The x-axis should be labeled quartz of yogurt.
The y-axis should be labeled total cost.
The slope of each line represents the cost of yogurt ($/qt).
The y-intercept of each line represents the initial equipment cost.
What is y-intercept?In Mathematics, the y-intercept is also known as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the graph above, the initial equipment cost represents the y-intercept of each line.
What is a slope?In Mathematics, a slope is also referred to as gradient or rate of change and it is typically used to describe both the ratio, direction and steepness of the function of a straight line.
Therefore, the slope of each line represents the rate of change of the total cost with respect to the quartz of yogurt ($/qt).
Read more on slope here: brainly.com/question/3493733
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The area of a triangle is 30sq. the perimeter of the triangle is 10in. write an inequality that represents the missing side of the triangle.
Is it supposed to be 30 divided by 10?
HELP
solve step by step and explain
factorize
6(2a+3b)² - 8(2a + 3b)
Answer:
Step-by-step explanation:
8.If one sheet of paper is 2/5 cm thick, how thick is a packet containing 180 sheets of paper ?
-28- 15 + 3
_________
8-(-2)
Answer:
-4
Step-by-step explanation:
First, you want to solve each equation.
-28-15+3
-43+3
-40
8-(-2)
8+2
10
Then divide.
-40÷10=-4
express \sqrt{3} - \frac{2}{\sqrt{3} } [tex]\sqrt{3} - \frac{2}{\sqrt{3} }[/tex]
[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]
ok done. thank to me :>
if 9^x = 1/27, find the value of x
[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]
Find the perimeter. Simplify your answer.
Answer:
2p -2
Step-by-step explanation:
To find the perimeter, add up all the lengths of each side of the rectangle.
Perimeter
= 2 +2 +p -3 +p -3
= 2 +2 -3 -3 +p +p
= -2 +2p
= 2p -2
Write the slope-intercept form for the line with a slope of 2 and a y-intercept of 12.
Answer:
y = 2x + 12
Step-by-step explanation:
g/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?
Simplify.
Answer:
[tex] \frac{4}{(g + 4) ^{2} }[/tex]
Step-by-step explanation:
Factor the expressions that are not already factored in g/g² + 4g.[tex] \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } [/tex]
Cancel out g in both numerator and denominator.[tex] \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } [/tex]
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.[tex] \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } [/tex]
Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.[tex] \frac{g + 4 - g}{(g + 4) ^{2} } [/tex]
Combine like terms in g+4−g.[tex] \frac{4}{(g + 4) ^{2} } [/tex]
Expand (g + 4)².[tex] \frac{4}{g^{2} + 8g + 16 } [/tex]
Hope It's Help
Given: Circle A externally tangent to Circle B.
How many possible common tangents to circles A and B can exist?
2
3
4
there are only 2 possible common tangents to circles A and B can exist
ok done. Thank to me :>
Answer:
3
Step-by-step explanation:
Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1/4 gallons. how much did Kayla make
Answer:
7/12
Step-by-step explanation:
Are the line y=x+3 and y=x-3 perpendicular
Answer:
no
Step-by-step explanation:
to be perpendicular the second equation would have to be -x (the opposite of x)
these lines are parallel
Answer:
No, not perpendicular
Step-by-step explanation:
Compare the slopes of the two lines. In each case the slope is 1. Therefore the slopes are not negative reciprocals of one another, and the lines are NOT perpendicular.
Can someone double-check this to see if it's right?
Answer:
yea it is
Step-by-step explanation:
2.3/2.4 representing slope in proportional relationships
Answer:
Ok
Step-by-step explanation:
Ok
Use the solution for the system to find x - y
3x - 2y = 10
2x + 3y = -2
Answer:
solution is (3,-1/2)
Step-by-step explanation:
A aluminum bar 4 feet long weighs 24 pounds. What is the weight of a similar bar that is 3 feet 3 inches long?
A. 29.54 LBS
B. 3 LBS
C. 19.50 LBS
D. 78 LBS
Answer:
C. 19.50 lbs
Step-by-step explanation:
3 feet 3 inches is nearly 4 feet, but is a little shorter. That means the weight of the bar will be nearly 24 pounds, but a little less.
It cannot be 29 or 78 pounds, because those weights are more than 24 pounds. It cannot be 3 pounds, because that weight is significantly less. The only viable answer choice is 19.50 pounds.
__
We assume the weight is proportional to the length. Then the weight (w) of the shorter bar will be ...
w/39 = 24/48 . . . . . weight in pounds/length in inches
w = 39(24/48) = 39/2 = 19.5
The weight of the shorter bar is 19.5 pounds.
Decide which of the following numbers does not belong in the group.
108
502
603
360
And why does it not belong?
Answer:
502
Step-by-step explanation
108 has the numbers 0, 1, and 8 which added together totals 9
603 has the numbers 0, 3, and 6 which added together totals 9
360 has the numbers 0, 3, and 6 which added together totals 9
502 has the numbers 0, 2, and 5 which equal 7
502 is the odd one out
Describe a pattern in the sequence then figure out the next 2 terms.
3, 11, 19, 27, ..., ...
Answer:
35, 43
Step-by-step explanation:
The pattern is that to obtain a term in the sequence , add 8 to the previous term, then
27 + 8 = 35
35 + 8 = 43
35 and 43 are the next 2 terms in the sequence
Answer:
35,43
Step-by-step explanation:
add 8 k so ya but ya and so on
Find the solution set of this inequality. Enter
your answer in interval notation using grouping
symbols.
| 2x+3 | <= 3
Answer:
-3 ≤ x ≤ 0
Step-by-step explanation:
2x + 3 ≤ 3
2x ≤ 0
x ≤ 0
-2x - 3 ≤ 3
-2x ≤ 6
x ≥ -3
An advertisement for a box of crackers says that the new box has 20% more crackers than the original box. If the weight of the original box was 12 ounces, what is the weight of the new box of crackers?
Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.
The old box weighed 12 ounces and the new box has 20% more than the old box had.
The new box should therefore weigh 20% more than the old box which means that it weighs:
= Weight of old box x ( 1 + increase in new box)
= 12 x (1 + 20%)
= 14.4 ounces
In conclusion, the new box weighs 14.4 ounces.
Find out more at https://brainly.com/question/2051201.
Plzzzz help meeee plzzzz
Answer:
i. 2040 ii.1632
Step-by-step explanation:
I think i did this right..
the shown bellow question answer
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Are of the given figure is ~
[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The area of the compound shape is equal to ~
Area of rectangle + Area of semi - circle
let's find the Area of rectangle ~
[tex]length \times width[/tex][tex]11 \times 4[/tex][tex]44 \: \: {cm}^{2} [/tex]now, let's find the Area of Semicircle ~
[tex] \dfrac{ \pi{r}^{2} }{2} [/tex][tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex][tex]6.28 \: \: c {m}^{2} [/tex]So, Area of the given figure is equal to ~
[tex]44 + 6.28[/tex][tex]50.28 \: \: cm {}^{2} [/tex]Guided Practice
Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.
A.
y = 3(x + 3)^2 + 3
B.
y = 4(x − 3)^2 + 3
C.
y = 50(x + 3)^2 + 4
D.
y = 3(x − 3)^2 + 3
Answer:
A.
y = 3(x + 3)^2 + 3
Step-by-step explanation:
The vertex form of the equation is y=a(x-h)2 + k
You know that the vertex (h,k) is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.
First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values
150 = a(4 + 3)2 + 3
Now simplify
150 = a (7)2 + 3
150 = 49a + 3 Important: please be sure to square.
147 = 49a
3= a
Next replace a into the formula now leaving x and y alone.
y = 3 (x+3)2 + 3 [Vertex form]
I hope this helps. Have a great day!
Answer:
A. [tex]y = 3(x + 3)^2 +3[/tex]
Step-by-step explanation:
The vertex form is:
[tex]y = a(x - h)^2 + k[/tex]
Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.
So with the given values we have:
[tex]150 = a(4 + 3)^2 + 3[/tex]
Then isolate [tex]a[/tex] for find the missing value.
[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]
Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]
I do this do y'all can get extra point and complete challenges!
What is 1 + 1
(hey, it's 100 points, you can do it)
Answer:
1 + 1 is 2
Step-by-step explanation:
very hard question
Answer:
Step-by-step explanation:
1+1= 2
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.
Answer:
whats your equation?
Step-by-step explanation:
Ill edit my answer after.
Answer:
Step-by-step explanation: Sorry if im late
simplify (5 cubed)to the power of 6 leaving your answer in index form
Answer:
I got up to 25 to the power of 6
Step-by-step explanation:
5 cubed is 25, Hope this leads you in the right direction
Someone plsss help with this one
Answer:
B) The amount of service fee, in dollars
Step-by-step explanation:
Look for words relating to "one time," as that indicates the constant
pLS pls pls pls help me with this:((((((((((((
pls pls:((((((
Answer:
4 = a
5 = a
hope this answer helps you dear!
Answer this middle school math equation for 30 points lol
Answer:
n
Step-by-step explanation:
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
Multiply both sides by -5:
[tex]-\frac{1}{5} (x-4)=-2[/tex]:
[tex]-\frac{1}{5} (x-4)*-5=-2*-5[/tex]
[tex]1(x-4)=10[/tex]
[tex]x-4=10[/tex]
Add 4 to both sides:
[tex]x-4+4=10+4[/tex]
[tex]x=14[/tex]
After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5?
Answer:
After substituting We multiply 5 with 9.
Step-by-step explanation:
Given Expression 5 + ( 9x - 3 ) ÷ 2
5 + ( 9 × 5 - 3 ) ÷ 2
5 + ( 45 - 3 ) ÷ 2
5 + ( 42 ) ÷ 2
5 + 21
26