Answer:
Best Answer: f(x) = 3x - 1, g(x) = 2x - 3
f(2) = 3(2) - 1 = 6 - 1 = 5.
2x - 3 = 5
2x = 8
x = 4. This value ensures g(x) = f(2).
pls give brainliest
Need Help ASAP it's due today. Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? SHOW YOUR WORK. ( The teacher said to Plot a third point, connect the third point to make a right triangle, find the lengths of the legs of the triangle and then use the pythagorean theorem to find the distance between the gas station and Angelica's house). Only answer if you truly know how to solve this please. Will Mark Brainliest
Answer:
About 7.8 miles.
Step-by-step explanation:
We can use the distance formula to find the distance from the gas station to the house.
However, your teacher said to use the Pythagorean Theorem to find the distance.
Going by your teacher's preferred method:(4,3), (10,8), and (10,3) would make a right triangle.
[See Picture]
Angelica's house is at point (4,3). It is 6 units from our new third point.
The gas station is at point (10,8). It is 5 units form out new third point.
The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]
7.81024967591 ≈ 7.8
The hypotenuse is about 7.8.
Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.
Brainilest Appreciated!
Answer:
AG = 7,8
Step-by-step explanation:
Plot the third point at (10,3) and let's call it point B.
Now construct the right sided triangle A B G
With A = (4,3) , B = (10,3) and G = (10,8).
AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6
BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5
Now use pythagorean theorem to calculate AG
In any right sided triangle you can use a² + b² = c²
In our case AB² + BG² = AG²
Substitute AB = 6 and BG = 5
6² + 5² = AG²
AG² = 6*6 + 5*5
AG² = 36 + 25
AG = + - SQRT(61)
{Only the + variant of the SQRT has a meaning here.}
AG = 7,81 rounded on one decimal AG = 7,8
A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!
Answer:
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Step-by-step explanation:
We are supposed to find inequality represents all possible combinations of x tulips and y carnations
Cost of 1 tulip = $5
Cost of x tulips = 5x
Cost of 1 carnation =$3
Cost of y carnations = 3y
We are given that she does not want to spend more than $45.
So, She can spend less than or equal to 45
So, required inequality :[tex]5x+3x \leq 45[/tex]
So, Option B is true
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Answer:
it would be 5x + 3y <= 45
Step-by-step explanation:
I literally just did this question on my math homework and I got it right .
Sandra buys tiles for her bathroom walls. Each tile is a square with sides 15cm.
a. Calculate the area of one tile
b. She wishes to cover an area of 108,900cm^2. How many tiles does she need?
c. There are 36 tiles in each box, and only whole boxes can be purchased. How many boxes does Sandra need to buy?
Answer:
A. Area is 15cm x 15cm = 225cm is the area of 1 tile.
B. She will need 484 tiles
C. She will need to purchase 14 boxes
Step-by-step explanation:
TeeVee Electronics, Inc., makes console and wide-
screen televisions. The equipment in the factory allows +
for making at most 450 console televisions and 200
wide-screen televisions in one month. It costs $600 per
unit to make a console television and $900 per unit to
make a wide screen television. The profit on each
console television is $125 per unit, while the profit for
each wide screen television is $200 per unit. During the -
month of November, the company can spend $360,000 to make these televisions. To
maximize profits, how many of each type should they make?
LET
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
[tex]600x+900y \leq 360,000[/tex]
Because they can't spend more than $360,000 in production.
[tex]x\leq 450\\y\leq 200[/tex]
Because the number of television is restricted.
The profit function is
[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]
450 console screen and 100 wide screen give a profit of $76,250.
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,8+n the answer is 45
Answer:
n=37
Step-by-step explanation:
45-8=37
Answer:
n=37 easy math :)
A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 5 revolutions?
Answer:
10 revolution ot takes
Determine the missing term from the perfect square trinomial. Show ALL work. x2 − ______+ 36
Answer:
12x
Step-by-step explanation:
Given the perfect square trinomial: [tex]x^2-()+36[/tex]
Written in the form [tex](x+k)^2[/tex]
[tex]x^2-()+36=x^2-()+6^2=(x-6)^2[/tex]
[tex](x-6)^2=(x-6)(x-6)\\=x^2-6x-6x+36\\=x^2-12x+36[/tex]
The missing term therefore is 12x.
which of the following is equivalent to the expression below?
(a²-2b²+3)-(4b²+5)+(3a²+4)
A: 4a²-6b²+12
B: 4a²-6b²+2
C: 4a²+2b²+2
D:4a²+2b²+12
Answer:
4a^2−6b^2+2 so B
Step-by-step explanation:
What is 1/2 of 7/8? In fraction firm
1/2*7/8=7/16
Answer:
7/16
The required fraction of 1/2 of 7/8 is given as 7/16.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1/2 of 7/8 = 1/2 × 7/8
= 7 / 16
Thus, the required fraction of 1/2 of 7/8 is given as 7/16.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
What is 200000 in standard form
Answer:
200,000 or 2000,000.0?
Step-by-step explanation:
Answer:200,000 = 2 x 10^5 fifteen thousand, eleven and sixty-seven thousandths?
Step-by-step explanation:
google hope this help you
A student spent 4/7 of an hour each evening reading a book about whales if it took the student 9 evenings to finish the book how many hours in all did the student spend reading
5 1/7 6 1/7 5 2/7
Answer:
5 1/7
Step-by-step explanation:
Look at the attachment
Question 1
2 pts
P is between Jand K. The distance between Jand Pis 7 more than 3 times the distance
between P and K. If JK = 55, what is PK?
Answer:
29
Step-by-step explanation:
Each question Sandra answers incorrectly changes her overall score by - points. Sandra's
overall score was -4 points, and then she answered the last question incorrectly. What
was Sandra's final score?
Answer: -5
Step-by-step explanation:
For each question Sandra answered incorrectly her overall score was changed by -1 point.
Her overall score was -4 before she attempted her last question incorrectly. Since a wrong answer gives her -1 point and her overall is -4
We add her overall and her point from last question which sums up to -5.
So sandras final score is -5
Answer:-5 1/4
Step-by-step explanation:
What is the least common multiple of 8, 12 and 16?
Answer:
b
Step-by-step explanation:
please help idk the right answer
Answer:
C
Step-by-step explanation:
if you add the value if f(x) to t
(6x3)2 = 62(x3)2 = 36x6
True or false
Answer:
false
Step-by-step explanation:
Pls I need this right away if you answer I’ll mark you the brainliest. Pls put how you got your answer too!
Answer:
6 cube/to the 3rd units
Step-by-step explanation:
um idk if this is what you want but yeah
if you spilt it into a 2x2x1 and a 1x2x1 you can count that there are 6 cube units
Answer:6 cubes
Step-by-step explanation:
There are 2 ways that I think you could solve this.
1. First, you could make those 2 missing cubes actual cubes, so then you could find the volume of the cube by doing 2x2x2(length x width x height) and you would get 8 cubes. After that, you would take away the two missing cubes, and you would get 6 cubes.
2. You could also just count the cubes. I counted the two inner cubes and then counted the 4 outer cubes, and got 6 cubes.
Hope this helps!
Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answer:
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
. A kite is in the shape of a parallelogram
with a 4.5 cm base and a height of
7.9 cm. What is the area of the kite?
Answer:
I believe the answer is 35.55 cm
Step-by-step explanation:
Answer:
35.55 cm
Step-by-step explanation:
To find the answer of this question is to use the method bxh.
4.5 cm
x 7.9 cm
----------------
35.55 cm
pls help me homework
Answer:
The answer is 4 days
Step-by-step explanation:
If the final amount is 12.60 then you would decide that by 3.15 to get to 4 sense 3.15 • 4 would be 12.60
If you compare the red triangle to the blue triangle are the figures similar, congruent, neither, or it is impossible to tell?
Answer:
Congruent
Step-by-step explanation:
Congruent figures are all figures that have the same number of sides, with the same length, and the angles between the sides have the same values.
Answer:
Congruent
Step-by-step explanation:
William earns $13 an hour working theater last week he worked h hours at the concession stand and three times as many hours at the ticket counter.Write and simplify an expression for the amount of money William earned last week.
PLEASE HELP IT IS DUE IN 30 min. And explain why
Williams earns $13
(h+3h)*13 = 4h*13 = $ 52h
A pool measuring 8 meters by 24 meters is surrounded by a path of uniform
width, as shown in the figure. If the area of the pool and the path combined is
960 square meters, what is the width of the path?
Answer:
8 meters
Step-by-step explanation:
8 × 24 = 192, 960 - 192 = 728.
The width of the path will be 8, and the length of the path will be 91, but since the question is just talking about the path's width, then the answer is 8 meters.
question #17 college algebra please help. Picture provided
Answer:
Step-by-step explanation:
I think you either multiply I’m really not sure but that’s my opinion on how to solve this
B
The measure of ZDAB equals 110° The
measure of ZACB equals 20°.
What is mZ ABC?
D
A
Enter your answer in the box
Answer:
Given
¯¯¯¯¯¯¯¯¯
D
A
C
is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,
∠
D
A
B
, is 105°, we can know that the other segment
∠
B
A
C
must equal 75, since
105
+
75
=
180
.
Once we've found the measure of
∠
B
A
C
to be 75°, and given the measure of
∠
A
C
B
to be 35, we can then find the measurement of
∠
A
B
C
.
Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.
75
+
35
+
m
∠
A
B
C
=
180
110
+
m
∠
A
B
C
=
180
m
∠
A
B
C
=
70
Find the slope and y intercept
Answer:
1) slope = 3, y-intercept = 1
2) slope = -4, y-intercept = 140
Step-by-step explanation:
to find the slope take rise over run, for y-intercept its always where ever the 0 falls on the x line.
1) since the rise(y) = 6, and the run(x) = 2, it becomes 6/2 making your answer 3. They y-intercept is x = 0, y = 1.
2) The rise(y) = -20, and the run(x) = 5, it becomes -20/5 making your answer -4. The y-intercept is x = 0, y = 140.
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
x is 23 degrees
help quick!!!!?????
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
Jack divided his fortune of $92,000 into 8 equal parts. He gave 4 parts to his wife, 1 part to his son and divided the remaining 3 parts equally among 5 charities.
How much more money did his son get than each charity?
Answer:
4,600
Step-by-step explanation:
92,000/8= 11500
11500 x 4= 46000 to his wife
11500 for the son
92000-57500= 34500
34500/5= 6,900 each charity
11500-6900= 4600 is how more he is getting than each charity
Answer:
4600 more money
Step-by-step explanation:
92000 ÷ 8 = 11500
1 part to his son
3(11500)= 34500
34500 ÷ 5 = 6900
11500-6900= 4600
3x and -2x are they like terms or unlike terms
Answer:
Yes they are like terms.
Step-by-step explanation:
As like terms are those who has same variables or powers.Here,we have same variables for both the terms and both have the power 1.
hope it helps!
