Answer:
a = - 15 and b = - 9
Step-by-step explanation:
distribute the left side
- 15x² - 25x - 5b
For - 15x² - 25x - 5b = ax² - 25x + 45
Then the coefficients of like terms must be equal, hence
comparing coefficients of x² term ⇒ a = - 15
comparing constant term ⇒ - 5b = 45 ⇒ b = - 9
Answer: a = -15, b = -9
Step-by-step explanation:
-5(3x² + 5x + b) = ax² - 25x + 45
-15x² - 25x - 5b = ax² - 25x + 45 distributed -5 on left side
Notice that the middle terms (-25x) are equal, so the the remaining terms will also be equal.
-15x² = ax² ⇒ -15 = a
-5b = 45 ⇒ b = -9
A school is contemplating purchasing new computers for its computer lab. Each computer costs $1125. The school has a budget of $8,000. What are the possible numbers of computers that the school can buy?
A 0, 1, 2, 3, 4, 5, or 6 computers
B 0, 1, 2, 3, 4, 5, 6, or 7 computers
C 7 computers
D 1, 2, 3, 4, 5, or 6 computers
Answer:
C
Step-by-step explanation:
divide budget by the cost of one computer
Y=-4x y=x^2-12 solve the system of equations
Answer:
-4x = x² - 12
x² + 4x - 12 = 0
(x - 2)(x + 6)
x = -6, 2
{(-6, 24), (2, -8)}
How much would your total cost be for a $153.99 item with a 10% discount?
Holly, Maria and Johnny went to a fair over Spring Break. Holly paid $12.50 and went on one ride. Maria paid $15.00 and went on two rides. Johnny paid $20.00 and went on 4 rides. With x being the number of rides and y being the total amount paid, is the situation linear and why?
No. Between Holly and Maria there is an increase of $2.50 and between Maria and Johnny there is an increase of $5.00.
Yes. The y-intercept can be determined to be $10.00.
Yes. There is a constant rate of increase of $2.50 for each ride.
No. We are not given the initial cost if they went on no rides.
Answer:
Yes. There is a constant rate of increase of $2.50 for each ride.
Step-by-step explanation:
Lets write each persons cost and rides in the form y =mx+b
y being the total cost and x is the number of rides
Holly
(1 , 12.50)
Maria
(2,15)
Johnny
(4,20)
Lets calculate the slope
m = (y2-y1)/(x2-x1)
= (20-15)/ (4-2)
= 5/2
We can use the point slope form to determine b
y-y1 = m(x-x1)
y-20 = 5/2 (x-4)
Distribute
y-20 = 5/2x -20/2
Add 20 to each side
y-20+20 = 5/2x -10 +20
y = 5/2x +10
The slope or cost per ride is 2.50 and the y intercept is 10
If lines m and n are parallel, and < 2 measures 45°, which is the measure of <3?
a. 30°
b. 45°
c. 90°
d. 180°
Answer:
B
Step-by-step explanation:
The meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50 if she deducts this amount from the total, how much will each of the other people pay for their meal?
Answer:
10.09
Step-by-step explanation:
52.95-2.50=50.45
divided by 5 = 10.09
Find the quotient 744 divided by 3.1
Answer:
240
Step-by-step explanation:
Once you divide, using a calculator if possible, you get the exact solution.
Answer:
240
Step-by-step explanation:
1st you gotta turn 3.1 into a whole number by moving the decimal 1 space to the right then add a 0 to 744, next you divide normally
Using what you know about percents, explain why a commercial that says "80% of dentists recommend this toothpaste" might be misleading.
Final answer:
The commercial's claim that '80% of dentists recommend this toothpaste' might be misleading because it lacks context and does not specify the criteria or sample size used in the recommendation survey.
Explanation:
The commercial that says "80% of dentists recommend this toothpaste" might be misleading because the 80% figure does not provide the full context of the recommendation. It does not specify whether the recommendation is based on a survey of all dentists or a specific group of dentists. For example, if the survey only included a small sample of dentists who were given incentives to recommend the toothpaste, the result may not accurately represent the entire dentist population. Additionally, the commercial does not provide information about the criteria used for the recommendation. It is possible that the toothpaste is recommended for a specific condition or age group, but not necessarily for everyone. Therefore, it is important to critically evaluate such claims and look for more detailed information before making a decision based solely on the statistic provided in the commercial.
Joel's family has four more pets than Brian's family. Together the two families have at least 7 pets. Let x represent the number of pets Brian's family has. Which inequality can be used to find the possible numbers of pets Brian's family has?
Answer: 2x + 4 ≥ 7
Step-by-step explanation: If Brian = x then Joel = x + 4. Sum up the expressions that represent the amount of pets they have and it has to be greater than or equal to 7 since that is the smallest amount of total pets the two families have. Therefore, the correct answer is 2x + 4 ≥ 7
Mr. Blaine pays Ron,Nan, and Lin $45 to mow and clean up his yard. If the children share the money equally how much will each person get
Answer:
$15 each
Step-by-step explanation:
$45/3 children= $15 each
please help asap ‼️
which of these sets of points lie within plane w?
a. C and G
b. H and E
c. C and E
d. A and D
Answer:
Im pretty sure its a. C and G
Step-by-step explanation:
Answer: The answer is (C) C and E.
Step-by-step explanation: We are given a figure including a plane 'w' and a number of points A, B, C, D, E and F around the plane. We are to select the pair of points from the given options that lie within the plane 'w'.
We can see in the figure that the points A and F lie above the plane 'w'; the points B and D lie below the plane 'w'; the points C and E lie on or within the plane 'w'.
Since we are to find the set of points lying within the plane 'w', so option (C) is the correct option.
Find the center and the radius of the circle x^2+y^2+6x-4y-12=0 show your work
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form use the method of completing the square on both the x and y terms
rearranging
x² + 6x + y² - 4y = 12
x² + 2(3)x + 9 + y² + 2(- 2)y + 4 = 12 + 9 + 4
(x + 3)² + (y - 2)² = 25 ← in standard form
with centre = (- 3, 2) and r = [tex]\sqrt{25}[/tex] = 5
which statement is true? A)4[3(5+2)]=95-4×3 B)4[3(5+2)] not equal 95-4×3
Answer:
B) 4[3(5+2)] not equal 95-4×3
Step-by-step explanation:
4[3(5+2)]=95-4×3
84=95-4x3
84=83
So since they are not equal B. is the correct answer!
Answer:
Option B.
Step-by-step explanation:
The given expression is
4[3(5 + 2)] = 95 - 4×3
We will solve the left side of the expression first
4[ 3(5 + 2)] = 4[ 3(7) ]
= 4 × 21
= 84
Now we take the right side of the expression
95 - 4×3
= 95 - 12
= 83
Now it's clear that right side of the expression is not equal to the left side of the expression.
Therefore, Option B is the correct option.
which is more 4feet or 48inches
Answer:
4 feet = 48 inches
Step-by-step explanation:
In one foot there are 12 inches and since we have 4 of them we multiply to find how many total inces there are:
4x12=48
If you wanted to check the other side of it you would divide 48 inches by 12 inches to find out how many feet you have:
48÷12=4
Answer:
They are equal.
Step-by-step explanation:
A foot is made up of 12 inches
4 feet= 12*4 inches
4 feet= 48 inches
There you go!
The two are equal to each other
What is the function for the arithmetic sequence 7,9,11,13,15,17
Answer:
Step-by-step explanation: I would say y=x+2 or 2 because every number that you add 2 to, it gives you the solution which is the second number
Hope this helps!!!!
Please mark Brainliest!!!!!☺
Adele is 5 years older than Timothy. In three years, Timothy will be  of Adele’s age. What is Adele’s current age?
Answer:
Adele's current age is 12
Step-by-step explanation:
Let a = Adele's current age
Let t = Timothy's current age
Adele is 5 years older than Timothy:
a = t + 5 {equation 1}
In 3 years Timothy will be 2/3 of Adele's age:
(2/3)(a + 3) = t + 3 {equation 2}
Since we are looking for Adele's age, let's rearrange equation 1 to:
t = a - 5
Substitute that into equation 2 and solve for a.
(2/3)(a+3) = a - 5 + 3
(2/3)(a + 3) = a - 2
Multiply through by 3 to clear the fraction
2(a+3) = 3a - 6
2a + 6 = 3a - 6
Add 6 to both sides, subtract 2a from both sides
12 = a
Adele is 12 years old
This means Timothy is 7 years old.
Check equation 2 to verify:
(2/3)(a + 3) = t + 3
(2/3)(12+3) = 7 + 3
(2/3)(15) = 10
10 = 10
Answer:
Adele is 12 years old
Step-by-step explanation:
what is the answer to this math question 4×(-9+12)÷(2×3) I keep getting 14
Answer:
2
Step-by-step explanation:
Answer:
2. Hope this helps.
PS
Can I get brainliest?
Explain how to represent functions as graphs. Give an example.
Answer:
In order to represent functions as graphs, first we need to make a table of x and y values and plot those x,y values on the graph
Step-by-step explanation:
Suppose we have a statement as below:-
The cost of carrot is $2.50/lb
We can convert this statement into a function as
total cost = price per lb * weight of carrot bought
Let y be the total cost and x be weight of carrot bought
So,
y = 2.50 * x
where x is the independent variable and y is the dependent variable
A function represents an equation that shows the relationship between the input x and the output y.
The input x is also known as the Domain
The output y is also known as the Range
1) We can represent this function as a graph. In order to make a graph we need to begin by making a table containing inputs and their corresponding outputs.
Input, x (lb) Output, y ($)
0 0
1 2.50
2 5.00
3 7.50
The above table is generated by plugging in the values of x as 0, 1, 2, 3 into the function y=2.50*x and calculating the corresponding value of y
2) Now, we just need to plot the above pair of x,y values on the graph as shown in the attached figure.
6+6-1+45*7= ???????????
HELP
Following PEDMAS ( order of operations, multiplication comes before addition:
6+6-1+45*7=
6 +6 -1 + 315 =
Now do the addition and subtraction from left to right:
6+6 = 12 - 1 = 11 + 315 = 326
The answer is 326.
Can someone give me the answer for this
Answer:
perpendicular
what is the value of
[tex] \sqrt{9 + 16} [/tex]
9 + 16
Answer:
I think it's maybe 5
Step-by-step explanation:
First, you would do 16+9, which is 25
Second, you would figure out the square root of 25, which would be 5
So, 5 would be your answer I guess
Hope this helps :)
In a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3 : 5
How many red cars are in the parking lot?
Answer:
Step-by-step explanation:
Given:
240 red and blue cars
3:5 ratio of red cars to blue cars
3 + 5 = 8
red cars: 3/8 * 240 = 90
blue cars: 5/8 * 240 = 150
ratio of red cars to blue cars: 90:150
simplify:
90 ÷ 30 = 3
150 ÷ 30 = 5
Thus: 90:150 = 3:5
Answer:
Imagine math : 90, because 38 of the cars are red
Step-by-step explanation:
Jade has $10, Julio has $100, and Anna has $1,000. How many Japanese yen would each person get in exchange for their dollars?
Answer:
Jade has 1,124.41 Yen. Julio has 11,244.15 Yen. Anna has 112,445.39 Yen.
Step-by-step explanation:
I know this because I went to an exchange website.
The question was about converting US dollars to Japanese yen. The conversion is based on the exchange rate, last known to be 103 yen per US dollar. Jade with $10 would have 1,030 yen, Julio with $100 would have 10,300 yen and Anna with $1,000 would have 103,000 yen.
Explanation:The value of each individual's dollars in Japanese yen would be determined by the current exchange rate. As of the last known rate, it was approximately 103 yen per US dollar. Therefore:
Jade with $10 would have about 1,030 yen (10 multiplied by 103).Julio with $100 would have approximately 10,300 yen (100 multiplied by 103).Anna with $1,000 would have approximately 103,000 yen (1,000 multiplied by 103).These calculations can change depending on the fluctuations in the exchange rate.
Learn more about currency conversion here:https://brainly.com/question/11171380
#SPJ3
Please help with 25
I need this plz
420=2(r+10) what is the total value of r
Answer:
(420/2)-10=r
r=200
Step-by-step explanation:
Answer:
r = 200
Step-by-step explanation:
divide both sides by 2
210 = r + 10 ( subtract 10 from both sides )
200 = r ⇒ r = 200
Sears sells a sweater for $69 and has a 60% markup on the selling price what is the cost of the sweater to Sears
Answer:
$43.13
Step-by-step explanation:
The original price plus the markup = selling price
The markup = original price * percent markup
So
selling price = original price + original price* percent markup
Factoring out the original price
selling price = original price (1+ percent markup)
Substituting what we know)
69 = original price (1+.60)
69 = original price(1.6)
Divide both sides by 1.6
69/1.6 = original price
43.125 = original price
We round money to the nearest cent
$43.13
To find the cost of the sweater to Sears, divide the selling price by 1.6.
Explanation:To calculate the cost of the sweater to Sears, we need to first find the selling price. A 60% markup on the selling price means that the selling price is 160% of the cost price. Let's say the cost price of the sweater to Sears is C.
So, the selling price of the sweater is 160% of C. In equation form, this can be expressed as: 1.6C = $69.
To find the cost price, we can divide both sides of the equation by 1.6: C = $69/1.6 = $43.125.
The cost of the sweater to Sears is $43.125.
A 2×2 square is centered at the origin. It is dilated by factor of 3. What are coordinates of the vertices of the square?
The 2x2 square centered at the origin has vertices at (-1,1), (1,1), (-1,-1), and (1,-1). When it is dilated by a factor of 3, the coordinates of the vertices are multiplied by 3, resulting in new vertices at (-3, 3), (3, 3), (-3, -3), and (3, -3).
Explanation:The subject here is Geometry, specifically dealing with transformations such as dilations on a plane. The starting square is 2x2 and centered at the origin means its vertices are at (-1,1), (1,1), (-1,-1), and (1,-1). A dilation by a factor of 3 from the origin means we are going to multiply every coordinate by 3. Doing this, we get the new vertices as (3*-1, 3*1) = (-3, 3), (3*1, 3*1) = (3, 3), (3*-1, 3*-1) = (-3, -3), and (3*1, 3*-1) = (3, -3). Therefore after the dilation, the vertices of the square will be at positions (-3, 3), (3, 3), (-3, -3), and (3, -3).
Learn more about Geometric Transformations here:https://brainly.com/question/29987040
#SPJ3
NEED HELP ASAP Determine if each function is linear or nonlinear.
Drag each function into a box to correctly classify it.
Answer
=====================
Chloe lives in an area where she runs the air conditioned runs for 7 hours per day at a cost of 21 cents per hour. How much does spend per year on utility bills for the air conditioner?( assume there are 30 days in each month)
a. $ 705.60
b. $ 588.00
c. $216.09
d. $176.40
Answer:
$529.20
Step-by-step explanation:
If there are 30 days in a month and there are 12 months in a year,
30*12 = 360
then there are 360 days in a year
Assuming we run at 7 hours per day
7 hrs/ day * 360 days = 2520 hours
We will run 2520 hours in a year
At $.21 per hour,
.21* 2520 = 529.20
It will cost $529.20 to run the air conditioner for the year
None of the choices
Find the sum or difference.
20/21. - 5/21. HELP ME PLEASE
A.2/3
B.5/7
C.16/21.
Answer:
It would be B. because if you subtract them you would have 15/21. divide both by three and you get 5/7. Hope this helps
Step-by-step explanation: