
8
6
a f
Y
4-
2-
do
-2-
-4-
-6+
4
6/ 8
Answer:
y = 1
Step-by-step explanation:
locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 1 ), so
when input x = - 4 the output is y = 1
40 % ply tennis 24% plays baseball 58% plays neither. If you pick a student at random what will be the probably plays both sports.
Answer:
The probability is 0.22
Step-by-step explanation:
We know that:
40% of the students play tennis
24% of the students play baseball
58% of the students play neither.
If we add these numbers, we get:
40% + 24% + 58% = 122%
Here we should get exactly 100%, but we get more because we are counting some of the students twice, and that happens because some of the students play both sports, so these students are counted in both percentages.
And we can conclude that exactly 122% - 100% = 22% of the students play both sports:
Now, the probability that a randomly picked student plays both sports, is equal to the quotient between the percentage of students that play both sports and the 100%, this is:
p = 22%/100% = 0.22
The probability is 0.22
Can u please help? .
Answer:
y = -3x -27
Step-by-step explanation:
Parallel lines have the same slope. So the slope will be -3
We need to solve for the y-intercept. Us the x and y values from the point (-6,-9) to find the y-intercept
m = -3 given
y = -9 from the point( -6,-9)
x = -6 from the point (-6,-9)
y = mx + b substitute in what you know and solve for b
-9 = (-3) (-6) + b
-9 = 18 + b Subtract 18 from both sides
-9 -18 = 18 - 18 +b
-27 = b
The equation of the line is y = -3x -27
Which statement is correct?
Answer:
B. ST and TK intersect at a 90 degree angle.
I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.
Step-by-step explanation:
Hope it helps! =D
What is the surface area?
10 yd
8 yd »
10 yd
12 yd
10 yd
A)
Find the product of
f(x)=x²-x-4 and g(x)=x+4
With process
f(x)=[tex]x^{2}[/tex]-x-4 + g(x)=x+4 = the product is with process [tex]x^2+7 x+8$$[/tex] . It is the solution of f(x) and g (x) .
What do you meant by product ?[tex]$$f(x)=x^2-x-4, g(x)=x+4: x^2+7 x+8$$$$\begin{aligned}& \text { Find } f \circ g \text { given } f(x)=x^2-x-4, g(x)=x+4 \\& f \circ g=f(g(x)) \\& g(x)=x+4 \\& =f(x+4)\end{aligned}$$$$\begin{aligned}& f(x+4): \quad x^2+7 x+8 \\& =x^2+7 x+8\end{aligned}$$[/tex]
When a number is multiplied by another number, its products can be found. Because 9 x 3 Equals 27, for instance, 27 is a product of 9 and 3. What you get when you multiply two numbers together is their product. As a result, the product of three and four is twelve, followed by five and four, and so on.
A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product. For instance, the result of multiplying 2 by 5 is 10 when the two numbers are combined. Byproducts include things like straw from grain harvesting operations, salt from desalination plants, sawdust from sawmills, and manure from feedlot operations.
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The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which seat would you have to sit?
Answer:
12
Step-by-step explanation:
The median is the one in the middle. For an odd number of seats, average the first and last seat numbers.
(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.
For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!
32 gallons of water to wash 4 loads of dishes, How many gallons of water will the dishwasher use to wash 10 loads of dishes
Answer: It would be 80 gallons of water that the dishwasher will use to wash 10 loads of dishes. To figure this out you would need to divide 32 by 4 which would equal 8. You would do this to figure out how many gallons of water a dishwasher needs to wash 1 load of dishes. Then you would multiply 8 times 10 which would equal 80.
Step-by-step explanation: hoped this helps thx for the points :D
Find the area. Round to the nearest tenth if necessary.
Answer:
575.4 sq inches
Step-by-step explanation:
you can divide this shape into:
13 x 13 square
trapezoid with bases of 13 and 30 with a height of 20
semi-circle with radius of 15
A(square) = 169
A(trapezoid) = 53
A(semi-circle) = 353.4
Determine whether each pair of ratios forms a proportion (yes or no): A) 7/12, 21/24 B) 12/39, 8/36 C) 4/3.2, 22/17.6
Answer:
I believe its C xd, have a good day hun <3
Step-by-step explanation:
The correct pair of ratios which form proportion is,
⇒ 4/3.2, 22/17.6
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The ratios are;
A) 7/12, 21/24
B) 12/39, 8/36
C) 4/3.2, 22/17.6
Now,
For A;
⇒ 7 / 12 = 0.583
⇒ 21/24 = 0.875
Thus, It is not form a proportion.
For B;
⇒ 12/39 = 0.307
⇒ 8/36 = 0.222
Thus, It is not form a proportion.
For C;
⇒ 4/3.2 = 1.25
⇒ 22/17.6 = 1.25
Thus, It is form a proportion, because both the ratio are same.
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When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar. Which of the following could you use to accomplish this? 1. Excel Preferences II. Quick Access Toolbar Down Arrow O I only Il only Both I and II Neither I nor II
I would choose both I and II for accomplishing the task of "When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar."
What is filters?Click the Commands Not in the Ribbon option in the Customize Quick Access Toolbar dialog box. Click Filter in the list of commands. Select the Add option. Press the OK button. You may use the FILTER function to filter a set of data depending on criteria you provide. The Filter option makes it simple to narrow down your search field.
Here,
I would choose both I and II to complete the task of "When you wish to Add or Remove Filters, go to the Data ribbon, then Filter. You'd prefer to do this with a single click, so you add Filters to the Quick Access Toolbar."
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Find the volume of the cylinder as pictured below with a = 5 cm and b = 10
cm. Use 3.14 for rand round your answer to the nearest hundredth. Do not
include units in your answer.
b
a
Answer:
[tex]\huge\boxed{\mathfrak{\underline{Answer...}}}[/tex]
[tex]\small\mathfrak\red{volume \: of \: cylinder =\pi \: r {}^{2} h } \\ \\ \small\mathfrak\red{ r =5cm \: | height = 10cm } \\ \\ \small\mathfrak\red{volume \: of \: cylinder =3.14 \times 5 {}^{2} \times 10 } \\ \\ \small\mathfrak\red{volume \: of \: cylinder = 785 \: cm.cube} \\ \\ \small\mathfrak\green{hope \: it \: helps .... }[/tex]
Answer:
Step-by-step explanation:
Amber deposited $1400 into an account that pays 5% interest compounded monthly. How much will Amber have in her account after
10 years?
Answer:
1400 divided by 5 = 280 times 10 = 2800.
Step-by-step explanation:
Step-by-step explanation:
[tex]total \: months \: = 12 \times 10 = 120 \\ 5\%of \: 1400 = 70 \\ so \: 120 \times 70 = 8400 \\ total = 1400 + 8400 = 9800 \: dollar \\ thank \: you[/tex]
Help me now pleasee!!!
Help me out here? I dunno the answer
2x + 11 = 25
Solve x
I need the working out.
Step-by-step explanation:
No problem,
The first steps we take is we will subtract 11 from the equation and subtract it from the total so it is easier for us.
Its one of the basic rules of Algebra.
2x + 11 = 25
2x + 11 - 11 = 25 -11 (We subtracted from both sides.)
2x = 14 (Now we are going to divide.)
2x / 2 = x
14 / 2 = 7
Now if we put this equation together we get x = 7.
Hope this helps.
Comment down if you have any questions
HELP PLEASE NO LINKS
Answer:
D
Step-by-step explanation:
Answer:
50 cups of water
Step-by-step explanation:
If there is 30 cups of lemin juice, you would divide it by 6 cups to see how many portions there are. There are 5 portions of it, so you would multiply the 10 cups of water by 5 and then 6 cups of lemon juice by 5.
30 cups of lemon juice and 50 cup of water is what you would get
Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
The P-value of this test is 0.0571. What conclusion should be made?
Because the P-value of 0.0571 < α = 0.05, we reject H0. We have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 < α = 0.05, we reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Answer:
b. Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Step-by-step explanation:
EDGE 2021
I hope this helps!
Answer: Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Step-by-step explanation: EDGE 2022
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
40km
hope this helps
have a good day :)
Step-by-step explanation:
Solve for x.
please help w this problem, will give thanks !
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
[tex] \frac{141x - 1}{2} = 70[/tex]
[tex]141x - 1 = 140[/tex]
[tex]141x = 141[/tex]
[tex]x = 1[/tex]
The cost of renting a boat for different
times is shown in the table below. The
relationship shown is linear.
Hours
Cost (dollars)
2
51
4
102
6
153
8
204
Which of the following is the hourly rate
for renting the boat? (8.1A, 8.18, 8.1C,
8.1E)
C $51.00
A $25.50
B $30.50
D Not here
Answer:
Step-by-step explanation:
Kayden is deciding between two landscaping companies for his place of business.
Company A charges $55 per hour and a $125 equipment fee. Company B charges $40
per hour and a $275 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge for t hours of landscaping. Write an equation for each situation, in terms oft,
and determine which company would be cheaper if Kayden needs 13 hours of
landscaping
Answer:
A = 55t + 125
B = 40t + 275
B is cheaper for 13 hours
Step-by-step explanation:
Company A charges $55 per hour and a $125 equipment fee.
A = 55t + 125
Company B charges $40 per hour and a $275 equipment fee.
B = 40t + 275
----------------------------
For 13 hours
A = 55(13) + 125 = 840
B = 40(13) + 275 = 795
B is cheaper
Answer:
second part of the QUESTION Company B is $45 cheaper than Company A for 13 hours of landscaping.Step-by-step explanation:
What number would you need to multiply the first equation by to eliminate the y variable when solving the system of equations by elimination?
We would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
The first equation is: 3x + 4y = 5
To eliminate the y variable when solving the system of equations by elimination, we need to multiply the first equation by -4. This is because when two equations are multiplied by the same number, any terms that have the same variable will be eliminated when the equations are added together.
Formula:
3x + 4y = 5
-4(3x + 4y = 5)
3x + 4y = 5
-12x - 16y = -20
Thus, we would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
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please help im lost ;math 10th grade
The outer perimeter of the figure will be 62.3 ft.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, The total outer perimeter is,
⇒ Outer perimeter of triangle = 12.2 ft + 6 ft
= 18.6 ft
And, Outer perimeter of rectangle = 14 ft + 14 ft
= 28 ft
And, Outer perimeter of semicircle = πr
= 3.14 × 10 / 2
= 3.14 × 5 ft
= 15.70 ft
Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft
= 62.3 ft
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What is the velocity of the object from t=0 to t=3.0s?
0 is the velocity of the object from t=0 to t=3.0s
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time .
The areas under a versus t gives the change in velocity. The initial velocity was 1.0 m/s.
The change in velocity from t = 0 to t = 3.0 s is
(1 + 0 - 2.0)m/s = -1 m/s. v(3s) = 1 m/s - 1 m/s = 0 m/s
Hence, the velocity of the object from t=0 to t=3.0s is 0.
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Find the lengths of the missing sides. If the length is irrational, round to the nearest tenth.
Answer: 25
Step-by-step explanation:
What are the domain and range of this function
(0, -4)
(10,-2)
(-10, -2)
(1, -6)
The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
The range refers to all potential values of y, while the domain refers to all conceivable values of x.
The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.
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A rectangle has a perimeter of 36 cm and an area of 72 cm2.
What is the length of the rectangle's shorter side?
O 2 cm
O 3 cm
04 cm
6 cm
8 cm
What is the length of the rectangle's longer side?
06 cm
O 8 cm
O 9 cm
O 12 cm
18 cm
The length of the rectangle's shorter side is 6cm and the of the rectangle's longer side is 12cm.
What is perimeter?
The total length of a shape's boundary, as used in geometry, is referred to as the shape's perimeter. Adding the lengths of all the sides and edges that surround a shape yields its perimeter. It is calculated using linear length units like centimeters, meters, inches, and feet.
Given:
A rectangle has a perimeter of 36 cm and an area of 72 cm^2.
Let the length of the rectangle's shorter side is 'a' and
the length of the rectangle's longer side 'b'.
As the perimeter is 36 cm.
⇒ Perimeter = 2(a + b)
36 = 2(a + b)
18 = a+ b
a = 18 - b
Now the area of rectangle is 72cm^2.
⇒ Area = ab
72 = (18 - b)*b
72 = 18b - b^2
b^2 - 18b + 72 = 0
b^2 - 12b - 6x + 72 = 0
b(b - 12) - 6(b - 12) = 0
(b - 12)(b - 6) = 0
(b - 12) = 0, (b - 6) = 0
b = 12, b = 6
When b = 12 ⇒ a = 18 - 12 = 6
When b = 6 ⇒ a = 18 - 6 = 12
Hence, the length of the rectangle's shorter side is 6cm and the of the rectangle's longer side is 12cm.
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The probability that a student chosen at random from a class has ginger hair is 5/14.
The probability that they have blonde hair is 9/28.
What is the probability that a student chosen from the class at random has either ginger or blonde hair?
Give your answer as a fraction in its simplest form.
Answer: The probability of a random student to have either ginger or blonde hair is 19/28.
Step-by-step explanation: Before anything is done, let's look and see what information the problem gives us and what we need to find out. We know that there's a 5/14 chance for a student to be ginger, and a 9/28 chance for them to be blonde. We need to find out the combined chance, as we want to know what the chances are for a student to have either hair color.
In order to do this, all we need to find is the sum of both fractions. Because the fractions have different denominators, we need to change one of them to match the other. 14 multiplied by 2 is equal to 28.
If we multiply both the numerator and denominator of 5/14 by 2, we get 10/28. Now, all we have to do is add that to 9/28. When we do that, we get 19/28.
19/28 cannot be simplified, so it is our final answer. Hope this helps!