Answers
Answer:
solve for y
Step-by-step explanation:
[tex]5x-2y=-10[/tex]
subtract 5x from both sides
[tex]5x-5x-2y=-10-5x[/tex]
[tex]-2y=-10-5x[/tex]
Divide each term in the equation by -2
[tex]\frac{-2y}{-2}=\frac{-10}{-2} -\frac{-5x}{-2}\\\\y=\frac{-10}{-2} +\frac{-5x}{-2} \\\\y=5+\frac{5x}{2}[/tex]
(negative+negative=positive)
re-write in slope-intercept form [tex]y=mx+b[/tex] , where m is the slope and b is the y-intercept
[tex]y=\frac{5}{2}x+5[/tex]
Now you know that the slope is [tex]\frac{5}{2}x[/tex] and the y-intercept is [tex]5[/tex].
Now, to graph, you just need to choose random values for x (like 0,1,2,3 or any other number) and insert into the equation [tex]y=\frac{5}{2}x+5[/tex] to find the points, or you can just use the slope. To find the x-intercept, do the following:
make y equal to 0
[tex]0=\frac{5}{2}x+5[/tex]
Solve for x:
simplify [tex]\frac{5}{2}x[/tex]
[tex]0=\frac{5x}{2} +5[/tex]
Subtract 5 from both sides
[tex]0-5=\frac{5x}{2}+5-5\\ \\-5=\frac{5x}{2}[/tex]
Multiply both sides by 2
[tex]2(-5)=2(\frac{5x}{2})\\\\-10=5x[/tex]
Divide both sides by 5
[tex]\frac{-10}{5}= \frac{5x}{5}\\\\-2=x[/tex]
Flip
[tex]x=-2[/tex]
The x-intercept is -2.
Related Questions
Which values are within the domain of the function?
Check all that apply.
X=-6
x= -4
x=-2
x = 0
x = 2
x = 4
Answers
Answer:
Step-by-step explanation:
The domain of a function simply encompasses the set of input values which satisfies a given function. Hence, the values within the domain of the function are ; - 6, - 4, - 2, 4
Since the domain marks the set of input values, then they could be described as the x - values which satisfies the condition on the graph. The line on the right covers x - values greater than 2. The line on the left covers x-values from -2 belowHence, the x-values in the option which satisfies the function are - 6, - 4, - 2, 4
Learn more : https://brainly.com/question/15696318
CAN SOMEONE PLS ANSWER THIS????????????
Describe this number line and the numbers and fractions show
Answers
Answer:
The answers go backwards in the negative
Step-by-step explanation:
it goes -2, -1 3/4, -1 1/2, -1 1/4, -1, and so on.
Answer: The number line shows -2 through 2, divided unto fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.
Simplify the expression.
18a + 12x − 12a + 15x
Answers
Answer: 6a+27x
Step-by-step explanation:
combine 18a and -12a
combine 12x and 15 x
thus the answer
Hope I helped!
Answer:
18a + 12x - 12a + 15x
combining like terms we get
6a + 27x
Now we can take common from them
3(2a + 9x)
Step-by-step explanation:
Find the circumference of a circle that has a diameter 56m
Answers
Answer:
the circumference= 175.92918860102841m
Step-by-step explanation:
Answer:
175.929
Step-by-step explanation:
Because to solve this you need to use this formula
Write down the formula for calculating the circumference of a circle; C = πd, where C = circumference, π = 3.14 and d = diameter.
Please help I will mark you as brainliest!
Answers
We can use the base formula: [tex]a_n=a_1+(n-1)d[/tex]
[tex]a_n[/tex] = nth term
[tex]a_1[/tex] = first term
[tex]n[/tex] = position of the term
[tex]d[/tex] = common difference
First, lets find the common difference of the sequence.
12 - 5 = 7
19 - 12 = 7
26 - 19 = 7
Second, find the variables we already know.
[tex]a_1[/tex] = 5
[tex]d[/tex] = 7
Put these values into the formula: [tex]a_n = 5+(n-1)7[/tex]
We can use this expression to solve for the fifth term.
[tex]a_5=5+(5-1)7\\a_5=5+(4)(7)\\a_5=5+28\\a_5=33[/tex]
Therefore, the answer is [tex]a_n = 5+(n-1)7[/tex]
Best of Luck!
Question
Find the volume of the cylinder. If necessary, round your answer to the nearest hundredth.
12 ft
10 ft
The volume of the cylinder is
Answers
r= radius
h= height
If the radius was 10 ft and the height was 12ft then the answer be about 3769.91.
However if it was reversed and the radius was 12ft and the height was 10 ft then the answer would be about 4523.89.
3769.92≈ π 10^2 12
or
4523.89≈ π 12^2 10
(Question was not correctly specified)
A company produces canned tomatoes. They want the height h of each can to be twice the diameter d. Enter an equation for the surface area A of the can in terms of the radius r. If the company wants to use no more than 90 square inches of metal for each can, what is the maximum radius of the can they will produce? Round to the nearest tenth of an inch.
Answers
Answer:
The equation is:
(2×π×r×4r)+(2×π×r^2)= A
The maximum radius of the can they will produce = 1.7 inches
Step-by-step explanation:
Please see the attached files for explanation
Question 2: You want to donate 30% of the $400 earned at your yard sale to
charity. How much should you donate?
What is 10% of the total?
Your answer
What will 30% be?
Your answer
Answers
Answer:
10%= 40$ 30%=120$
Step-by-step explanation:
ok so u earn 400$ at a yard sale. you divide it by 100 400/100=4. ok so then you multiply four by 10=40 and that is 10% multiply it by 30 u get 120 or 30%
sorry for the bad spelling
To find out how much to donate, you need to understand what percentage means. 10% of $400 is $40 and since 30% is 3 times as much, you should donate $120.
Explanation:To solve this problem, you first need to understand what 10% of a quantity means. 10% of a quantity is simply that quantity divided by 10. If you want to donate 30% of the $400 earned at your yard sale to charity, you first need to find 10% of $400, which is $400 divided by 10. This gives you $40.
Since 30% is the same as three times 10%, you just need to multiply your answer for 10% by 3. Therefore, you should donate $40 times 3, which equals $120.
Learn more about Percentage Calculation here:https://brainly.com/question/329987
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Candice is an interior designer, and she is currently trying to change the look of a room. Candice found that the area of a room could be given by the expression 3x2 + 2x. The aread of the rug she wants to spread on the floor is given by the expression x2 + 24x - 144. What expression represents the area of the room not covered by the rug?
Answers
Answer:
[tex]A(x) = 2x^2-22x+144[/tex]
Step-by-step explanation:
We are given the following in the question:
Area of room =
[tex]3x^2 + 2x[/tex]
Area of rug =
[tex]x^2 + 24x - 144[/tex]
We have to find the area of of the room not covered by the rug.
Area of of the room not covered by the rug =
Area of room - Area of rug
[tex]A(x)=(3x^2 + 2x) - ( x^2 + 24x - 144)\\A(x)=3x^2 + 2x-x^2 -24x + 144\\A(x)=(3x^2-x^2)+(2x -24x) + 144\\A(x)=2x^2-22x+144[/tex]
is the required expression for the area of floor not covered by the rug.
Vincent started the year with $231 in his account at the health spa. Each time he uses the spa, $6 is taken out of the account. How many more times can he use the spa if he has already had $48 taken out of his account this year?
Answers
Answer:
Vincent would have 30.5 more visits, but since you can't have half a visit technically speaking, round up to 31 if it is allowed.
Step-by-step explanation:
$231 - $48 = $183
$183 divided by $6 = 30.5
Ethan and Evan are twins. They each deposit $3,000 into separate bank
accounts. Ethan's account accrues interest at a rate of 8% annually. Evan's
account compounds interest at a rate of 8% annually. Which of these
accounts can be modeled by linear &/or exponential. Explain why?
Answers
Evan's account can be modeled by exponential growth because it compounds interest. Ethan's account can be modeled by linear growth because it accrues a fixed interest rate annually.
Explanation:The account that can be modeled by exponential growth is Evan's account because it compounds interest. Compound interest involves the exponential growth formula: A = P(1 + r/n)^(nt), where A is the final account balance, P is the principal (initial deposit), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, Evan's account compounds interest annually, so n=1.
Ethan's account, on the other hand, can be modeled by linear growth. Linear growth is represented by a straight line on a graph, and it involves a constant rate of increase over time. Ethan's account accrues interest at a fixed 8% annually, so the amount in the account increases by the same amount every year.
Learn more about Modeling bank accounts with exponential and linear growth here:https://brainly.com/question/16164776
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Please help me
The question is in the picture ;(
Answers
Answer:
B. Printer B; 2 more pages per minute
Step-by-step explanation:
70/2 = 35 which is 2 more than 33
What is the name for the total area of the surface of a solid?
Answers
Answer:
the surface area
Step-by-step explanation:
the surface area refers to the area on the surface of each side added all together
Answer:
Surface-area.
Step-by-step explanation:
Surface-area. If a solid is composed of flat surfaces, such as the cube on the right, the surface area is simply the sum of the areas of the flat surfaces (called faces).
Is
Δ
P
X
Y
≅
Δ
P
X
Z
Answers
Answer:
Yes!
Step-by-step explanation:
The function y = 10 x + 190 represents the relationship of the given data where x represents fat, in grams, and y represents calories.
How many calories would there be in a snack with 35 grams of fat?
Answers
Answer:
540 calories
Step-by-step explanation:
We are trying to find y (calories), when x (fat) equals 35 grams.
So, we can substitute 35 in for x
y= 10x +190
y=10(35)+190
Multiply 10 and 35
y=350+190
Add 350 and 190
y=540
A snack with 35 grams of fat will have 540 calories
Please help !!!!!
I need it asap
Answers
Which question do i solve?
The circumference of a circle is 270.04 centimeters. What is the circle's diameter?
Use 3.14 for .
Answers
Answer:
86 cm
Step-by-step explanation:
I think of a number multiply it by two and add five I get twenty two
Answers
Answer:
8.5
Step-by-step explanation:
To work out the original number you would need to work backwards ( do the opposite). First you would do 22-5, this gives us 17. Then you would divide 17 by 2 to work out the original number.
1) Subtract 5 from 22.
[tex]22-5=17[/tex]
2) Divide 17 by 2.
[tex]17/2=8.5[/tex]
3) The original number was 8.5
Answer:8.5
Step-by-step explanation:
Find the area of the shape.
Answers
180Answer:
Step-by-step explanation:
30 POINTS!
Find the area of the shaded regions.
Answers
Answer:
84.82 or 27pi
Step-by-step explanation:
Area of a circle is A=pir^2
so the area of the whole circle would be 6^2pi
so area is 36pi but only 3/4 is shaded so
36pi*3/4=27pi
27*pi≈84.82
Answer:
84.78cm²
Step-by-step explanation:
Angle at the centre:
360 - 90 = 270
Area:
(270/360) × pi × r²
(3/4) × pi × 6²
27pi cm²
27(3.14) = 84.78 cm²
In word form what is represented by 67z + 8.9 Less-than-or-equal-to–302?
Answers
Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two
It the answer
Answer:Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two
Step-by-step explanation:
If ∠A is complementary to ∠F and m∠A = 79°, what is m∠F?
Answers:
60
101
11
7
Answers
Can 17 cm, 18 cm, and 35 cm form a triangle
Answers
Answer:
No.
Step-by-step explanation:
17+18 is not greater than 35.
17 + 18 = 35
so three sides of those lengths form a degenerate triangle, three collinear points. A degenerate triangle is not a triangle. The triangle inequality is not satisfied.
Answer: NO
Round to the underlined place.
Answers
Answer:
the answer would be 8.38
Find the combined volume of the cube and pyramid.
Answers
Answer:
d
Step-by-step explanation:
4 boxes of doughnuts. 6 doughnuts in each box. Divided equally among 8 people. How many doughnuts did each person receive?
Answers
Answer:
3
Step-by-step explanation:
If there are 6 doughnuts in each box and there are 4 boxes, then 4x6=24. The 24 needs to be split between 8 people. So 24/8=3.
Answer:
Three doughnuts
Step-by-step explanation:
4 boxes of doughnuts times 6 in each box is 24. And 24 divided by 8 is 3.
Find the measure of angle BCD in the following parallelogram. what's does BCD equal
Answers
Answer:
120 degrees
Step-by-step explanation:
This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:
2x + x + 2x + x = 360
Combine like terms and solve for x:
6x = 360
x = 360/6 = 60
<BCD = 2x = 2 * 60 = 120
Thus, the answer is 120 degrees.
Hope this helps!
BCD is equal to 120 degrees.
This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:
2x + x + 2x + x = 360
Combine like terms and solve for x:
6x = 360
x = 360/6 = 60
[tex]\angle BCD = 2x = 2 * 60 = 120[/tex]
Thus, the answer is 120 degrees.
please answer asap!!!
Answers
Answer:
x + a + 2
Step-by-step explanation:
g(a) = a² + 2a
g(x) - g(a) = x² + 2x - a² - 2a
= x² - a² + 2x - 2a
= (x - a)(x + a) + 2(x - a)
= (x - a)(x + a + 2)
[g(x) - g(a)] ÷ (x - a)
= x + a + 2
Solve y∕5.6 = 12 for y.
Question 2 options:
A)
67.2
B)
2.14
C)
17.6
D)
6.4
Answers
Answer:
It is (A) y = 67.2
Hope this helped ya :)
If people blink about 13 times per minute, how many times do they blink in 7 hours?
Answers
Answer:
Step-by-step explanation:
1 hour=60 min
7 hours=60×7=420 min
number of blink=420×13=5460
Final answer:
To calculate the number of times a person will blink in 7 hours at a rate of 13 blinks per minute, you multiply 13 by the total number of minutes in 7 hours (420) to get 5,460 blinks.
Explanation:
If people blink about 13 times per minute, we can calculate how many times they blink in 7 hours by multiplying the number of blinks per minute by the number of minutes in 7 hours. First, let's find out how many minutes are in 7 hours:
7 hours x 60 minutes per hour = 420 minutes
Now, we'll multiply the number of minutes by the number of blinks per minute:
420 minutes x 13 blinks per minute = 5,460 blinks
Therefore, a person will blink 5,460 times in 7 hours. This is a simple arithmetic multiplication problem that provides us with the total number of blinks over a given period.