What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?
Answer:
The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
Step-by-step explanation:
We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.
The equation will be of form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding slope of the line:
Since both the lines are parallel, and we know that parallel lines have same slope.
The slope of given line [tex]5x+4y=16[/tex] can be found by writing in slope-intercept form [tex]y=mx+b[/tex]
[tex]5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16[/tex]
Comparing with [tex]y=mx+b[/tex] the slope m is: [tex]m=-\frac{5}{4}[/tex]
So, the slope of required line is: [tex]m=-\frac{5}{4}[/tex]
Now, finding y-intercept b
y-intercept can be found using slope [tex]m=-\frac{5}{4}[/tex] and point (8,-7)
[tex]y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3[/tex]
So, we get y-intercept: b=3
Now, the equation of required line having slope [tex]m=-\frac{5}{4}[/tex] and y-intercept b=3 is:
[tex]y=mx+b\\y=-\frac{5}{4}x+3[/tex]
So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
Which choice represents a pair of parallel lines?
A. 8x-2y=20 & y= -1/4x+3
B. y=3x+5 & y= 1/3x-2
C. -3x+4y=18 & y= 3/4x+6
D. -3x+4y=16 & y= -3/4x-10
Answer:
A
Step-by-step explanation:
find the difference between 760 and 188
Answer:
572
Step-by-step explanation:
Work :
Clear selection
The cost of groceries is $120.00. The price will be split among several roommates.
What type of variation exists between the cost of groceries per person and the
amount of people involved?
A Direct variation
B Inverse variation
C Neither
D Not enough information
Answer:
B Inverse Variation
Step-by-step explanation:
I think that is the answsr
Answer:
The Correct is B inverse variation
What is the sign of the product (3)(–3)(–2)(4)
Answer:
72
Step-by-step explanation:
brainliest please
The two tables below show the amount of tip ,y, included on the bill charging x dollars
Which companies the slopes of the lines created by the tables
Pleas help
Answer:
B
Step-by-step explanation:
trust
Answer:
B i think???
Step-by-step explanation:
What type of counting problem is this? If Jackson is at the store and can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,
blueberries, and kiwis), how many different collections of fruit can he choose?
a. Combination with repetition
b. Permutation with repetition
c. Combination without repetition
d. Permutation without repetition
Answer:
Combination with repetition
Step-by-step explanation:
This is a combination since the order in which Jackson purchases the fruit does not matter. Repetition is allowed (he’s at the store so he can buy as many as he wants).
The number of different collections of fruit can he choose should be considered when there is Combination with repetition
Calculation of the number of different collections:Since he can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,blueberries, and kiwis)
So here it is the combination because the order where Jackson buy the fruit should not matter. Also, the repetition should be allowed that means he buy as he needs.
Therefore, the first option is correct.
Learn more about number here: https://brainly.com/question/14650093
Evaluate the expression for the given values.
12x+5y3z, where x=12, y = 6, and z = 3
Enter your answer in the box.
Answer: i think 4
Step-by-step explanation:
I WILL GIVE BRAINLIEST (real answers)
Answer:
Answer below
Step-by-step explanation:
Rational:
3.597
74.721
5/2
0
-11
(all the rest are irrational)
HELPPPPPPP PLSSSSSSSSSS
Answer:
B
Step-by-step explanation:
I checked it and it’s right hope this helps!!
Why would the Canadian government be against imposing harsh environmental regulations on mining and timber businesses located in the Canadian Shield?
Answer:
because the pollution created by these industries affects the United States more than Canada
Step-by-step explanation:
SMARTS!!!
The function representing Brent's texting per month is f(m) = 117m + 3. What does the 117 represent?
Answer:
rate of change of rent's texting with respect to the month x
Step-by-step explanation:
This expression is written in the form of equation of a straight line f(x) = mx+c where;
m is the slope of rate of change of the function
c is the y-intercept
On comparing, we will see that the slope of the given equation is 117 which can be represented as the rate of change of rent's texting with respect to the month x
Plz help.For what value of x is line m parallel to line n?
Which of the following is equal to the expression listed above?
A.
(14 + 7) × 12
B.
14 + (7 + 12)
C.
(14 + 7) + (7 + 12)
D.
12 × 14 + 12 × 7
Answer:
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
Step-by-step explanation:
Given
[tex](14 + 7) + 12[/tex] --- [Missing in question]
Required
Select equivalent expression
[tex](14 + 7) + 12[/tex]
Associative property states that:
[tex](a + b) + c = a + (b + c)[/tex]
In this case:
[tex]a = 14[/tex]
[tex]b = 7[/tex]
[tex]c = 12[/tex]
So, we have:
[tex](a + b) + c = a + (b + c)[/tex]
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
B. is correct
To go on a summer trip, Kareem borrows 400$. He makes no payments until the end of 4 years when he pays off the entire loan. The lender charges simple interest at an annual rate of 6%.
prove that the angle sum of any triangle is 180°
If u steal point i report
Answer:
i think the answer is all of them but if its wrong im sry
Step-by-step explanation:
What is the coefficient of y in the expression 3-6 + 4y?
(1 point)
3
4
10
18
How might we know whether X is a positive number negative number or 0 without solving the equation 5x=-16.5
Answer:
Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)
Step-by-step explanation:
How do you do a question like this? 80% as a fraction in simplest form.
Answer correct plz if u steal points ill report
Answer:
Okay look at the graph, at x = 11, the y of the line is between 500 and 450. 500+450=950
950/2=475 so (11,475)
Let's take x=6, the y would then be 600. If x=9, y would be 525. Just try to look at the graph and see from there. Let me know the answer.
10( x + 1) = 2 x-7
Solve For x
Answer:
x = -17/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
10(x + 1) = 2x - 7
Step 2: Solve for x
Distribute 10: 10x + 10 = 2x - 7Subtract 2x on both sides: 8x + 10 = -7Subtract 10 on both sides: 8x = -17Divide 8 on both sides: x = -17/8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 10(-17/8 + 1) = 2(-17/8) - 7Multiply: 10(-17/8 + 1) = -17/4 - 7Add: 10(-9/8) = -17/4 - 7Multiply: -45/4 = -17/4 - 7Subtract: -45/4 = -45/4Here we see that -45/4 does indeed equal -45/4.
∴ x = -17/8 is the solution to the equation.
1.5x + 6(−8 − x) + (12x − 8) ÷ 2, when x = −0.5
Answer:
-51.25
Step-by-step explanation:
tangles)
What is the missing term?
-1
?
-3
5x 25x2 | 15x
5x
+3
A sample of 10 men's GPA in college has sample mean 2.9, and a sample of 10 women's GPA has sample mean 3.1. We also know the GPAs of men and women have the same standard deviation 0.2. Calculate the p value.
Answer:
p-value = 0.02535
Step-by-step explanation:
From the information given:
For men:
The sample size n₁ = 10
The standard deviation s₁ = 0.2
The sample mean [tex]\bar x _1 =[/tex] 2.9
For women:
The sample size n₂ = 10
The standard deviation s₂ = 0.2
The sample mean [tex]\bar x _2=[/tex] 3.1
Using the pooled variance;
[tex]S_i = \sqrt{\dfrac{s^2_1}{n_1} +\dfrac{s^2_2}{n_2} }[/tex]
[tex]= \sqrt{\dfrac{0.2^2}{10} +\dfrac{0.2^2}{10} }[/tex]
[tex]= \sqrt{0.004+0.004 }[/tex]
[tex]= \sqrt{0.008 }[/tex]
= 0.08944
The z-test statistics is computed as:
[tex]z = \dfrac{\barf x_1 - \bar x_2}{S_i}[/tex]
[tex]z = \dfrac{2.9- 3.1}{0.08944}[/tex]
z = - 2.236
The p-value = 2 × P(Z < -2.236)
From the z table;
p-value = 2 × (0.012675)
p-value = 0.02535
The average score of a sample of 87 senior business majors at UTC who took the Graduate Management Admission Test was 510 with a standard deviation of sample 36. Provide a 98% confidence interval for the mean of the population.
Answer:
500.85 to 519.15
Step-by-step explanation:
The computation is shown below;
The z value for the 98% confidence interval is 2.33
Now the margin of error is
= (z × standard deviation) ÷ √n
= (2.33 × 36) ÷ √87
= (83.88 ) ÷ √87
= 83.88 ÷ 9.327379
= 8.99
= 9
Now The confidence interval mean is
= (510 - 9) (510 +9)
= (501) ; (519)
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Answer:
D) 6,-6
hope that helps
The sum of an arithmetic progression A.P.
The sum of an arithmetic progression is
given by the expression:
Sn = n/2 [2a + (n − 1)d]
Where Sn is the sum.
Answer:
S8 = 112
Step-by-step explanation:.
The question is incomplete
Assuming we are given the following
First term a =7
number of terms n = 8.
Common difference d=2
We can find the sum of the first 8terms S8
Substitute the given values
S8 = 8/2[2(7)+(8-1)(2)]
S8 =4(14+7(2))
S8=4(14+14)
S8 = 4(28)
S8 = 112
Hence the sum of the first 8terms is 112
Note that the values are assumed values
What is the statistical decision regarding the differences between the observed and expected frequencies if the critical value of chi-square is 9.488 and the computed value is 6.079
Answer:
Fail to reject.
Step-by-step explanation:
For a goodness of fit test the decision rule is:
If the calculated value of the test statistic is more than the right tailed critical value of chi-square, then the null hypothesis will be rejected.
The hypothesis for a goodness of fit test is:
H₀: There is no differences between the observed and expected frequencies.
Hₐ: There is a significant differences between the observed and expected frequencies.
The computed value of the test statistic is, 6.079.
The critical value of chi-square is 9.488.
Calculated test statistic < Critical value
6.079 < 9.488
Thus, the null hypothesis was failed to rejected.
The area of Mr. Rogers’ field is 3 ⅓ square miles. If the width of the field is ⅔ of a mile, what is the length?
Answer:
Length of Mr. Roger's field = 5 miles
Step-by-step explanation:
Given that:
Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles
Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile
Let,
l be the length of Mr. Roger's field
Area of field = Length * Width
[tex]\frac{10}{3}=\frac{2}{3}l[/tex]
Multiplying both sides by 3/2
[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]
Hence,
Length of Mr. Roger's field = 5 miles