The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply
Answers
Answer:
a, b ,e
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is solution to equations?"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."
For given question,
We have been given the graph of a quadratic function f(x) and an absolute value function g(x).
We need to find the x-values that are approximate solutions to the equation f(x) = g(x).
To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.
The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.
Also, the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.
So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
Learn more about the solution to the equation here:
https://brainly.com/question/14603452
#SPJ2
Related Questions
A real estate agent earns a 6% commission on each property she sells. If she sells a detached house for $200,000 and a cottage for $180,000, how much commission will she earn?
A.
$10,800
B.
$20,000
C.
$12,000
D.
$22,800
Answers
Choose true or false for each statement.
Answers
Answer:
a:t
b:f
c:f
d:t
e:f
I think
what’s the area of this? i really need help....50 points if u help me :)
Answers
Answer:
Step-by-step explanation:
We can split this up into 3 shapes.
Using the attached image:
[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]
Find (g-)(x).
f(x)=1/x
g(x) = x^2+ 2x-5
Answers
Answer:
C. x^2+ 2x-5 - 1/xStep-by-step explanation:
Givenf(x)=1/x g(x) = x^2+ 2x-5To find(g-f)(x)Solution(g-f)(x) = g(x) - f(x) =x^2+ 2x-5 - 1/xCorrect one is C
A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answers
Answer:
£20
Step-by-step explanation:
Given that:
Total amount alloted = 2000
Ticket cost = 32
Discount = 1/4 off
Hence, ticket price = 3/4 * 32 = 24
Train ticket cost = 12
Total cost per person = £(12 + 24) = £36
Hence, alloted amount / cost per person
= £2000 / £36
= 55.55
Total number that can attend = 2 teachers and 53 students
Change = £2000 - (£36*55)
= £20
12(x - 6) = 2(x - 9)
Answers
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)
Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11
Answers
Answer:
x + y - 1 = 0
Step-by-step explanation:
y = -x - 11
therefore its slope is -1
x1= -3
y1 = 4
m = -1
from, y - y1 = m(x -x1)
y - 4 = -1(x + 3)
y -4 = -x -3
x + y -1 = 0
A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.
Answers
Answer:
[tex]y=1.25x+1.5[/tex]
Step-by-step explanation:
Step one:
given data
let the manufacturing cost of the video game be x
25% of x
=25/100*x
=0.25x
the new price of the video game will be
=0.25x+x
=$1.25x
cost of shipping is given as $1.5
let the total cost of producing a video game be y
The expression for the total cost of one video game is given as
[tex]y=1.25x+1.5[/tex]
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answers
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each piece
Answers
Answer: See explanation
Step-by-step explanation:
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
The time spent on each subject will be the remaining hours left divided by 7. This will be:
= 5 3/5 ÷ 7
= 28/5 ÷ 7
= 28/5 × 1/7
= 28/35 = 4/5 hours
Since 60 minutes make one hour
4/5 hours = 4/5 × 60 = 48 minutes
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
This will be:
= 6 3/4 ÷ 2 1/4
= 27/4 ÷ 9/4
= 27/4 × 4/9
= 3 boxes
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.
Joana ribbon = 12 1/4 meters
Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters
We then add both length of ribbons and divide by 2. This will be:
= 12 1/4 + 9 1/4
= 21 1/2 meters
= 21 1/2 meters ÷ 2
= 43/2 ÷ 2
= 43/2 × 1/2
= 43/4
= 10 3/4 meters
Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.
Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.
Answers
The answer to this question is 7.404
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answers
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to
$
15.95
plus a tax of
$
1.17
. He gave the waitress a $20 bill and two dimes.
How much change will Cody get back?
Answers
Answer:
2.88
Step-by-step explanation:
You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back
Given the following number line, select all of the true statements.
|a| > |b|
a b
a > b
0 0
Answers
Answer:
b
Step-by-step explanation:
7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d
Answer:
doing this in oddseyware rn its is A C D F
mark brainlist
Step-by-step explanation:
what is the solution set of the above question ?
Answers
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
What is the point slope form of a line with the slope -5 and point (2,-8)?
Answers
Answer:
-5x-y=27
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
it takes Ryan 1/5 hour to bike home from school. his biking speed is 10 mph
how far apart are the school and his house
Answers
Ok, so.. first you write both the problems down and write the 10 as a fraction (so it would automatically be 10/1). Then invert so it would be a multiplication problem (1/5 x 1/10). Since you can’t cross cancel, you multiply across. So, 1/5 x 1/10 (1 x 1 and 10 x 5)
1/50
A polynomial function is represented by the data in the table.
x = -5, -4, -3, -2, -1
f(x) = -15, -6, 1, 6, 9
Choose the function represented by the data.
f(x) = 6x + 15
f(x) = −6x − 45
f(x) = x2 − 40
f(x) = −x2 + 10
Answers
Answer:
Step-by-step explanation:
F(x)=6x+15
f(x)=6(-15)+15
f(x)=-75
Answer:
D f(x)=-x2+10
Step-by-step explanation:
did on edge
Question 1:
Solve for k :
Answers
step by step explanation: divide 108 and -3 and because there is one negative it’d be -36
hope this helps
Answer:
Step-by-step explanation:
Equation:
-3k = 108
We need to separate -3 from k. So we must do the inverse operation.
Divide both sides by -3
k = -36
Hope this helps :)
Please consider Brainliest :)
2. What are the slope and y-intercept of the
line described by y = 3x - 6?
Answers
Answer:
If your trying to find the slope and y-int of that equation:
Slope: 3
y-int: (0, -6)
Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches
Answers
Answer:
a b e i think
Step-by-step explanation:
PLEASEEE ITS EASY ALGEBRA 1 ):
Answers
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 > 11
Subtract 7 from both sides
2x/3 > 4
Multiply both sides by 3
2x > 12
Divide both sides by 2
x > 6
6, 7, and 8 are the ones that work
whats 14 4/10 - 13 1/3 ASAP
Answers
Answer:
1 1/15
Step-by-step explanation:
Answer:
16/15 or 1.06.. or 1 1/15
Step-by-step explanation:
:)
A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?
Answers
Answer:
The rabbit is faster, as it has a speed of 44 mph.
Step-by-step explanation:
Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.
In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.
Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.
A lady has 30 oatmeal cookies and 48 chocolate chip cookies. She wants to put them in a container contains the cookies equal. What is the maximum amount containers. Used
Answers
Answer:
78 i think
Step-by-step explanation:
Find the distance from point A(−14, 5) to the line −x+2y = 14.
Answers
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
[tex]-x+2y= 14[/tex]
And the point is:
[tex]A = (x_1,y_1) = (-14,5)[/tex]
The standard form of equation of line is:
[tex]Ax+By+C = 0[/tex]
Converting the given equation into standard form
[tex]-x+2y-14=0[/tex]
The distance of a point (x1,y1) from a line is given by the formula:
[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
I need it now plzs
Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit of $125, how many t-shirts did he sell?
Answers
Answer:
17 t-shirts sold
Step-by-step explanation:
If we assume that we don't need t find the number of hats, then we can say that the profit from -tshirts would be $125 minus 40 or $85
Then we can write the following equation of x is the number of t-shirts:
5x = 85
If we solve by diving both sides of the equation by 5:
5x/5 = 85/5
x = 17 t-shirts sold
You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?
Answers
Answer:
$7.84 more
Step-by-step explanation:
To find how much more you spent on dog food, find the difference between the two prices:
12.59 - 4.75
= 7.84
So, you spent $7.84 more on the dog food
What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!
Answers
Answer:
11 ; 12°
Step-by-step explanation:
3x + 28 + 2x - 10 + 5x + 52 = 180
10x = 180 - 70
x = 11
m∠C = 2(11) - 10 = 12°
Answer:
Angle ACB = 12°
Step-by-step explanation:
All angles in a triangle always add up to 180°, which gives us an equation to solve for x:
3x + 28 + 5x + 52 + 2x -10 = 180
Combine like terms
10x + 70 = 180
Subtract 70 from both sides
10x = 110
Divide both sides by 10
x = 11
Now we know the value of x, we need to just plug it in to angle ACB's given value:
2(11) - 10 = Angle ACB
22 - 10 = Angle ACB
12 = Angle ACB
Help me with math please
Answers
Answer:
B. 1/6
Step-by-step explanation: