Answer:
k = -9
Step-by-step explanation:
f(x) = 2x²+kx-20
From remainder theorem,
x = 10 and f(10) = 90
f(10) = 90
Subsitute the value of x into the expression above.
f(10) = 2(10²)+10k-20 = 90
200+10k-20 = 90
Solve for k by collecting like terms
10 k = 90+20-200
10k = 110-200
10k = -90
k = -90/10
k = -9.
Hence the value of the constant is -9
As part of a survey, 500 boys were asked to name their favorite car. The results showed that 30 of the boys named a Corvette as their favorite car. What percentage of the boys in the survey named a Corvette as their favorite car?
A-6%
B-0.6%
C-60%
D-40%
Number of accounts managed
by each sales manager at Force Inc.
Box plot
30
40
50
60
70
80
90
100
What percent of sales managers at Force Inc, manage fewer than 35 accounts?
Answer:
Step-by-step explanation:
it is 20493
Victor needs to raise $1500 to travel to Spain with his class. He sells magazine subscriptions for $25 each. Which inequality shows how many magazine
subscriptions, m, Victor must sell to earn enough money for his trip?
PLEASE HELP ME PLEASE PLEASE PLEASE
Answer:
Step-by-step explanation:
l/100 km means liters per 100 Kilometre. How many liters a car need for traveling 100 km.
Km/l means liter per km
Hiiiioo can someone please help me with this!❤️❤️:)
Answer:
7.4 in
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles.
The diagonal is the hypotenuse and the length l is a leg ( adjacent) to angle
Using the cosine ratio in the right triangle
cos22° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{l}{8}[/tex] ( multiply both sides by 8 )
8 × cos22° = l , then l ≈ 7.4 in ( to the nearest tenth )
Helppppp please!!! D:
Find the perimeter of the trapezoid below:
Please no cap!!
Answer:
Step-by-step explanation:
P=a+b+c+d = this is your name ok
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store.
The question is incomplete:
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store. Let x represent the number of televisions and y represent the number of projection systems sold in a given day. Write a system of inequalities that describes what is necessary to obtain the stores goal.
Answer:
The system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
Step-by-step explanation:
According to the information provided, you know that the owner never has more than 25 items total in the store which means that the sum of the amount of televisions and projection systems is less than or equal to 25, which can be expressed as:
x+y≤25, where:
x is the number of televisions
y is the number of projection systems
Also, the statement indicates that the price per television is $475 and the price per projection system is $360 and that the store looks to sell at least $7600 worth of televisions and projection systems per day. This means that the result of adding up the sales of televisions and projection systems should be greater than or equal to 7600:
475x+360y≥7600
The answer is that the system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
Please help and explain please. would appreciate it!
Answer:
area of ΔAPQ = 8 units²
Step-by-step explanation:
since the dimensions are 1/3 size, the area scale factor will be 1/9.
72/9 = 8 units²
Answer:
Step-by-step explanation:
A/4=72/12
A=4(72)/12
A=24 u^2
Please answer I’ll make brainliest
Answer:
1 single foot
you just subtract lol
The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of ANB. Compute the whole number value of 2021 squared -2022The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of A and B. Compute the whole number value of 2021 squared -2020 squared
Question:
The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]
Answer:
[tex]2021^2 - 2022^2 = -4043[/tex]
Step-by-step explanation:
Given
[tex]A^2 - B^2 = (A + B) (A - B)[/tex]
Required
Solve: [tex]2021^2 -2022^2[/tex]
In: [tex]2021^2 -2022^2[/tex]
[tex]A = 2021; B = 2022[/tex]
[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes
[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]
[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]
[tex]2021^2 - 2022^2 = -4043[/tex]
increase 60 by 25% please
Answer:
15
Step-by-step explanation:
Answer:
75 i think...
Step-by-step explanation:
well knowing that 15 is 25% of 60 soooo, 60 + 15 = 75 or...
60 x 25% = 15 then, 60 + 15 = 75
either way is correct...
Which is equivalent to the expression below?
2k + (−3m ) − 6k + 2m
A. −4k + (−2m)
B. −4k + (−m)
C. 4k − 5m
D. 4k − m
Answer:
−4k + (−m)
Step-by-step explanation:
combined like term:
solve for k: 2k - 6k = -4k
solve for m: -3m + 2m = -1m which is -m
combined together the equation: -4k + -m or it can just be -4k - m
Two angles are complementary. The larger one is 3 times the measure of the
smaller one. What is the measure of the smaller angle in degrees?
Type just the numerical value.
Answer: 22.5°
Step-by-step explanation:
Complementary angles are the angles that when we add them together, they're equal to 90°.
Let the smaller angle be represented by x.
Then, the larger one will be 3 × x = 3x
We then add both angles together and equate them to 90°. Therefore,
x + 3x = 90°
4x = 90°
x = 90/4
x = 22.5°
The smaller angle is 22.5°
Write the slope-intercept form of the equation of the line parallel to the
graph of 2x + y = 5 that passes through (0, 1).
Answer:
y = -2x + 1Step-by-step explanation:
2x + y = 5 ← given line
2x + y = C ← any parallel line
The line passing through (0, 1), therefore:
2×0 + 1 = C
C = 1
2x + y = 1 ← the parallel line that passes through (0, 1)
To change it to slope-intercept form we just need to subtract 2x from both sides:
y = -2x + 1
Help meeeee pweaassee!!
Answer:
7. divide both sides by 18.
8. subtract 4 from both sides.
9. add 3 on both sides.
10. multiply by 6 on both sides
Hope that helps! :3
Step-by-step explanation:
16. At a point on the ground 20 feet from the foot of a tree, the angle of
elevation to the top of the tree is 40°. Find the height of the tree. *
Las abejas tienen que hacer 50.000 salidas para obtener 1 quilogramo de miel. ¿Cuántas salidas tendrá que hacer para obtener 5 quilogramos de miel?
Answer:
Tendrá que hacer 250.000 salidas para obtener 5 kilogramos de miel.
Step-by-step explanation:
Con la información proporcionada, puedes usar una regla de tres para calcular cuántas salidas tendrá que hacer para obtener 5 kilogramos de miel dado que las abejas tienen que hacer 50.000 salidas para obtener 1 kilogramo de miel:
1 kilogramo → 50.000 salidas
5 kilogramos → x
x=(5*50.000)/1
x=250.000
De acuerdo a esto, la respuesta es que tendrá que hacer 250.000 salidas para obtener 5 kilogramos de miel.
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
Guided Practice
Write an equation of a line with the given slope and y-intercept.
m = –1, b = –6
A.
y = –x – 6
B.
y = x + 6
C.
y = –6x – 1
Answer: here is the answer
The equation of the line that has a slope of -1 and a y-intercept of -6 is:
y=-1x-6.
Step-by-step explanation: here is the explanation
You want to find the equation for a line that has a slope of -1 and a y-intercept of -6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
All you really have to do here is
replace m with -1, which is the slope you gave, and
replace b with -6, the y-intercept you gave,
in the equation y=mx+b.
The equation of the line that has a slope of -1 and a y-intercept of -6 is:
y=-1x-6.
52/4 + 8z^2
I need help solving this equation?
Answer:
8
2
+
1
3
Step-by-step explanation:
help ASAP please! ill mark u brainliest
Answer:
box and whisker
Step-by-step explanation:
PLEASE HELP!!
Question 1 of 5
Solve the following equation for x using a table of values (nearest fourth of a unit), graphing technology, and successive
approximation (three iterations). The solution lies between x = -2 and x = -1.
x + 3 = 2 (- x - 1)
Select the correct order that shows the least accurate to most accurate method of approximation.
Lowest Accuracy: Table of values: x= -1.5
Intermediate Accuracy: Successive approximations: x-1.5625
Highest Accuracy: Graphing technology: x-1.543
O
Lowest Accuracy: Table of values: X~ -1.5
Intermediate Accuracy: Graphing technology: x -1.543
Highest Accuracy: Successive approximations: x-1.5625
O
Lowest Accuracy: Successive approximations: x= -1.5625
Intermediate Accuracy: Table of values: x-1.5
Highest Accuracy: Graphing technology: x -1.543
o
Lowest Accuracy: Graphing technology: x-1.543
Intermediate Accuracy: Successive approximations: x= -1.5625
Highest Accuracy: Table of values: x-1.5
Answer:
lowest accuracy: Table of values:x=-1.5
intermediate accuracy: successive approximate: x=-1.5625
Highest accuracy: Graphing technology: x=1.543
Step-by-step explanation:
i just did this question
IM MARKING BRAINLIEST
Valerie replaces one car alternator every 1.75 hours. She takes a 1-hour lunch break.
Which equation can be used to determine how many alternators she replaces in 8 hours?
Multiple choice question.
A)
1.75w−1=8
B)
1.75w+1=8
C)
18w−1=8
D)
18w+1=8
Answer:
A)
1.75w−1=8
Step-by-step explanation:
y+7x=5
what is the slope intercept form? y=mx+b
Johan can drive 270 miles on 9 gallons of gas. What is his average mileage?
Hey there!
The correct answer is 30 miles per gallon.
If he can drive 270 miles on 9 gallons, we want to find the unit rate, or miles per gallon. We can do this by dividing 270 by 9. To make it easier, we will take off the zero, and do 27/9, which is 3. Now we add the 0 back on, which gives us 30. Therefore, his average mileage is 30 miles per gallon.
Have a terrificly amazing day! :D
Answer:
30 miles per gallon
Step-by-step explanation:
1. 30 miles per gallon since 360/12 = 30
2. 270 / 9 = 30
i need help on this one its hard for me :(
Answer:
6
Step-by-step explanation:
diameter is double the length of the radius.
d= 2r
d=2(3)
d=6
Answer:
The answer for it is B. 6.
Determine the value of each unknown angles.
HELP PLEASE DO ANY! I’ll give you brilliance
x + 83° = 180°
x = 180° - 83°
x = 97°
Someone Please Help Me!
9514 1404 393
Answer:
discrete
Step-by-step explanation:
"The number of (anything)" means the possible values are counting numbers. The random variable involved is necessarily discrete.
A local hotel has 158 rooms. Due to a scouting event, the entire hotel booked except for two rooms. If the girls scouts are using three times as many rooms as the boy scouts, how many rooms are the boy scouts using?
Answer:
39
Step-by-step explanation:
Let, total rooms girls booked be x and total rooms girls booked be y.
entire hotel was booked except two rooms.
so, total = 158-2 = 156
x+ y = 156
this is equation 1.
also, girls are using three times more room than boys.
so, y=3x
substituting y=3x in 1st equation,
x+ 3x = 156
or, 4x = 156
or, x= 156/4
x= 39
Someone help me ASAP !
Answer:
31
Step-by-step explanation:
