Answer:
x = - [tex]\frac{3}{2}[/tex] , x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 2 = 0 ⇒ x = 2
What is a arithmetic fact ?
Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?
Answer:
Step-by-step explanation:
t/4+t/3=1
(3t+4t)/12=1
7t/12=1
7t=12
t=12/7
x=(12/7)hours
Answer:
1/4 + 1/3 = 1/x
Step-by-step explanation:
"Bethany can mow her family’s lawn in 4 hours."
In 1 hour, she does 1/4 of the job.
"Her brother Colin can mow the lawn in 3 hours."
In 1 hour, he does 1/3 of the job.
When they work together, in 1 hour they do 1/4 + 1/3 of the job.
When they work together, they can mow the lawn in x hours.
In 1 hour, they do 1/x of the job. This means that 1/4 + 1/3 must equal 1/x.
1/4 + 1/3 = 1/x
The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?
*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
The point-slope form of the equation of the line that crosses point (-2,5) and is parallel to
y=-4x-1, is
Answer:
The slope will be y=-4x-3
Step-by-step explanation:
This is because it is the only slope that hits the point (-2,5) and is parallel to the other slope
Hope this Helped
given point A (3,-4) and point B (8,6) on directed line segment AB
Answer:
-1
Step-by-step explanation:
Is 18/5 and 7/2 proportional
Answer:
no its not
Step-by-step explanation:
a cyclist covers a distance of 15km in 2hours calculate his speed
Answer:
7.5km/h
Step-by-step explanation:
Given data
Distance= 15km
Time = 2 hours
We know that the expression for the speed is
Speed= distance/time
Substitute
Speed= 15/2
Speed= 7.5 km per hour
Hence the speed is 7.5km/h
HELPPPP!!!!
You put $2000 into an account earning 5% interest compounded continuously. Find the amount in the account at the end of 12 years. Write the formula, equation, Write units.
Answer:
2000(1+5/100)^12 = 3591.712652
[tex]5^{2}= 55[/tex]
Answer:
bugahhh
Step-by-step explanation:
bugahhh
Answer:
2 is actually 11
Step-by-step explanation:
5 x 11 = 55
divide 5 from both sides to get,
2 = 11
I think you meant two as a variable maybe?
Find the additive inverse of 0.25. Write your answer as a decimal to the nearest hundredth
Answer:
-0.25
Simply change the sign and you will get the result.
Hope this helps you. Do mark me as brainliest.
1)
Ahmad does a statistical experiment.
He throws a dice 600 times.
He scores one, 200 times.
Is the dice fair? Explain your answer
Answer:
The dice is not fair.Step-by-step explanation:
600 times
and
6 sides to said dice
600 / 6 = 100100 is NOT 200100≠(Not equal sign)200
----------------------------------------------
I would recommend writing/typing all of this as your answer.
Hope I helped!!
please help ..............
Answer:
3/1
Step-by-step explanation:
Line is passing through the points (0, 0) and (1, 3)
Slope of the line
[tex] = \frac{3 - 0}{1 - 0} \\ \\ = \frac{3}{1}[/tex]
Fill in the blank with the correct word(s) to complete the sentence.
A net is a two-dimensional ______ of a three-dimensional figure.
A.
pattern
B.
length
C.
congruent
D.
height
FREE BRAINLEST GIVEAWAY THE FIRST PERSON TO ANSWER FIRST GETS BRAINLEST! :P
Answer:
pattern
Step-by-step explanation:
hope it helps............:)
Can someone please help me out?
Answer:
Ligh blue
Step-by-step explanation:
Answer:
3w + 5 :)
Step-by-step explanation:
Stephanie can jump rope 12o turns in 3 minutes. How many turns does she make in 1 minute
Answer:
40
Step-by-step explanation:
120 divided by three equals fourty
Find the value of x.
A) 3 √3
B) 6 √3
C) 12 √3
D) 6
Answer:
x=6√3
Step-by-step explanation:
I hope this helps.
Answer:
use trigonometric ratios. I think you use tan whereby tan is opposite over adjacent. the opposite side is X and the adjacent side is 6 . we looking for X you gonna calculate
X=6tan60
=6√3
Are natural numbers, whole numbers and integers also rational numbers
Answer:
yes they are rational
Step-by-step explanation:
in mathematics rule numbers that are positive are usually in rational form❤
Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=
Jacob has an $8 gift certificate to use
at a toy store. He decides to buy a toy
airplane that costs $8.61, and 3 toy
cars that cost $2.85 each.
If Jacob uses his gift certificate, how
much money will he need to pay?
111111111111111111111111111111111111111
Answer:
its the first one
Step-by-step explanation:
Katrin is making a poster for school elections. She draws a line 20.4 centimeters long across the poster board. She starts at one end of the line and makes a mark every 3.4 centimeters along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space? Explain how you know.
100 points and a Brainliest
just answer this question
what is dabi real name off of my hero academia
Answer: Toya Todoroki
Step-by-step explanation:
Answer:
Touya Todoroki
Step-by-step explanation:
i used to watch the show
Someone pls help. Write the equation in standard form
Answer:
Step-by-step explanation:
Since, zeros of the relation are 5, 6 and y-intercept is (0, 30).
Therefore, equation of the quadratic relation will be in the form of,
y = a(x - 5)(x - 6)
For (0, 30),
30 = a(0 - 5)(0 - 6)
30 = 30a
a = 1
Therefore, equation will be,
y = (x - 5)(x - 6)
y = x² - 11x + 30
y = x²- 2(5.5)x + (5.5)² - (5.5)² + 30
y = (x - 5.5)²+ 30 - 30.25
y = (x - 5.5)² - 0.25 [Standard form}
b). Vertex → (-4, -7) and passes through a point (-2, 1)
Vertex form or standard equation of the quadratic relation is,
y = a(x - h)² + k
Here, (h, k) is the vertex
Therefore, equation will be,
y = a(x + 4)² - 7
Since, (-2, 1) lies on this relation
1 = a(-2 + 4)² - 7
a(2)²- 7 = 1
4a = 8
a = 2
Equation will be,
y = 2(x + 4)²- 7
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
Answer:
50$
Step-by-step explanation:
750/15=50
(do u mean 7.50 cuz if u did its 0.50 cents)
pls help w fractions math question
Answer:
2 5/6 is greater so Jenna read more
Step-by-step explanation:
Answer:
Antoine
Step-by-step explanation:
u see 8hrs divided by 1.25 hrs equals 6.4 Chapters and 6hrs/ 17/6 = 2.12 and that x3 = 6.36 as u can see 6.4 > 6.36 there u o have a good day bye please give brainliest im only 9 no cap
y = 2x - 8 3x - 2y = 13
Answer:
{x,y} = {3,-2}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 2x - 8
// Plug this in for variable y in equation [2]
[2] 3x - 2•(2x-8) = 13
[2] -x = -3
// Solve equation [2] for the variable x
[2] x = 3
// By now we know this much :
x = 3
y = 2x-8
// Use the x value to solve for y
y = 2(3)-8 = -2
Solution :
{x,y} = {3,-2}
x = (y/2) - 1
Please help me find the answer.
Answer:
Step-by-step explanation:
Well you didn't give directions on what to solve for,
I'm gonna assume you want to solve for y
x = (y/2) - 1 (add 1 to both sides)
x + 1 = y/2 (multiply both sides by 2)
2(x + 1) = y (distribute the 2)
y = 2x + 2
How many minutes will it take josia to skateboard Togo's friend Sebastian's house which is 3 miles from school, if he travels at the same rate he did from his house to school?
E
2
65°
57°
G
15. What is the measure of ZEFG in the triangle shown?
O A.56°
O B. 59°
O C.57°
O D.58°
Answer:
mmmaaaakkkeee iitt clleearr plsss
Solve for C.
5x – 4> 12
OR 12.c +5<-4
Answer:
x>16/5 or c<-1/12
Answer: x≥
x≥16/5 or x≤-3/4
Step-by-step explanation: I think this is the answer but i´m not completely sure of it.