Answers
Answer:
[tex]y=-4\,x-4[/tex] which agrees with answer "A" in the list of possible options
Step-by-step explanation:
From the fact that there is a steady rate of increase in the x and in the respective y values (notice that x increases in steps of 1 unit, and at the same time y values increase in steps of "-4" units) the data belongs to the equation of a line.
We can determine that equation using just two pairs of points, like for example (-1, 0) and (0, -4).
We first find the slope using the slope formula for the segment that joints any two points on the plane:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-4-0}{0-(-1)}\\slope = -4[/tex]
we now write the slope-intercept general form of a line with slope "-4", and solve for the intercept by using the point (0,-4) which should be in the line:
[tex]y=m\.x+b\\y=-4\,x+b\\-4=-4\,(0)+b\\b=-4[/tex]
Therefore the equation for this points is:
[tex]y=-4\,x-4[/tex]
Related Questions
What is the slope of the line passing through the points (1, 2) and (5, 4)?
−2
1/2
2
1
Answers
Answer:
The answer would be 1/2
Please help me answer these e questions pleasesssss
Answers
Answer:
4) 8^14
7) h^7
10) 29^8 over 10^8
Step-by-step explanation:
If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.
Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7
The bases are the same so just add the exponents, 7 plus one is 8.
(-2.9)^8
Convert it into a fraction: -(29/10)^8
Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8
Hope this helps :)
8¹⁴
Step-by-step explanation:
4.) 8¹⁰×8⁴
=8 to the power (10+4)
=8¹⁴
7.) h⁶xh¹
=h to the power (6+1)
=h^7
10.) (-2.9)^1×(-2.9)^7
=(-2.9)^7+1
=(-2.9)^8
To create an image, Figure C is going to be translated 2 units to the left, reflected across the y-axis, and rotated 270° clockwise about the origin. What must be true about Figure C and its image?
Answers
Answer:
BRO THE IMAGE FORMED IS CONGRUENT
Step-by-step explanation:
Answer:
They are congruent
Step-by-step explanation:
Figure C will still stay the same shape and size because there was no dilation involved in the process. The image of Figure C will be in quadrant 1 and rotated 270° clockwise. Congruent means it is the same shape and size. So our answer is "They are congruent".
The average weight of 7 potted plants is 23 pounds. An 8th potted plant is added to the pallet,
and the average weight increases to 25 pounds. What was the weight, in pounds, of the 8th
plant?
Answers
Answer:
The weight of the 8th plant is 39lb
Step-by-step explanation:
Given:
Average Weight of 7 plants = 23lb
Average Weight of 8 plants = 25lb
Required:
Weight of the 8th plant
To solve this, the total weight of the initial 7 plants need to be calculated;
[tex]Average = \frac{Sum-of-weights}{Number-of-Plants}[/tex]
Substitute 23 for Average and 7 for Number of plants
[tex]23 = \frac{Sum-of-weights}{7}[/tex]
Multiply both sides by 7
[tex]7 * 23 = \frac{Sum-of-weights}{7} * 7[/tex]
[tex]161 = Sum-of-weights[/tex]
Hence, the 7 plants weigh 161
Represent the weight of the 8th plant with E
When the 8th plant is added;
The sum of the weight becomes 161 + E
And the number of plants becomes 8
The average is calculated as thus
[tex]Average = \frac{Sum-of-weights}{Number-of-Plants}[/tex]
[tex]25 = \frac{161 + E}{8}[/tex]
Multiply both sides by 8
[tex]8 * 25 = \frac{161 + E}{8} * 8[/tex]
[tex]200 = 161 + E[/tex]
Subtract 161 from both sides
[tex]200 -161 = 161 - 161 + E[/tex]
[tex]39 = E[/tex]
Reorder
[tex]E = 39[/tex]
Hence, the weight of the 8th plant is 39lb
Select the correct answer.
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
Answers
Answer:
b
Step-by-step explanation:
solve for slope. (-2,7) (-1,6)
Answers
Answer:
m = - 1/3
Thats the answer.
Step-by-step explanation:
The sum of three consecutive even integers is -264. List the numbers from smallest to largest:
Answers
Answer:
-87, -88, -89
Step-by-step explanation:
first divide -264 by 3 this will give you the middle number. To find the first number subtract 1 from the middle number and to find the third number add 1 to the middle number.
What is the solution to the linear equation? x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x x = –5 x = –negative StartFraction 1 Over 6 EndFraction x = StartFraction 1 Over 6 EndFraction x = 5
Answers
Your question is not well presented
Question:
What is the solution to the linear equation?
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Answer:
[tex]x = \frac{-5}{3}[/tex]
Step-by-step explanation:
Given
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Required
Simplify
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]x - \frac{2}{3}x - \frac{1}{2} + \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
[tex]x - \frac{2}{3}x = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
Subtract [tex]\frac{5}{6}x[/tex] from both sides
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{5}{6}x + \frac{1}{2} - \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2} + \frac{5}{6}x- \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2}[/tex]
Take LCMs
[tex]\frac{6x - 4x -5x}{6}= \frac{2+3}{6}[/tex]
[tex]\frac{-3x}{6}= \frac{5}{6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{-3x}{6}= \frac{5}{6} * 6[/tex]
[tex]-3x= 5[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}= \frac{5}{-3}[/tex]
[tex]x = \frac{5}{-3}[/tex]
[tex]x = \frac{-5}{3}[/tex]
Answer:
x=-5
Step-by-step explanation:
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Question 3 options:
A)
f(t) = 67(.70)t
B)
f(t) = 70(67,000)t
C)
f(t) = t(.70)67,000
D)
f(t) = 67,000(.70)t
Answers
Answer:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Step-by-step explanation:
This is an exponential function:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Simplify (4p^3)(-4p^4)
Answers
Answer:
-16p⁷
Step-by-step explanation:
(4p³) (-4p⁴)
4 times -4 is -16. p³ times p⁴ is p⁷.
-16p⁷
Answer:
4p^3=12p
-4p^4=-16p
12p-16p=-4p
hope this helps
help again please thank you
Answers
Answer:
1) False
2) True
3) False
4) True
5) True
6) False
7) True
8) True
Answer:
The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.
Step-by-step explanation:
To start a taco food truck service, a woman borrowed $7,500. If the loan was for 5 years and the amount of interest was $3187.50, what simple interest rate was she charged?
Answers
Answer:
The interest rate was 42.5%.
Step-by-step explanation:
what is the difference between -17 and -7
Answers
Answer:
-10 or 10
Step-by-step explanation: I think its 10 but if its not it will probally be -10 i'm sorry if both of these are wrong. take care :) .
Answer:
-10 or 10
Step-by-step explanation:
-17
-07
-10
I have no idea how to do this.. help?
Answers
Answer:
add
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
Remember y=mx+b and the intercept is 5. Then we do rise over run. Which is 2/3. So it think:y=2/3+5. Please correct me if i am wrong. Hope this helps.
The mean annual salary paid to all employees in a company was 1500 Kenya pounds The mean annual salaries paid to male and female employees were 1560 Kenya pounds and 1260 Kenya pounds respectively. Determine the percentages of males and females employed by the company.
Answers
Answer:
[tex]Male = 80[/tex]%
[tex]Female = 20%[/tex]%
Step-by-step explanation:
Given
Annual Mean Salary = 1500
Annual Mean Salary (Male) = 1560
Annual Mean Salary (Female) = 1260
Required
Percentage of male and female employed
Represent male by m and female by 4
So, total employees = m + f
The mean of an observation is calculated as thus;
Mean = Summation of observation divided by number of observations
For Male:
Annual Mean = Total Salary/Number of males
Recall that Annual Mean = 1560
Number of males = m;
The formula becomes
[tex]1560 = \frac{TotalSalary}{m}[/tex]
Multiply both sides by m
[tex]1560 * m = \frac{TotalSalary}{m} * m[/tex]
[tex]1560m = TotalSalary[/tex]
For Female:
Annual Mean = Total Salary/Number of females
Recall that Annual Mean = 1260
Number of females = f;
The formula becomes
[tex]1260 = \frac{TotalSalary}{f}[/tex]
Multiply both sides by f
[tex]1260 * f = \frac{TotalSalary}{f} * f[/tex]
[tex]1260f = TotalSalary[/tex]
Total Annual Salary = Annual Salary of Male + Annual Salary of Female
Total Annual Salary = 1560m + 1260f
The mean annual salary is calculated as thus;
Mean Annual Salary = Total Annual Salary/Total Employees
Recall that Total Employees = m + f and Mean Annual Salary = 1500
So, the formula becomes
[tex]1500 = \frac{1560m + 1260f}{m+f}[/tex]
Multiply both sides by m + f
[tex]1500(m+f) = \frac{1560m + 1260f}{m+f} * (m+f)[/tex]
[tex]1500(m+f) = 1560m + 1260f[/tex]
Open brackets
[tex]1500m+1500f- = 1560m + 1260f[/tex]
Collect like terms
[tex]1500f -1260f = 1560m - 1500m[/tex]
[tex]240f = 60m[/tex]
Divide through by 60
[tex]\frac{240f}{60} = \frac{60m}{60}[/tex]
[tex]4f = m[/tex]
Reorder
[tex]m = 4f[/tex]
At this point, the percentage male and female can be calculated;
Male = (Number of male/Total Employees) * 100%
[tex]Male = \frac{m}{m+f} * 100[/tex]%
Substitute 4f for m
[tex]Male = \frac{4f}{4f+f} * 100[/tex]%
[tex]Male = \frac{4f}{5f} * 100[/tex]%
[tex]Male = \frac{4}{5} * 100[/tex]%
[tex]Male = 0.8 * 100[/tex]%
[tex]Male = 80[/tex]%
If percentage of male = 80%
Percentage of Female = 100% - 80%
[tex]Female = 20%[/tex]%
Find the value of x.
Answers
Answer:
x=1
Step-by-step explanation:
7 times 1 is 7 minus 1 is 6
2 times 1 is 2 minus 1 is 1
6 plus 1 is 7
you have to substitute the one
Please write a Complete answer.
Answers
Answer:1. 8.6 2. 9.4 3.8.5
Step-by-step explanation:
Answer: The first puppy would weigh: 8.6 ounces
The second puppy would weigh: 9.4 ounces
The third puppy would weigh: 8.5 ounces
Step-by-step explanation: The puppies weights were 6.5, 7.3, and 6.4 respectively. The question says each puppy gained 2.1 ounces
So just add 2.1 to each of the puppies weights:
6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1+8.5
Hope this helps :)
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction
form)
Answers
Answer: Yes
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a circle = π r^2
Reamed hole area = π 0.278^2= 0.242794846
Pin Area: π ([9/32]/2)^2= 0.062126221
Diameter = 2 radius
Radius = diameter/2
Since
Hole Area > pin area
The pin will fit into the reamed hole.
Feel free to ask for more if needed or if you did not understand something.
Solve (x + 1)2 - 4(x + 1) + 2 = 0 using substitution.
U
4(x +1)
x +1
(x + 1)2
Answers
Answer:
u=x+1
u2-4u+2=0
-2u+2=0
u=1=x+1
x=0
Step-by-step explanation:
which is the discriminant of the quadratic equation 6x^2 + x -8=0?
Answers
Answer:
0?
Step-by-step explanation:
5(6x + 9) + (2x + 8)
Answers
_________________________________
Hey!!
Solution,
5(6x+9)+2x+8
= 30x+45+2x+8
= 30x+2x+45+8
=32x+53
Hope it helps
Good luck on your assignment
______________________________
Answer:
32x + 53
Step-by-step explanation:
To simplify this expression, perform the indicated multipliplication, using the Distributive Property, and then combine like terms:
30x + 45 + 2x + 8
becomes:
32x + 53
Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why?
Answers
Answer:
m= 20 because the rate of change is -3.
Answer:
The answer is D
a= 20 because the rate of change is -3
Step-by-step explanation:
edg 2022
Bill needs to edge his yard with the dimensions in the shape below. What distance will he have walked after completing his edging? Round your answer to one decimal place. Do not include units in your answer.
Answers
Answer:
37.8
Step-by-step explanation:
The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m
Using Pythagorean theorem:
d² = h² + b²
d² = 5² + 3²
d = √34
d = 5.8 m
Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters
How to Find the domain and range for graphs
Answers
Answer:
domain: possible x values
range: possible y values
Step-by-step explanation:
A rental car agency charges $ 220.00 per week plus $ 0.15 per mile to rent a car. How many miles can you travel in one week for $ 355.00?
Answers
Answer:
[tex]x=900[/tex]
Step-by-step explanation:
Read the problem carefully and figure out where it says plus and where it says per. Per implies multiplication. Plus is addition.
220+0.15x
To solve, plug in 355 for the answer and back solve for x.
[tex]355=220+0.15x\\\mathrm{Switch\:sides}\\220+0.15x=355\\\mathrm{Multiply\:both\:sides\:by\:}100\\220\cdot \:100+0.15x\cdot \:100=355\cdot \:100\\22000+15x=35500\\\mathrm{Subtract\:}22000\mathrm{\:from\:both\:sides}\\22000+15x-22000=35500-22000\\15x=13500\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{13500}{15}\\x=900\\[/tex]
Answer:
900
Step-by-step explanation:
math
giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 62 cm2
B) 147 cm2
C) 188 cm2
D) 260 cm2
Answers
Answer:
B
Step-by-step explanation:
34 + 36pi = 147
Which of the given line segments is congruent to AB?
Answers
Answer:
VW
Solution:
VW is congruent to AB, because they have the same length.
The line segment VW is congruent to AB.
What are congruent line segments?A pair of line segments are said to be congruent when the lengths of both the line segments are equal.
How do we solve the given question?To solve the given question, we compare each line segment with AB to find its congruent pair.
PQ: PQ > AB, so its not congruent to AB.RS: RS < AB, so its not congruent to AB.TU: TU < AB, so its not congruent to AB.VW: VW = AB, so its congruent to AB.∴ We can say that VW is the line segment congruent to AB.
Learn more about congruent line segments at
https://brainly.com/question/1561015
#SPJ2
In the spinner below, what is the probability of landing
on 6?
A. 1/4
B. 1/8
C. 1/3
D. 1/6
Answers
Answer:
1/4
Step-by-step explanation:
There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections
The section with a 6 in it is a double size section so it counts as 2 sections
P(6) =number of sections with a 6/ total sections
=2/8
=1/4
Answer:
1/4
Step-by-step explanation:
A
What is the ratio of x to y? (Write it in simplest form)
Answers
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation:
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=2x,BC=x−2,AC=28
Answers
Answer:
x = 10
Step-by-step explanation:
Data
AB=2xBC=x−2AC=28Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:
AB + BC = AC
Replacing with data:
2x + (x - 2) = 28
3x - 2 = 28
3x = 28 + 2
x = 30/3
x = 10