(x² + 4x – 22) + (x + 6)
Answers
Answer:
12
Step-by-step explanation:
Related Questions
the equation y = 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the graph of the equation, and you can find the constan of proportionality.
Answers
Answer:
Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality
If x and y are proportion, then y = k x, where k is the constant of proportionalityThe proportional relationship represented graphically by a line passing through the origin point (0, 0)Let us solve the question
∵ y = [tex]\frac{1}{5}[/tex] x
→ It the same as the form of the proportional equation above
∵ [tex]\frac{1}{5}[/tex] is a constant
∴ y is the product of x and constant
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
Substitute x by 0 to find y and show it represented by a line passing through the origin
∵ x = 0
∴ y = [tex]\frac{1}{5}[/tex] (0) = 0
→ That means point (0, 0) lies on the line which represents the equation
∴ The line which represents this relation is passing through the origin
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
∵ y = kx, k is the constant of proportionality
∵ y = [tex]\frac{1}{5}[/tex] x
∴ k = [tex]\frac{1}{5}[/tex]
∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]
Line a passes through points (-2, 1) and (2,9). Write an equation in slope intercept form that is parallel to line a.
Answers
Answer:
y=ax+9−2a (i think )
Step-by-step explanation:
A straight line is represented by a linear function
The equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]
The points are given as:
(x1,y1) = (-2,1)
(x2,y2) = (2,9)
Calculate the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{9-1}{2--2}}[/tex]
[tex]\mathbf{m = \frac{8}{4}}[/tex]
[tex]\mathbf{m = 2}[/tex]
The equation in slope intercept form is:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 2(x +2) + 1}[/tex]
[tex]\mathbf{y = 2x +4 + 1}[/tex]
[tex]\mathbf{y = 2x +5}[/tex]
Hence, the equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]
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Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.
Answers
Answer:
so looks its an easy one
110 - 39 = 71
71 x 5.75 = 408.25
39 x 3.25 = 126.75
408.25 +126.75 = 535
71 burritos and 39 tacos = 535 dollars
69 burritos
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Tacos sold = 39
Burritos sold = x
Let x be the number Burritos sold
each taco sold for $3.25
each burrito sold for $5.75.
Total sell = $520
Now according to the given question,
39*3.25 + x*5.75 = 520
126.75 + 5.75x = 520
5.75x = 393.25
x = 68.39
x ≈ 69
Therefore, Justin has to sell 69 burritos to meet the requirements.
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7. Identify the reason for each step in the solution.
-
3(x+2) = 2x+3
3x + 6 = 2x + 3
3x + 6 - 2x = 2x +3 - 2x
X+6 = 3
X+6 - 6 = 3-6
x = -3
Answers
Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.
Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:
Distributive Property
The first step applies the Distributive Property,
which states that multiplying a number outside the parentheses by the terms inside the parentheses.
Here, we multiply 3 by (x+2),
3(x+2)
= 3 × x + 3 ×2
= 3x + 6
Combining Like Terms
In the second step, combine like terms on both sides of the equation.
On the left side, we have 3x, and on the right side, we have 2x.
We also have constants 6 on the left side and 3 on the right side.
3x + 6 = 2x + 3
Move Variables to One Side
To solve for 'x', we want all the terms with 'x' on one side of the equation.
Here, move the term with 2x to the left side by subtracting 2x from both sides of the equation:
3x + 6 - 2x = 2x + 3 - 2x
Simplify
On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:
x + 6 = 3
Move Constants to the Other Side
To isolate 'x', we need to get rid of the constant term on the left side.
Subtracting 6 from both sides of the equation:
x + 6 - 6 = 3 - 6
Simplify
On the left side, the +6 and -6 cancel out, leaving us with:
x = -3
Final Solution
After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.
This means that if we replace 'x' with -3 in the equation, it will hold true:
3(-3 + 2) = 2(-3) + 3
-3 = -6 + 3
-3 = -3
And that's why the solution to the equation is x = -3.
Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3
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Divide.
−4 1/3÷−2 3/5
123
145
215
235
Answers
Answer:
1.66666666667
Step-by-step explanation:
teri works as a security guard at the local mall. Teris gross income is $2400. Teri can expect to pay 12% of her gross income for taxes. How much will she pay is taxes for the year.
Answers
Answer:
she is expected to pay $288 in taxes
Step-by-step explanation:
She is expected to pay 12% of $2400, that is: 0.12 * 2400 = 288
So she is expected to pay $288 in taxes for such income.
(4 to the 4th power)to the 3rd power
Answers
Help. Please, I will give you brainliest. Give me the right answers.
Answers
Step-by-step explanation:
[tex] \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}[/tex]
[tex] \sf{\dfrac{5( \fbox{9})}{9} = C}[/tex]
[tex] \sf{ \dfrac{45}{9} = C}[/tex]
[tex] \sf{C = 5 }[/tex]
So,
41° F = [5]°C
5 c
And whatever else I missed I’m sorry I’m just trying to re-write what other people said so they can get brainly
Algebra 1 unit 4 mid quiz
Answers
Explanation. Because the line is dotted, we know it is a > equation. We know that in slope-intercept form, the mx stands for is the slope (rise over run), by looking at the graph, we find that the slope is in fact 3 (or 3/1). For the second part of the equation, we know it’s the y-intercept; therefore, option A is correct because the y-intercept is in fact 2. Hope this helps, let me know if it’s correct so others can use it :)
Good luck.
The inequality that represents this graph is y < 2x + 2.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The dotted line represents strictly less than or greater than.
From the graph, we can conclude that when x = 0, y = 2, and when x = 1 y = 4, and values of y are strictly less.
∴ The inequality that represents this graph is y < 2x + 2.
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JK has endpoints at J(6,-1) and K(-3,-4). If M is the midpoint of JK, approximately what is JM ?
Answers
Answer:
midpoint of J and K = (3/2,-5/2) or (1.5,-2.5)
Step-by-step explanation:
midpoint formula: (((x+x1)/2),((y+y1)/2)))
in this case J(x1,y1), and K(x,y) where J = (6,-1), and K = (-3,-4).
so: (((-3+6)/2),((-4+-1)/2))) = (((3)/2),((-5)/2))) = (1.5,-2.5) or (3/2,-5/2)
Lil baby - It’s too many mothers that grieving they killing us for no reason been going on for too long to get even
Answers
Answer:
[tex]its \: 11.75[/tex]
35.25 divided by 3 equals 11.75.
Answer: $11.75 each hat.
The number of ferryboat trips f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20 To transport the maximum 1000 cars, the ferry makes 125 daily trips, What is the range of the function?
Answers
Answer:
F(C)<250
Step-by-step explanation:
To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.
F(X)=y
We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.
f(C)=C/20
Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.
F(C)<250
:)!
Evaluate - (2-6)(23).
O A. 8
O B.
1
8
Oc.
1
8
D. -8
Answers
Answer:
-92.
Step-by-step explanation:
2 - 6 is -4.
-4 x 23 is -92.
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
A.
-40.85°C
B.
-24.35°C
C.
24.35°C
D.
42.25°
Reset Next
Answers
Answer:
I think that the answer is 24.35 degrees C
Step-by-step explanation:
It says it changed -8.25 so you need to subtract 8.25 from 32.6 to get your answer.
A recipe calls for 3 3/4 cups of flour. How many cups will you need if you are preparing 5 batches of the recipe?
Answers
Answer:
18.75 cups of flour
Step-by-step explanation:
The answer is 18.75 cups of flour as you have to multiply 5 by 3 3/4. The result will be 18.75. Hope it helps!
You need 18 3/4 cups of flour, to make 5 batches of the recipe.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
If one batch of the recipe calls for 3 3/4 cups of flour, then 5 batches of the recipe will require:
5 × 3 3/4 cups
To multiply a whole number by a mixed number, we first convert the mixed number to an improper fraction:
3 3/4 = (4 × 3 + 3) / 4 = 15/4
Now we can multiply:
5 × 15/4 = (5 × 15) / 4 = 75/4
To convert this fraction to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction:
75 ÷ 4 = 18 remainder 3
So, 75/4 is equal to 18 3/4.
Therefore, 5 batches of the recipe will require:
18 3/4 cups of flour.
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Wreh runs laps around a track every day after work. He runs at a constant rate and completes about 12 laps every 18 minutes.
How many minutes does it take Wreh to run 30 laps?
Solve this problem two different ways. Note: cross multiplication will only receive credit as one approach.
Answers
Answer:
It willtake 45 minutes
Step-by-step explanation:
divide 18 by 12= 1.5, so multiply 1.5 by 30
A truck requires 1 gallon of gas to cover a distance of 10 miles. How many gallons of gas will it take to cover 200 miles?
Answers
Answer: 20
Step-by-step explanation:
Answer:
20 gal of gas
Step-by-step explanation:
200÷10=
20
In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: "Should Americans replace passwords with biometric security (fingerprints, etc)?" Among the respondents, 53% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.Number and Proportiona. Identify the actual number of respondents who answered "yes."b. Identify the sample proportion and the symbol used to represent it.
Answers
Answer:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
Step-by-step explanation:
In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Assume that the significance level of the test is, α = 0.05.
The hypothesis can be defined as follows:
H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.
Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.
The information provided is:
[tex]n = 510\\\hat p=0.53[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35[/tex]
The test statistic value is 1.35.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>1.35)[/tex]
[tex]=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088[/tex]
p-value = 0.088 > α = 0.05.
The null hypothesis will not be rejected at 5% significance level.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
An easy way to determine the slope of a roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface. This will give you the slope of the roof.
The slope of the roof shown here is measured with a 12-inch level and a ruler.
What is the slope of the roof in this picture?
Answers
Answer:
7/12
Step-by-step explanation:
m=rise/run
The required slope of the roof is given as 7/12, as per the given conditions.
Given that,
A roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface.
The slope is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Vertical reading of rising measure by a 12-inch level = 7
horizontal reading(run measure) = 12
The slope of the roof is given as,
m = rise/ run
m = 7 / 12
Thus, the required slope of the roof is given as 7/12, as per the given conditions.
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Convert the fraction to a decimal: 1/6 =
Answers
Answer:
1/6 as a decimal is 1.66 or 1.6 repeating.
Yoko made $242 for 11 hours of work.
At the same rate, how much would she make for 7 hours of work?
Answers
Answer:
$154
Step-by-step explanation:
Find the rate per hour as;
if 11 hours =$242
1 hour =?
Perform cross product as:
{$242 *1} / 11 = $22
For 7 hours the amount made will be:
7* $22 = $154
Round 0.051866 to 2 significant figure
Answers
Answer:
your answer would be 0.052
Help math hv 30 minutes
Answers
Answer:
ACD
Step-by-step explanation:
(0,0) shows that the cost is 0 when the weight is 0,
(0.5,2) shows that when the weight is 0.5 pounds the cost is 2 dollars
same concept for D
Please help me if you know the correct answer, thank you
Answers
9514 1404 393
Answer:
Option 3Option 1Option 3Step-by-step explanation:
1. The domain is the horizontal extent of the graph. The domain of the solution space extends to x=8 on the right, with x=8 not included. The appropriate description is ...
(-∞, 8)
__
2. A suitable matrix calculator gives the solution as ...
(2, 5, -2)
__
3. A suitable matrix calculator gives no solution. (The reduced form of the last equation is 0=1. No variable values will make this true.)
If the length
is 3x+2 and the width is X+4. What is the area of a
redangle?
Answers
Answer:
3x+2+x+4=4x+6
Step-by-step explanation:
add all the number with x and also add all the numbers without x and u will get ur answer
so the ans is 4x+6
The sum of two consecutive odd integers is 72 what are the integers
Answers
Since -72 is the sum of two integers, your answer will be approximately -36 and -36 (or ).
4. Changer =
to an equiv-
1 + 2 sin e
alent rectangular equation.
Answers
round 673738 to the nearest ten thousand
Answers
Answer:670000
Step-by-step explanation:
Rounding 673738 to the nearest ten thousand is 670000
The place value of the number 673738 from the right is given below:
8 stands for unit
3 represents tens
7 represents hundreds
3 represents tens thousands
7 represents ten thousands
6 represents hundred thousands
Since the number beside the 7 is 3 and it isn't up to 5, then the number to the nearest ten thousand will be 670000.
In conclusion, rounding 673738 to the nearest ten thousand is 670000.
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I used 1/3 of a bottle of wax to wax 3/4 of a car. How many cars can I wax with one bottle? Please helppp
Answers
Answer:
2.25 cars are waxed with one bottle
Step-by-step explanation:
1/3 * 3 = 1
3/4 * 3 = 9/4
9/4 = 2.25
bc 3/4 divided by 1/3 equals 9/4 which turns into 2 and 1/4
6*? -4=17. Please answer my question
Answers
Answer:
3.5
Step-by-step explanation:
add 4
6x=21
divide by 6
x=3.5