Answers
Answer: Y=-1/4x
Step-by-step explanation:
A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).
The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).
Putting these two values together we get:
m (slope) = rise / run
m = -1 / 4
Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:
y = (-1/4)x
Related Questions
Can someone please explain this to me and help me
Answers
Answer:
ok
Step-by-step explanation:
A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 100 items, 55 are defective. The lower bound of a 99% confidence interval for the proportion of defectives is ________.
Answers
Answer:
The lower bound of a 99% C.I for the proportion of defectives = 0.422
Step-by-step explanation:
From the given information:
The point estimate = sample proportion [tex]\hat p[/tex]
[tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{55}{100}[/tex]
[tex]\hat p[/tex] = 0.55
At Confidence interval of 99%, the level of significance = 1 - 0.99
= 0.01
[tex]Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576[/tex]
Then the margin of error [tex]E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}[/tex]
[tex]E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}[/tex]
[tex]E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}[/tex]
[tex]E = 2.576 \times0.04975[/tex]
E = 0.128156
E ≅ 0.128
At 99% C.I for the population proportion p is: [tex]\hat p - E[/tex]
= 0.55 - 0.128
= 0.422
Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422
5. Which is the best first step to solve 5x+12x = 40 by completing the square?
A. Subtract 40 from both sides.
B. Divide all terms by 12.
C. Divide all terms by 5
D. Divide 12 by 2
Answers
Answer:
B
Step-by-step explanation:
To make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Which is the best first step to solve 5x²+12x = 40 by completing the square?
A. Subtract 40 from both sides.B. Divide all terms by 12.C. Divide all terms by 5D. Divide 12 by 2We have a quadratic equation:
5x²+12x = 40
To make the perfect square:
First, subtract 40 from both sides.
5x²+12x - 40 = 40 - 40
5x²+12x - 40 = 0
Thus, to make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
Learn more about quadratic equations here:
brainly.com/question/2263981
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find the missing angles
Answers
TEST QUESTION: Jane is making bows for the holidays. One bow requires 23 yard of ribbon. Jane has 13 yards of ribbon. What is the GREATEST number of projects Jane can complete with this ribbon?
Answers
Answer:
this makes no sense she can make any bows
There are 26 letters in the
alphabet. What is the probability
that a letter chosen at random is
not in the word ENCYCLOPEDIA?
Answers
Answer:
1/12 chance
Step-by-step explanation:
Encyclopedia
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The bold letters are the letters in the word Encyclopedia.
Which of the following describes [tex]9x + 3y - 15[/tex]
A: Ratio
B: Equation
C: Inequality
D: Expression
Answers
Answer:
equation
Step-by-step explanation:
obviously!
A math class has 9 girls and 1 boy in the seventh grade and 3 girls and 3 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boy?
Answers
Answer:
10% of choosing a 7th grade boy.
50% of choosing 8th grade boy
Step-by-step explanation:
Answer:
Step-by-step explanation:
prob(boy 7th grade)= 1/10 it is just one boy out of 10 students
prob(boy 8th grade)= 3/6=1/2 there are 3 boys out of 6 students
Prob(both boys)=( 1/10)*(1/2)=1/20
Estimate the cost of 3.2 pounds of apples .The cost of 3.2 pounds of apples is about
Answers
HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE
Answers
Answer:
as x increases, y increses
the parabola grows wider and taller, meaning that the y and x values will both increase:)
Answer:
B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)
WILL GIVE BRAINLIEST. Just fill in the blanks
Answers
Answer:
a) 5
b) 3
c) 1
d) -1
Step-by-step explanation:
Solution Steps:
______________________________
1.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(-1)+3[/tex]
Multiply −2 and −1 to get 2. Add 2 and 3 to get 5. [tex]y=5[/tex]2.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(0)+3[/tex]
Multiply −2 and 0 to get 0. Add 0 and 3 to get 3. [tex]y=3[/tex]3.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(1)+3[/tex]
Multiply −2 and 1 to get −2. Add −2 and 3 to get 1. [tex]y=1[/tex]4.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(2)+3[/tex]
Multiply −2 and 2 to get −4. Add −4 and 3 to get −1. [tex]y=-1[/tex]______________________________
help i asked this 3 times i will do brainliest no troll answers!
Answers
Answer:
Number two
Exact Form:
11/2
Decimal Form:
5.5
Mixed Number Form:
5
1/2
Step-by-step explanation:
sorry I do not know one hope this helps please mark brainliest
Apply the distributive property to create an equivalent expression. 6(3c-5d+6)=
Answers
Answer:
18c - 30d + 36
Step-by-step explanation:
Solve a One-Step Matrix Equation
Solve the matrix equation:
[X1
X2]
+
[-2
5]
=
[8
15]
X1 =?
X2 =?
Answers
Answer: 10 , 10
Step-by-step explanation:
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
What is one-step matrix equation?A matrix equation is an equation of the form Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown.
A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Given one-step matrix equation
[tex]\left[\begin{array}{c}x_{1} &x_{2} \end{array}\right]+\left[\begin{array}{c}-2 &5 \end{array}\right] =\left[\begin{array}{c}8 &15 \end{array}\right][/tex]
By adding the matrix the respective equations are:
[tex]x_{1} +(-2)=8[/tex].....(1)
[tex]x_{2} +(5)=15[/tex].....(2)
By solving [tex]x_{1} +(-2)=8[/tex]
⇒ [tex]x_{1} -2=8[/tex]
Add 2 on the both sides of the equation
⇒ [tex]x_{1}-2+2 =8+2[/tex]
⇒ [tex]x_{1} =8+2[/tex]
⇒ [tex]x_{1} =10[/tex]
Solving equation 2
[tex]x_{2} +(5)=15[/tex]
⇒ [tex]x_{2} +5=15[/tex]
Subtract 5 on both sides of the equation
⇒ [tex]x_{2} +5-5=15-5[/tex]
⇒ [tex]x_{2}=10[/tex]
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
Find out more information about one-step matrix equation here
https://brainly.com/question/11348768
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y = 3x + 3 using a
{-2, 1, 2}
Answers
Answer:
y = 3x + 3 using a
{-2, 1, 2}
Step-by-step explanation:
What is the system of checks and balances designed to ensure?
Answers
Answer:
ensure that no single branch of government would have too much power
Step-by-step explanation:
Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?
Answers
Answer:
40 years old
Step-by-step explanation:
If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.
15 / 3 = 5 years
5 years = 1/8
Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.
5 years * 8 = 40 years old
What should the following equation be multiplied by in order to eliminate the fractions? x/3+x/6=11/9
Answers
Answer:
Multiply by 18
Step-by-step explanation:
Given
[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]
Required
Eliminate the fraction
To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)
This is show below:
List out the multiplies of 3, 6 and 9
[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]
[tex]6 = 6,12,18,24,30...[/tex]
[tex]9 = 9,18,27...[/tex]
The least common multiple is 18.
Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;
See proof
[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]
[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]
[tex]6x + 3x = 11 * 2[/tex]
[tex]6x + 3x = 22[/tex]
The fraction is eliminated
If f(x)=x²-16 is continuous at x = -4, find f(-4).
Answers
Answer:
0
Step-by-step explanation:
f(-4) means x = -4 so then plug -4 into the function.
y = -4²-16
y = 0
Answer:
f(-4) =0
Step-by-step explanation:
f(x)=x²-16
Let x = -4
f(-4) = (-4)^2 -16
= 16-16
= 0
please no fake answers ,I need help:)
Answers
Answer:
A. 2.10b + 12.99 = 21.39; 4 bottles
Step-by-step explanation:
The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.
can i get the answer. If i do I will get into harvard
Answers
Answer:
its ur fault that you did it late
Step-by-step explanation:
but the answer is 2 1/9
Solve.
6x - 28 =-76. X=
Answers
+28 +28
6x = -48
-48 divided by 6
X=-8
Answer:
6x-28+28=-76+28
6x=-48
6x÷6=x
-48÷6 =-8
x=-8
Step-by-step explanation:
correct me or wrong
A jar contains 12 pink, 8 yellow, 6 blue and 10 green jelly beans. If a Jelly Bean is
chosen at random, find each probability as a DECIMAL rounded to the nearest
HUNDREDTHS place.
Answers
Answer:
Pink: 0.33
Yellow: 0.22
Blue: 1.67
Green: 0.28
Step-by-step explanation:
Total of Jelly Beans: 36
Pink: [tex]\frac{12}{36}[/tex] = 0.33
Yellow: [tex]\frac{8}{36}[/tex] = 0.22
Blue: [tex]\frac{6}{36}[/tex] = 1.67
Green: [tex]\frac{10}{36}[/tex] = 0.28
Help please *an image is attached*
Answers
please help I will have to do 7th-grade again if I don't pass I need help
please answer the questions below so I don't fail
it is do tomorrow
Answers
Answer:
number7 9452.425 and number 4 2 hrs
Step-by-step explanation:
85+15 is 100 so to get one hundred percent you alr have 85 but you need to find 15
find what 30percent of 400 it is 120 if hes going 60 mph:
120/60 is 2
so it took him 2 hrs
Helppppppp:))))))).......
Answers
Answer:
y=6 is the correct answer
The LA Dodgers hit the most homeruns in 2014. The number of homeruns accounted for 6% of the entire major League baseball homerun count. If 583 total homeruns were hit, approximately how manu did the LA Didgers hit
Answers
Answer:
35 homeruns
Step-by-step explanation:
583*0.06=349.8-->34.98-->35
Answer:
The LA Dodgers hit 35 homeruns approximately in the league in year 2014.
Step-by-step explanation:
Given that:
Percentage of homeruns hit by LA Dodgers = 6% of the entire League
Total homeruns hit in the league = 583 homeruns
Homeruns hit by LA Dodgers = [tex]\frac{6}{100}*583[/tex]
Homeruns hit by LA Dodgers = 0.06 * 583
Homeruns hit by LA Dodgers = 34.98
Hence,
The LA Dodgers hit 35 homeruns approximately in the league in year 2014.
The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In a bag, there were 137 red Skittles, 39 orange ones, 130 yellow ones, 39 green ones, 43 blue ones and 112 purple ones. Do the Skittles in the bag match the required color distribution?
Answers
Answer:
No
Step-by-step explanation:
Given that:
Percentage of blue, orange and green = 10%
Percentage of yellow, red and purple = 23.3333%
Number of skittles in bag by color :
Red = 137
Orange = 39
Yellow = 130
Green = 39
Blue = 43
Purple = 112
According to the color distribution :
Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.
Total number of skittles :
(137 + 39 + 130 + 39 + 43 + 112) = 500
10% of the total = 0.1 * 500 = 50
Hence,
We should have 50 blue, orange and green skittles
23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)
A 3-pound box of grapes costs $12.00. What is the price per ounce?
Answers
Answer:
$2.64
Step-by-step explanation:
I hoped I could help you!!
hopefully this was a help!!
How to you Simplify x+4-5x-2?
Answers
Answer:
Combine the like terms
-4x+2
Thats it