Given:
The function is:
[tex]h(x)=x^2-3x+5[/tex]
To find:
The value of [tex]h(2x+1)[/tex].
Solution:
We have,
[tex]h(x)=x^2-3x+5[/tex]
Putting [tex]x=2x+1[/tex], we get
[tex]h(2x+1)=(2x+1)^2-3(2x+1)+5[/tex]
[tex]h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5[/tex]
[tex]h(2x+1)=4x^2+4x+1-6x-3+5[/tex]
On combining like terms, we get
[tex]h(2x+1)=4x^2+(4x-6x)+(1-3+5)[/tex]
[tex]h(2x+1)=4x^2-2x+3[/tex]
Therefore, the required function is [tex]h(2x+1)=4x^2-2x+3[/tex].
If the scale factor is 5/3 what is the width of the new rectangle?
Answer:
If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Step-by-step explanation:
We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Please help and I please don't answer just for the points I'll report you
Answer:
x=1
y=1
Step-by-step explanation:
y=x^2-x+1 1. Write out the equation
y=y^2-y+1 2. Substitute the "x"s for "y"s
0=y^2-2y+1 3. Subtract "y" from both sides of the equation
0=(y-1)(y-1) 4. Factor into a binomial
y-1=0
y=1
x=1
1. What is the circumference of a tire with a diameter of 12 inches?
A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?
A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?
A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?
A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?
A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?
A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?
Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?
A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?
A18
B4.5
C27
D54
10. Which is true about the radius and diameter?
AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.
Answer:
1) A. 36
2) A. 10
3) B. 72
4) B. 42
5) A. 6
6) B. 90
7) C. less than
8) A. 22
9) D. 54
10) B. The diameter is two times the size of the radius.
Step-by-step explanation:
1) 12 x 3.14 = 36
2) 20/2 = 10
3) 12 x 2 x 3.14 = 72
4) 7 x 2 x 3.14 = 42
5) 36/3.14 = 12/2 = 6
6) 30 x 3.14 - 90
8) 11 x 2 =22
9) 9 x 2 x 3.14 = 54
As an assistant in pet store, one of your responsibilities is to fill the aquariums with water. One 50-gallon aquarium is 36 inches long and 16 inches wide, and is filled to a depth of 20 inches. To the nearest whole number of cubic inches, how much water do you need to fill the aquarium to that depth?
Answer:
Eleven thousand five hundred and twenty
Step-by-step explanation:
E2021
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
what can you conclude about the rain and the students commute on the bus and train?
AYO HELP ME COME ON!!!!!
Answer and Step-by-step explanation:
The answer would be:
C = 10h, where C is the total cost of hats, and h is the number of hats bought.
10 represents the amount of money for each hat.
#teamtrees #PAW (Plant And Water)
HELP I NEED HELP ASAP
Luke kicked a soccer ball into the air. The height, f(x), of the ball, in meters, after x seconds was modeled with the function f(x)=-4.5x^2+27x. How many seconds did it take for the soccer ball to hit the ground?
A. 40.5 seconds
B. 3 seconds
C. 6 seconds
D. 2.5 seconds
Answer:
i think this is the answer
A. 40.5 secods
An equation is an expression without an equal sign?
Answer:
False
Step-by-step explanation:
Answer:
it's actually reverse; an expression is an equation without an equal sign so false lol
Step-by-step explanation:
quotient 2 divided by 2 3
Answer: 11.5
Step-by-step explanation:
Check the picture, and thanks for the help
Answer:
According to me the answer is 'c'
What is the end behavior f(x) ?
[tex]\text{ as } x \to \infty, \ f(x) \to \infty\\\\\text{ as } x \to -\infty, \ f(x) \to -\infty[/tex]
In other words, as x gets really large in the positive direction, so does f(x).
As x gets really large in the negative direction, so does f(x). We can see that x and f(x) move in the same direction toward the same type of infinity.
In laymen's terms or in plain English, we can say that "The graph falls to the left and rises to the right". We don't worry about the wiggle motion in the middle, since all we care about is what's going on as x goes to either infinity.
"Falls to the left" means it goes down forever as we move leftward. "Rises to the right" means it goes up forever as we move to the right. This type of behavior of "falls to the left and rises to the right" is indicative of any odd degree polynomial where the leading coefficient is positive. In this case, it appears we're dealing with a cubic function of degree 3.
someone please help me with this problem
Answer:
x=45
y=135
z=45
Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1999.85
Step-by-step explanation:
A = P(1 + rt)
Where:
A = Amount after t years
P = Initial amount invested = £1850
r = Interest rate = 2.7%
t = Time in years = 3 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.
Solving our equation:
A = £1850(1 + (0.027 × 3))
A = £1999.85
Therefore, Brian will have £1999.85 after 3 years.
Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?
Answer:
planet fitness will take one month and total fitness will take 3 months
Step-by-step explanation:
planet fitness:
75
total fitness:
25
50
75
Can someone help me out with this one???!!!
Answer:
b=6/5
Step-by-step explanation:
pls help i’ll mark brainliest
Answer:
l don't know what to do about that please don't hesitate to ask me anything
Step-by-step explanation:
i don't know how to do it
How many weeks is 36 days
Answer:
about 5 weeks
Step-by-step explanation:
divide 36 by 7
Answer:
5 weeks
Step-by-step explanation:
there is 5 weeks and some days
we know 7 days= 1 week
1 day =1/7 week
36 day= 1/7)*36
=5.14 weeks
..... hope you liked it.
Da Baby has $45,000 and earns $2,500 each hour
from streams. JoJo Siwa has $62,000, earns $2,000
each hour from streams.
How
SI
Each equation represents the amount in the bank after
t hours.
Da Baby: s= 2,500t + 45,000
JoJo Siwa: s= = 2,000t + 62.000
How many hours, will it take for Da Baby and JoJo
Siwa to have the same amount in the bank?
Answer:
Step-by-step explanation:
maybe 30 vtfyubf6tyubtfcgnfgghghnvb ngvbhfhgbfvgn
Work out the size of angle x.
105°
to
Answer:
105
Step-by-step explanation:
cuz it is corresponding angle
Three friends are going to split the cost of a birthday gift. The gift cost $25. How much will each person have to pay (round to the nearest cent – which means nearest hundredth)?
PLEASE HELP
What is the circumference of a circle?
help me with this please !
If you are going 250 miles somewhere and it cost 75 cents per mile how much money is that
Answer:
$187.50
Step-by-step explanation:
Set up an equation
250 m/$x = 1 m/$0.75
Cross multiply
250 miles × $0.75 = 1x
$187.50 = x
dan buys a car for £2,200 it depreciates at a rate of 0.5% per year how much would it be worth in 6 years
Given:
The initial value of car = £2,200
Depreciation rate = 0.5%
To find:
The worth of car after 6 years.
Solution:
Exponential decay model:
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value, r is the rate of depreciation and t is number of years.
Putting a=2200, r=0.005 and t=6, we get
[tex]y=2200(1-0.005)^6[/tex]
[tex]y=2200(0.995)^6[/tex]
[tex]y=2200(0.9703725)[/tex]
[tex]y=2134.8195[/tex]
[tex]y\approx 2134.82[/tex]
Therefore, the worth of the car after 6 years is £2134.82.
Benny bought 4 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 24 cards left.
How many cards did Benny start with?
Answer:
44
Step-by-step explanation:
24x2
48-4= 44
please help i dont know what to do
Answer:
-15 + -3 = -18
Rob owes his father $18.
Step-by-step explanation:
Rob has to pay back the same amount of money that he took. Since he took 15 dollars, he has to give back 15 dollars which makes the 15 negative. The same goes for the 3 in the equation.
To find out the total amount Rob has to pay back, we have to add -15 and -3, which is -18.
1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet
Answer:
80 square feet
Step-by-step explanation:
I hope this helps a little bit.
57 x 8.50 = 484.50 please show me the formula in doing it
Answer: 57 x 8.50 = 484.50
Step-by-step explanation:
Answer: 484.50
Step-by-step explanation:
Multiply without the decimal first:
57 x 850 = 48,450
Now you add the decimal to equation.
You move the decimal as how many numbers there are behind it.
84(.)50(.)
When you count to put the decimal count it from right to left.
484.50
round 6,577 the nearest thousand
Answer: 7,000
Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up
Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.
Answer:
[tex]1\%[/tex]
Step-by-step explanation:
Simple interest (I) = $160
Principal amount (P) = $2000
Time period (t) = 8 months
Let R denotes rate of interest.
Relation between simple interest, principal amount, time and rate of interest is given by [tex]I=\frac{PRT}{100}[/tex]
[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]
Answer:
12
Step-by-step explanation:
It would be: r = I * 100 / P * R
r = 160.67 * 100 / 2000 * 2/3
r = 16067*3 / 4000
r = 48201 / 4000
r = 12