Answer:
HCF of following polynomial expression is x
The equation
24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.
What is the value of a?
A) -16
B) -3
C) 3
D) 16
Answer:
Either A or C I think, Good luck!!!
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
24x2+25x−47=(−8x−3)(ax−2)−53
then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The final answer is B.
which is the best approximation of square root of 51
a 5.9
b 5.3
c 9.2
d 7.1
need answer asap
Answer: Answer is D.
Step-by-step explanation:
Answer:
d 7.1Step-by-step explanation:
Use a calculator
Given: x-5>-2.
Choose the solution set.
O {XIXER,X > -7)
OxIXER, x>-3)
O {XIXER, x > 3)
O XIXER,X>7)
Answer:
The solution set is {x : x ∈ R, x > 3} ⇒ C
Step-by-step explanation:
The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}Let us solve the question
∵ x - 5 > -2
→ Add 5 to both sides of the inequality
∴ x - 5 + 5 > -2 + 5
∴ x > 3
→ By using the first rule above
∴ The solution set is {x : x ∈ R, x > 3}
A family bought a total of 32 adult and child tickets to eat at the dining hall.
Adult tickets are $21 each and children are $15 each.
The family paid a total of $282
Write an equation to model the total number of tickets sold.
Write an equation to model the cost of tickets sold.
How many of adult tickets, “x” and child tickets, “y” did they buy?
Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Dr. Stevens mixed 10.357 grams of chemical A, 12.062 grams of chemical B, and 7.506 grams of chemical C to make 5 doses of medicine. a. About how much medicine in grams? Estimate the amount of each by rounding to the nearest tenth of a gram before finding the sum. Show your thinking. b. Find the exact amount of medicine mixed by Dr. Stevens. c. What is the difference between the exact amount and the estimated amount of medicine? d. How many grams are in one dose of medicine? Explain your strategy for solving.
Answer:
A. 29.93 grams
B. 29.925 grams
C. 0.005 grams
D. 5.985 grams per dose
Step-by-step explanation:
Chemical A = 10.357 grams
Chemical B = 12.062 grams
Chemical C = 7.506 grams
Number of doses of drugs = 5
A. About how much medicine in grams
Round each chemical to the nearest tenth
Chemical A = 10.36 grams
Chemical B = 12.06 grams
Chemical C = 7.51 grams
Total medicine in grams = chemical A + chemical B + chemical C
= 10.36 + 12.06 + 7.51
= 29.93 grams
B. Find the exact amount of medicine mixed by Dr. Stevens.
Total medicine in grams = chemical A + chemical B + chemical C
= 10.357 + 12.062 + 7.506
= 29.925 grams
C. What is the difference between the exact amount and the estimated amount of medicine
Difference = Estimated amount - Exact amount
= 29.93 grams - 29.925 grams
= 0.005 grams
D. How many grams are in one dose of medicine?
Grams in a dose = exact amount of chemicals / 5 doses
= 29.925 grams / 5
= 5.985 grams per dose
Approximately 5.99 grams per dose
Write an equation of the line in slope-intercept form.
f(0)=9, f(2)=4
Answer:
f(x)=-[tex]\frac{5}{2}\\[/tex]x+9
Step-by-step explanation:
Use the slope formula and slope intercept formula form y=mx + b to find the equation
A contractor brought 12.6 ft.² of sheet metal. She had used 3.7 ft.² so far and has $267 Worth of sheet metal remaining. The equation 12.6 X -3.7 X equals 267 represent how much sheet metal germinating in the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
12.6x - 3.7 x= 267
8.9x = 267
x= 267/8.9=30
x= per square foot charge = 30 $
Please help and explain!!!
Traveling with the wind, Jerry takes 10 minutes to bike to the local library. Traveling against the wind, it takes him 15 minutes. The library is 2.5 km away. What is Jerry's bicycling speed in still air?
Answer:
[tex]0.2\ km\ per\ minute[/tex]
Step-by-step explanation:
[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]
[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]
PLEASE HELP 20 points!!!6) Find the inverse function. Use f-1(x) to indicate the inverse function and 5 points
parenthesis for the numerator, if needed. Example: f-1(x)=(x+7)/5 *
f(x) = 4x - 2
Your answer
Answer:
Step-by-step explanation:
ANSWER: 16x+=92
10m^5n^4/15m^2? Can someone help me
Answer:
2m^7n^4/3
Step-by-step explanation:
What are the coordinates of point (-2, 4) after a 180 degree rotation?
Answer:
(2,-4)
Step-by-step explanation:
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
find the slope of the line through (9,0) and (3,8)
Answer: 4/-3
Step-by-step explanation:
Slope (m) = ΔY /ΔX = 4 /-3
ΔX = 3 – 9 = -6
ΔY = 8 – 0 = 8
The product of 15 and a number x is −75.
Answer:
the solution is in the figure
the number is -5
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the
Answer:
15 ounces per box
Step-by-step explanation:
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
Total weight of crackers in the boxes = 165 ounces
Total number of boxes = 11 boxes
What is the weight, in ounces, of one box?
Weight per box of crackers =
Total weight of crackers in the boxes / Total number of boxes
= 165 ounces / 11 boxes
= 15 ounces per box
The weight, in ounces, of one box is 15 ounces
PLEASE HELP URGENT 15 POINTS
Step-by-step explanation:
I guess its 1/3 ??........
The table shows the derivation of tan(2x). Select the correct reason for each step.
Reason 1 is:
Reason 2 is:
Reason 3 is:
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent sum identity
Reason 3 is: Simplify
Step-by-step explanation:
I just did it on edge 2020
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent sum identity
Reason 3 is: Simplify
Step-by-step explanation:
Estimate 40% of 128
Please help :c
Answer:
51.2 is 40% of 128
Step-by-step explanation:
Answer:
76.8
Step-by-step explanation:
128 x .40 = 51.2
128 - 51.2 =76.8
у = 3х – 2
y = — 2х +8
How do I solve it by graphing?
A pair of fair dice is thrown.what is the probability of obtaining a sum of
A) At least 8
Answer:
[tex]p(e) = \frac{5}{36} [/tex]
Step-by-step explanation:
A dice contains numbers from 1 to 6.
Number whose sum is 8
2 and 6
3 and 5
4 and 4
5 and 3
2 and 6
When two dice is thrown, There are 36 possibilities {6(from the first dice) × 6(from the second dice)}.
Probability of obtaining a sum of 8 is 5/36.
Lori scored 26 points in the game. This was 2 less than four times the number of points Ben scored. Which equation can be used to find, b, the number of points Ben scored?
Store A sells a set for $25 and offers a 10% discount. Store B sells a set for $27 and offers a 20% discount. Store C sells a set for $26 and offers a 15% discount.
Answer:
store a's set after discount is $22.5
store b's set after discount is $21.6
store c's set after discount is $22.1
so store b would be the cheapest hope this helps please give me brainliest
Step-by-step explanation:
The range of the function
Answer:
Range: {-4, 3, 5}
Step-by-step explanation:
The range of a function includes all the set of possible output, or y-values in a given data set of a function.
Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.
This can be written as:
Range: {-4, 3, 5}
Can anybody help with this?
Answer:
12
Step-by-step explanation:
Because < this means less than. So therefore 5 is less than 12
A cell phone company charges $89.99 for a new phone and then $19.99 per month. Write a function to represent this situation.
Please help me
Answer:
y= 19.99x +89.99
Step-by-step explanation:
Answer:
Step-by-step explanation:
$89.99+$19.99x
what is an equetion of the line that paraell to y=3x - 8and passes through the point[4,-5]
Answer:
-2.5 I THINK
Step-by-step explanation:
A salesman sells a car for $11 000. If he is paid a commission of 4.5%
for the first $10 000 and 7.5% on the remainder, then the commission
he receives is
from 2000 to 2010, the population of Florida increased by 23.5%. the population in 2000 was 15,982,378
Answer:
ok
Step-by-step explanation:
Please help me out!
Answer:
4/3
Step-by-step explanation:
Solve the following proportion for n.
4/12 = n/72
Answer:
n = 24
Step-by-step explanation:
(4/12)*72 = n
24 = n
my question is in the picture
Answer:1
Step-by-step explanation:
