Given expressions;
f(x) = x² + 6x + 7
g(x) = 8x² - 2
h(x) = 3x + 4
k(x) = x - 3
Find f(2) - g(2). k(2)
f(2) = 2² + 6(2) + 7 = 23
g(2) = 8(2)² - 2 = 30
k(2) = 2 - 3 = -1
Now, f(2) - g(2). k(2) = 23 - (30)(-1)
= 53
The solution to the problem is 53
1. Using the diagram below, answer the following question. Arthur is at the coordinate A(20,35), Cameron is at the coordinate C(65,40), and Jamie is at the coordinate J(45,20).
Arthur kicks the ball to Cameron in the soccer game. Jamie wants to intercept the ball at the midpoint of the distance between Arthur and Cameron. What is the coordinate of the midpoint that Jamie must run towards? Write your answer as a decimal, if necessary.
Answer:
(42.5, 37.5)
Step-by-step explanation:
Given:
Arthur = A(20, 35)
Cameron = C(65, 40)
Jamie = J(45, 20)
Required:
Coordinate of the midpoint of the distance between A and C.
SOLUTION:
Midpoint (M) of AC, is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(20, 35) = (x_1, y_1) [/tex]
[tex] C(65, 40) = (x_2, y_2) [/tex]
Plug the values into the given formula:
[tex] M(\frac{20 + 65}{2}, \frac{35 + 40}{2}) [/tex]
[tex] M(\frac{85}{2}, \frac{75}{2}) [/tex]
[tex] M(42.5, 37.5) [/tex]
Coordinate Jamie should run towards is (42.5, 37.5)
emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695. find the number of packages of erasers and pencils that were sold
Given :
Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695.
To Find :
The number of packages of erasers and pencils that were sold .
Solution :
Let, number of erasers are x and pencils are y.
So, x + y = 220 ....1
Also, 2x + 5y = 695 ....2
Solving equation 1 and 2, we get :
[tex]2(220-y)+5y = 695\\\\440 - 2y + 5y = 695\\\\3y = 255\\\\y=85[/tex]
x = 220 - 85 = 135
Therefore, the number of packages of erasers and pencils that were sold are 135 and 85 respectively.
Hence, this is the required solution.
I left a $6 tip on a $40 lunch. What percent is this?
Answer:
15%
Step-by-step explanation:
How might you prove your observations about the slope of a midsegment in part d using algebra and x- and y-coordinates? Briefly outline an approach using what you know about midpoints and parallel lines. Use the figure you created in GeoGebra to guide you.
Answer: I can use variables to represent the coordinates of the vertices for a general triangle ABC. then I can calculate the midpoints of the sides in terms of the same variables, and calculate the slope of each midsegment showing that the expression for the slope of a midsegment is the same as the expression for the slope of the third side of the triangle proves that the two are parallel.
Step-by-step explanation: this is word for word btw!
What is the answer????
Answer:
No, 13.439 is not a repeating decimal, and,
Yes, it is a rational number because, it can be represented as p/q where q ≠ 0
The p/q form of this number = 13439/100
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Which compound inequality can be represented by the graph below?
A.) x 9
D.) 5 < x ≤ 9
Answer:D
Step-by-step explanation:
Answer:
The answer is 5 < x ≤ 9, OR D on edge
Step-by-step explanation:
its d on edge
Determine whether the statements below are true or false.
1. A segment can bisect a segment.
2. A line can have a midpoint.
A. Both are true
B. The first one is true, the second one is false
C. The first one is false, the second one is true
D. They're both false
Answer:
A
Step-by-step explanation:
what is the slope of a line that passes through points (3,-2) and (-6,5)
Answer:
m = -7/9
Step-by-step explanation:
m = ( y2-y1)/(x2-x1)
m = (5-(-2))/ (-6-3)
m = 7 / -9
2.
V = 216 in.
Finn designs a sculpture that he wants to
display on stacked cubes. If his sculpture
is 1 foot tall, what will be the total
height of the display after he places the
sculpture on the three stacked cubes?
Explain.
V = 512 in.
V = 1,000 in.
Answer:
The total height of the display would be 36 inches tall.
Step-by-step explanation: The bottom cube would be 10 inches tall because 1,000 cubed would be 10 inches. The cube root of 512 would be 8, and the cube root of 216 would be 6. To find the height of the display you would need to add the height of each cube, plus the foot tall sculpture.
PLZZZ HELPPPPPP!!!!!!!!!!!! PRETTTY PLZZZZZ I"LL GIVE YOU MEMES
What is the value of the expression 9^2 + 1 x 2
Answer:
83
Step-by-step explanation:
9² + 1 × 2
81 + 2
83
By the way, I am Nancy.
HELP NEEDED ASAP WILL GIVE BRAINLIEST AND 5 STARS
Answer:
the first answer is D.
the second answer is B.
the other graphs are not the right ones because graph A is going in a straight line and graph C is'nt high as its supoosed to be.
Step-by-step explanation:
you welcome<3
PLEASE HELP ME I NEED THIS DONE TODAY ITS DUE NOW IM STRESSING OUT!
HELP PLS I NEED THIS IN 5 MIN
Answer:
[tex]displacemnt \: = 4432.5m \: (left)[/tex]
Step-by-step explanation:
[tex]velocity = \frac{displacemnt}{time} \\ - 98.5m {s}^{ - 1} = \frac{x}{45.0 \: s } \\ x = - 98.5 \times 45.0 \\ displacemnt \: = 4432.5m \: (left)[/tex]
Answer:
-4432.5 m
Step-by-step explanation:
-98.5 × 45 = -4432.5 m
brainliest pls, it's for my next rank <:
if celia made 3 1/2 cups of rice. A serving is 2/3cup. How many servings of rice did she make?
Answer:
ima say around 5 and 1/4 cups
Step-by-step explanation:
3 1/2 divided by 2/3 cand be round to
3 3/6 divided by 4/6 to make it easier
Answer: E. 5 1/4
Step-by-step explanation:
Which transformations were used to create triangle A’B’C
Answer:
What transformation was performed on triangle ABC to create triangle A'B'C'?
A.rotation 90° clockwise about the origin
B.rotation 180° about the origin
C.translation 10 units right
D.reflection across the y-axis
Step-by-step explanation:reflection, across the y axis
Step-by-step explanation:
what triangle, I can't see any
I need help please. Thank you
Answer:
x=3
Step-by-step explanation:
(x/2)+(x/6)=2
(3x/6)+(x/6)=2
(4x/6)=2
4x/6*6=2*6
4x=12
4x/4=12/4
x=3
I need help ASAP
Which is the best deal?
OA) $56 for 25 gallons
O B) $32.05 for 15 gallons
O C) $51.29 for 23 gallons
OD) $22.50 for 10 gallons
A is the correct answer
Alex mows a lawn that measures 800 square feet in 2 1/2 hours. At this rate, how many square feet of lawn can Alex mow in 1 hour?
Answer:
320 square feet per hour
Step-by-step explanation:
800/2.5=320
320 ft²
Step-by-step explanation:Hi there !
2 1/2 hours ........ 2.5 hours
2.5 h .......... 800 ft²
1 h ......................x ft²
x = 1×800/2.5
= 800/2.5
= 320 ft²
Good luck !
please help i need this asap please
Answer:
4x^2
Step-by-step explanation:
(8x^3)^(2/3)
= 8^(2/3) * (x^(3))^2/3
8^(2/3) can be rewritten as ³√8²;
³√8² = ³√64
= 4
(x^(3))^2/3 = x^(3 * 2/3)
= x^2
Your solution is 4x^2, option a
36 POINTSSSS,HELLPPPPPPPPP In which part of the atmosphere does the temperature decrease as the altitude increases?
es
A)
mesosphere only
B)
mesosphere and troposphere
C)
stratosphere and mesosphere
D)
thermosphere and troposphere
Answer:
D
Step-by-step explanation:
Answer:
thermosphere and troposphere
Step-by-step explanation:
Which equation could be used to find the value of x in the triangle below?
The equation used for solving the value of x will be 2x+4x+10+6x-10 = 180 and value of x is 15.
What is the angle sum property of a triangle?A common property of all kinds of triangles is the angle sum property. The angle sum property of triangles is 180°. This means that the sum of all the interior angles of a triangle is equal to 180°.
Given a triangle with interior angles 4x+10, 6x-10 and 2x
According to the angle sum property of a triangle,
2x+4x+10+6x-10 = 180
x = 15
Hence, The equation used for solving the value of x will be 2x+4x+10+6x-10 = 180 and value of x is 15.
For more references on angle sum property of a triangle, click;
https://brainly.com/question/8492819
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Two customers each both sets of tables and chairs for my furniture store offering a single price for chairs any single price for tables the amount paid by each customer is represented by the following any qualities where I see is the price of a single chair and tea is the price of a single table
how do you say 0.437 in decimals
Answer: 4 tenths, 3 hundredths, and 7 thousandths.
what do you mean
it's just 0.437
Ano ang pinakamalaking kontinente sa buong daigdig?
Answer:
Asia- Asya
Step-by-step explanation:
English- What is the largest continent in the world?
Filipino- Ano ang pinakamalaking kontinente sa buong daigdig?
Which of the following products is equivalent to the quotient ? 9/2 divided by 2
Answer:
1st of all, do you go to AOA?
Step-by-step explanation:
2nd of all I think the answer is 9/2 x 1/2
Answer:
I say the answer is 9/2*1/2
Step-by-step explanation:
Simplify:
Need help ASAP! Tysmm
point t is on line segment su. given su= 5x , tu= 2x, and st= 4x-3, determine the numerical length of TU.
Answer: point t is on line segment su. given su= 5x , tu= 2x, and st= 4x-3, determine the numerical length of TU.
i did not know of the measurements. sorry!!!
Step-by-step explanation:
convert 6 feet into meters. round to the nearest tenth
what is 2 + 1 (the meme awnser)
Answer:
its either 3 or 21(pretty sure 21)
Step-by-step explanation:
Answer:21
Step-by-step explanation:
Can’t figure this out. please help !!
Answer:
Hello!
Welcome to Brainly :D
My name is Euijin and the Answer is:
1. 1
2. -3
Or you can use it Backwards.
Step-by-step explanation: