Answers
Answer:
[tex]y=-\frac{3}{4}x+4[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Use two points on the line to find the slope (m)
(4, 1) and (-4, 7)
[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]
y = mx + b
[tex]y=-\frac{3}{4}x+b[/tex]
Now we find b, using either (4, 1) or (-4, 7)
(4, 1)
[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]
[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]
Check your answer using either of the points:
[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]
This statement is true
Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]
Hope this helps!
Related Questions
pls help me to answer this
Answers
Answer:
hi! this is (insert your name) what does this sybol/mathematical term mean?
√
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
Greetings Mrs.(name here)!
I got my recent test back and I was wondering why this question was incorrect.
For #4, I was sure that you had to find the square root and then multiply by pi, but apparently that's not what some people did and they got it correct.
How do I properly do this question?
-*name here*
Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35
Answers
Answer:
D. $43.00x + $466.43 < $1,059.35
Step-by-step explanation:
He has $1,059.35.
The amount of speakers he buys is x.
Each speaker is $43.00, and he is buying one television, which is $466.43.
All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.
Hope this helps!
Answer:
D
Step-by-step explanation:
its $43 each and he wants to buy more than one so that means thats x
that marks out C
so 43.00x +466.43 is less than 1,059.35
I really feel like one of them should have less than/greater than or equal to sign but without I think its D
To estimate the average amount of time it takes a professional football player to run a mile, a sample of 20 players yielded an average time of 6.32 minutes. What is the statistic
Answers
The average amount of time it takes a professional football player to run a mile is = 18.96 seconds
Calculation of the average time of a footballerThe total number of players that made up the sample data = 20
The average time for the whole players was = 6.32minutes.
If 20 players = 6.32 mins
∴ 1 player = ?
Make the unknown the subject of formula,
? = 1 × 6.32/20
? = 6.32/20
? = 0.316 mins
To converted to seconds multiply by 60,
Therefore, 0.316 × 60 = 18.96 seconds.
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Problems Involving Fundamental Counting Principle
1. Patrick wants to buy a computer system. In a computer shop, a customer can choose one of the 4 monitors, one of the 2 keyboards, one of the 4 CPU, and one of 3 printers. Determine the number of possible systems that Patrick can choose from.
2. An ice cream parlor is offering different flavors of ice cream with two kinds of containers available, cone and paper cup. The flavors of their ice cream include cheese, vanilla, mango, and chocolate. What is the total number of possible combinations if a customer can choose a container and 3 flavors of ice cream?
3. Emma has 5 blouses, 3 skirts, and 4 pairs of shoes. In how many different ways consisting of a blouse, a skirt, and a pair of shoes can Emma dress up?
4. Tess, Rina, Rose, Ronnie, Bryan, and Gab are all members of the Student Council. In how many ways can you form a committee of three students?
Problems Involving Probability of Simple Events
5. A letter is to be chosen from the letters of the word EXTRAVAGANT. What is the probability that it is a consonant?
6. An auditor of a club is to be selected from 8 Grade 7, 9 Grade 8, 12 Grade 9, and 5 Grade 10 students. What is the probability that he/she is not a Grade 8 student?
7. A spinner is divided into parts and whose colors are similar to a color wheel. What is the probability that the pointer lands on a secondary color?
8. Slips of paper are numbered 4, 5, 6, …, 34, folded into similar squares and placed in a bowl. If a paper is to be picked at random, what is the probability that the number is a prime number?
Answers
The questions are illustrations of combination and probability
Combination involves the ways of choosing or selecting an item from a group of itemsProbability involves the chance of choosing or selecting an item from a group of items1. Number of systems to choose fromThe given parameters are:
Monitors = 4
Keyboard = 2
CPU = 4
Printer = 3
The number of systems to choose from is:
n = 4 * 2 * 4 * 3 = 96
Hence, Patrick can choose from 96 systems
2. Combination of Ice creamThe given parameters are:
Containers = 2
Flavors = 4
The number of total combination to choose from is:
n = 2 * 4C3 = 8
Hence, the number of total combination is 8
3. Emma dressing upThe given parameters are:
Blouse = 5
Skirt = 3
Shoes = 4 pairc
The number of ways to dress up:
n = 5 * 3 * 4 = 60
Hence, Emma can dress up in 60 ways
4. Members of committeeThe given parameters are:
Students = 6
Members of committee = 3
The number of ways to form a committee is:
n = 6C3 = 20
Hence, there are 20 ways to form the committee
5. Probability of consonantWe have:
Letters = 11
Consonnats = 7
The probability of selecting a consonant is:
P = 7/11
P = 0.636
Hence, the probability of selecting a consonant is: 0.636
6. Probability of not selecting a grade 8 studentWe have:
Total students = 34
Students not in grade 8 = 25
The probability that a student is not in grade 8 is:
P = 25/34
P = 0.735
Hence, the probability that a student is not in grade 8 is 0.735
7. Probability of a secondary colorNot enough details to solve
8. Probability of a prime numberThere are 9 prime numbers in a total number of 31 numbers from 4 to 34.
So, the probability that a number is prime is:
P = 9/31
P = 0.290
Hence, the probability that a number is prime is 0.290
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If fixed costs to print a certain Bible are $15,000 and
variable costs are $25 per Bible, what must be the selling
price to earn $10 per Bible if 5,000 Bibles are printed?
Answers
$35 per bible
Explanation
15,000+25x=?
15,000+25(5,000)=?
15,000+125,000=?
140,000 - minimum price
10•5,000=?
50,000 - the additional cost for profit
125,000+50,000=?
175,000 - the price for production as a whole
175,000/5,000=?
$35 per bible
Or instead of all this work just add the $10 for profit to the $25 for production
The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
What is target profit?The target profit is the profit that is expected by a manufacturer from the sale of its product.
The target profit can be established and used to determine the selling price.
When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.
Data and Calculations:Fixed costs per print = $15,000
Number of Bibles per print = 5,000
Fixed costs per Bible = $3 ($15,000/5,000)
Variable costs per Bible = $25
Expected profit per Bible = $10
The selling price = $38
Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
Learn more about determining the selling price at https://brainly.com/question/1153322
Multiply the binomials:
(3x+4)(5x-2)
Answers
Answer:
15x^2 + 14x - 8.
Step-by-step explanation:
(3x + 4)(5x - 2)
= 3x(5x - 2) + 4(5x - 2)
= 3x*5x + 3x*-2 + 4*5x + 4*-2
= 15x^2 - 6x + 20x - 8
= 15x^2 + 14x - 8.
Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19
Answers
Answer:
substitution or elimination
i need help 9y grade math
Answers
Answer:
17x+7
Step-by-step explanation:
(10x+3)-(-7x-4)
Done!
El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?
Answers
Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
Solve the following linear inequalities given in the first column and choose the appropriate results
Answers
Answer:
[tex]g\geq 17[/tex]
[tex]g > -10[/tex]
[tex]g > -1[/tex]
Step-by-step explanation:
[tex]7(g-19)\geq -14[/tex]
Divide both sides by 7:
[tex]g-19\geq -2[/tex]
Add 19 to both sides:
[tex]g\geq 17[/tex]
[tex]3(7g+17) > -19+14g[/tex]
Expand brackets:
[tex]21g+51 > -19+14g[/tex]
Subtract 14g from both sides:
[tex]7g+51 > -19[/tex]
Subtract 51 from both sides:
[tex]7g > -70[/tex]
Divide both sides by 7:
[tex]g > -10[/tex]
[tex]6(-6g+6) > -2(19g-17)[/tex]
Expand brackets:
[tex]-36g+36 > -38g+34[/tex]
Add 38g to both sides:
[tex]2g+36 > 34[/tex]
Subtract 36 from both sides:
[tex]2g > -2[/tex]
Divide both sides by 2:
[tex]g > -1[/tex]
In the given figure ABC is a triangle in which angle BAC is equal to 30 degree show that BC = the radius of the circumcircle of triangle ABC whose Centre is O.
Answers
Step-by-step explanation:
First, Join OB and OC.
∠BOC = 2∠BAC
(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)
=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)
=> ∠BOC = 60°
In, ΔOBC, OB = OC...(radii of same circle)
∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)
As the sum of angles of a traingle is 180°,
∠OBC + ∠OCB + ∠BOC = 180°
∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)
2∠OBC = 120° => ∠OBC = 60°
Thus, we have ΔABC such that,
∠BOC = ∠OBC = ∠OCB = 60°
ΔOBC is an equilateral triangle
BC = OB i.e. BC is equal to the radius of circle.
Hence proved...Hope it helps you!!PLEASE HELP
Henry bought snacks for his team's practice. He bought a bag of chips for $2.25 and a 5-pack of juice bottles. The total cost before tax was $9.95. How much was each bottle of juice?
Answers
The bag of chips for $2.25 and a 5-pack of juice bottles each bottle of juice costs $1.54.
Let's break down the information given in the problem:
Henry bought a bag of chips for $2.25.
He also bought a 5-pack of juice bottles.
The total cost before tax was $9.95.
Let's represent the cost of each bottle of juice as "x" dollars.
The total cost of the chips and the juice bottles is given as $9.95. So, we can write the equation:
Cost of chips + Cost of 5 juice bottles = Total cost
$2.25 + 5x = $9.95
Now, we can solve for the value of "x" (the cost of each bottle of juice):
5x = $9.95 - $2.25
5x = $7.70
Dividing both sides by 5:
x = $7.70 / 5
x = $1.54
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Alyssa had two hundred 95 dollars to spend on 9 books.
After buying them she had 16 dollars. How much did
each book cost?
Answers
Answer:
$31
Step-by-step explanation:
295 minus 16 is 279
that's how much they were all together
and divide 279 by 9 and you get 31
50 POINTS!
3. Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 *
1 point
30th percentile = 105 90th percentile = 200
30th percentile = 113 90th percentile = 200
30th percentile = 105 90th percentile = 176
Answers
Answer:
30th percentile = 105 90th percentile = 176
Step-by-step explanation:
Arrange the data set in order from smallest to largest:
100, 100, 105, 113, 129, 132, 146, 152, 176, 200
30th percentile
r = number of data values = 10
q = percentile = 30
q/100 = 30/100 = 0.3
q/100 × r = 0.3 × 10 = 3
Therefore, count the 3rd number in the ordered set.
⇒ 30th percentile = 105
90th percentile
r = number of data values = 10
q = percentile = 90
q/100 = 90/100 = 0.9
q/100 × r = 0.9 × 10 = 9
Therefore, count the 9th number in the ordered set.
⇒ 90th percentile = 176
30th percentile = 105, 90th percentile = 176
Explanation:
data {129, 113, 200, 100, 105, 132, 100, 176, 146, 152}
arrange in ascending order:
{100, 100, 105, 113, 129, 132, 146, 152, 176, 200}
30th percentile: 10590 th percentile: 176
x= degrees 32° x x
Answers
Answer:
32 +x+x=180(Sum of angles of a triangle)
32+2x=180
2x=180-32
2x=148
x=148/2
Therefore,X=74
Answer:
the answer for x is 74°
Step-by-step explanation:
[tex]32 + x + x = 180 \\ 2x + 32 = 180 \\ 2x = 180 - 32 \\ 2x = 148 \\ x = 74 \: degrees[/tex]
Plis somebody help me with this
Which table represents a relationship that is not a function?
Answers
Answer:
T is not a function.
Step-by-step explanation:
The definition of a function is a relationship where only one x value has a specific y value. So if an x-value has more than one y value, it is not a function due to its rule. This can also be checked by using a graph, graphing the function, and checking if it fits the vertical line test.
We see all of them work except T, where 2 x values are stated that are the same but have different y values.
So T is not a function.
I hope this helped!
It would be greatly appreciated if you marked this answer as brainliest!
There are 126 students in theater at a school. On a certain day, 94 of the students in choir went on a field trip. What percent of student stayed at school instead of going on the field trip? Round to the nearest whole percent.
Answers
Answer:
Step-by-step explanation:
First find the number of students who stayed home.
# students who stayed home = Total number - the choir members.
Total number = 126
Choir members = 94
Stay at homes = 126 - 94 = 32
Formula
Stay at home % = (32 / 126) * 100
Stay at home %= 0.25397 * 100
Stay at home % = 25.397
To the nearest whole %, the answer is 25
Answer:
126/94 = 1.34
1% of the students stayed at school
Step-by-step explanation:
Which choice is the solution to the inequality below?
9x< 72
O A. x < 63
B. X8
C. x<8
O D. xs2
Will mark brainliest
Answers
In order to solve this inequality, we should divide both sides by 9:-
[tex]\sf{9x < 72}[/tex]
Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.
[tex]\sf{x < 8}[/tex]
Hence, that's the solution to the inequality.
It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)
(Option C is correct :) )
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
x < 8
solving steps:
9x < 72x < 72/9x < 8Word problem. Help please!!
Answers
Answer:
I'm not 100% sure but I think it is 200.96 in (201 in if rounded)
Step-by-step explanation:
Answer:
200.96 inches squared
Step-by-step explanation:
The radius of the pizza is 8(half of the diameter).
The formula for are of a circle is pie*radius^2.
So you would do 3.14 * 8^2.
8^2 is equal to 64.
Your new equation is 3.14 * 64, which equals 200.96.
The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% discount .Find the profit percent.
Note: Please show the process and explain as well.
Answers
Answer: 13%
Step-by-step explanation:
Step 1:
5000
10% of 5000=500
5% of 5000=250
25%=500+500+250= 1250 rupees
so...
5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED
but..
They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find 15%, because 25%-10%=15%
so if...
10%=500
5%=250
15%=750 INR
this means the price with the 10% discount off 25%= 4250 INR (5000-750)
now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added
e.g 4250-3750= 500INR
Then.. divide this price with the original price before the 25% was added
e.g 500/3750= 2/15=0.13
So...
Convert 0.13 into a percentage=13%
The PERCENTAGE PROFIT of the owner is 13%
P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you
1. Total Value of the Burgers
2. Cost of Fries per order
3. Quantity of the sodas ordered
4. Total Value of the Salad
5. Cost of Salad per order
Formula:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Answer:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Answers
Step-by-step explanation:
1) 35×23 = 805
2) 800/40=20
3)170/10=17
4) 2000-805-800-170=225
5)225/15=15
Hence answers
1)805
2)20
3)17
4)225
5)15
Emilio's Publishing prints and sells cookbooks to stores for $4.50 each. Their weekly profits can be modeled by the quadratic function P(x) = −0.1x2 + 15x + 120, where P(x) is profit and x is the number of $0.05 price increases. Use the graph to answer the question.
Graph of function p of x equals negative 0.1 x squared plus 15 x plus 120. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 120), increases to (75, 682.5), and decreases through (157.614, 0).
Approximately what amount should the company sell each cookbook for to maximize profit? (1 point)
$8.25
$9.50
$10.20
$17.00
Answers
Using the vertex of the quadratic equation, it is found that the profit will be maximized when each cookbook is sold for $8.25.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is modeled as follows, considering x as the price divided by $0.05.
P(x) = -0.1x² + 15x + 120.
The coefficients are a = -0.1 < 0, b = 15, c = 120, hence the x-value of the vertex is given by:
[tex]x_v = -\frac{15}{2(-0.1)} = \frac{15}{0.2} = 75[/tex]
75 increases of $0.05, hence the price will be of:
4.5 + 75 x 0.05 = $8.25.
Hence, the profit will be maximized when each cookbook is sold for $8.25.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
help me please
find value of x and y
Answers
Answer:
Below in bold.
Step-by-step explanation:
The triangle ABC is a right triangle as BCD is a tangent.
So m < y = 90 - 30 = 60 degrees
The angle at the centre O = 2*30 = 60 degrees (angle subtended at centre theorem)
m < x = 180 - 90 - 60 = 30 degrees
Step-by-step explanation:
y = 60
x= 30
these are the answer s
Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?
Answers
help 8 th grade math
Answers
Answer:
6 is A
Step-by-step explanation:
-5 x -4 = 20
-5 x 7x = -35x
Find the distance between the points!? Help
Answers
Answer:
3\sqrt(5)
or 6.71
Step-by-step explanation:
The Ferris wheel shown makes 14 revolutions per ride. How far would someone travel during one ride? Round your final answer to the nearest whole number. Use 3.14 for π.
diameter 67 feet
Someone would travel about
feet during one ride on the Ferris wheel.
Answers
Answer:
2,945 feet
Step-by-step explanation:
Find the circumference.
C = dπ
C = 67(3.14)
C = 210.38
Since there are 14 revolutions, multiply the circumference by 14.
210.38 x 14 = 2945.32
Round
2,945
If B is the midpoint of AC, and AC=8x-20,find BC
Answers
Answer:
BC = 0.5 * AC
Step-by-step explanation:
Since B is the midpoint
What is the volume in cubic inches
Answers
Answer:
80 cubic inches
Step-by-step explanation:
Hey there!
In order to find the volume, you need to split this shape in two parts
We are going to take the big rectangle and the small rectangle as our two shapes
The bigger rectangle has dimensions 5.5 x 6 x 2 which is 66 cubic inches
So now we need to get the volume of the smaller rectangle which has the dimensions: 2x2x3.5 which is 14 cubic inches
Now we add both volumes
66+14 is 80
So the total volume is 80 cubic inches
Work-
7.5•3.5•2=52.5
5.5•2.5•2=27.5
52.5+27.5=80
what the answer to 24/3/7/5=
Answers
Answer:24/3/7/5 = 8/ 35 ≅ 0.2285714
Step-by-step explanation:
Divide: 24/3: 7 = 24/3· 1/7
= 24 · 1/3 · 7
= 24/21
= 3 · 8/3 · 7= 8/7
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 7/1 is 1/7) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 8/
7
.
In other words - twenty-four thirds divided by seven = eight sevenths.
Divide: the result of step No. 1 : 5 = 8/7 : 5 = 8/7 · 1/5
= 8 · 1/7 · 5
= 8/35
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/1
is 1/5
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight-sevenths divided by five = eight thirty-fifths.
