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].
How does the denominator of the sum, 1 5/12, compare to the denominators of the addends, 2/3 and 3/4?
Answer:
There denominators are same, ie = 12
Step-by-step explanation:
Sum , 1 + 5/12 = (12 + 5) / 12
= 17 / 12
Sum , 2/3 + 3/4 = (8 + 9) / 12
= 17 / 12
If we give the cashier a $20 bill for a shirt that costs $22.95, how much more do we owe the cashier?
Answer:
$2.95
Step-by-step explanation:
$22.95-$20
What is the measure of angle D?
A. 75°
B. 80°
C. 95°
D. 110°
Answer:
110%
Explanation:
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)
Simplify the expression 7h +(-5.9d) – 17+4d -3.4h
Please help me need it done ASAP
Answer:
−1.9d+3.6h-17
Step-by-step explanation:
You just need to combine like terms ;)
Hope it helps, let me know
help me solve this problem please and explain if u can
is this flvs
Step-by-step explanation:
PLEASE HELP ME!! please explain your answer so I know how to do it next time! The question is number 7
Answer:
Step-by-step explanation:
How to find speed-
Use formula s= d/t
dist.= 50 m
t=2.25 hrs
S=22.2
(I used calculator u can too)
The distance a person can travel varies directly with the time they have been traveling if going at a constant speed. If Phoenix traveled 78 miles in 1.5 hours while going at a constant speed, how far will he travel in 2 hours at the same speed?
Answer:
answer is 175 miles, have a good day <3
solve this equation -3/4x + 6 > -3=
Answer:
[tex]x\leq 0 or x \geq \frac{1}{12}[/tex]
Please help ill give brainliest to THE RIGHT ANSWER
Answer:
It is B
Step-by-step explanation:
Hope I helped
A cube has a side length of 4 feet. What is the volume of the cube?
48 ft3
64 ft3
96 ft3
12 ft3
Answer:
64 square ft^3
Step-by-step explanation:
If the side lengh is 3 then you would have 4^3 which is 64.
Answer:
64
Step-by-step explanation:
Determine if the triangles are similar. If yes, write a similarity statement and give the scale factor. if NO explain why the triangles are not similar.
How many minutes would it take a drone to travel 100 km at a speed of 40 km/min?
Answer:
Divide
Step-by-step explanation:
If you divide them then you get 2.5
Answer:
Kilometers per hour is often used for car speeds. One hour at this speed moves you 100 km
Step-by-step explanation:
i have a headache sorry if wrong
Plz help due tomorrow ill give Brainlyest if correct
Answer:
a = 3.6
Step-by-step explanation:
[tex] \frac{2}{3} (6a + 9) = 20.4 \\ \\ \bigg( \frac{2}{3} . \boxed{6a} \bigg) + \bigg(\boxed{ \frac{2}{3}} . {9} \bigg) = \boxed{ 20.4} \\ \\ (2.2a) + (2.3) = 20.4 \\ \\ 4a + 6 = 20.4 \\ \\ 4a = 20.4 - 6 \\ \\ 4a = 14.4 \\ \\ a = \frac{14.4}{4} \\ \\ a = \boxed{3.6}[/tex]
For problem 5, use the ordered pairs to answer the following
question. SHOW YOUR WORK FOR FINDING SLOPE.
Answer:
no
Step-by-step explanation:
Because the lines are parallel
A company makes 140 bags. 28 of the bags have buttons but no zips. 47 of the bags have zips but no buttons. 27 of the bags have neither zips nor buttons. How many bags have zips on them?
Answer:
95 bags have zips.
Step-by-step explanation:
140 - total bags
28 - buttons + no zips
47 - no buttons + zips
27 - no buttons + no zips
----
140 - 28 = 112
112 - 27 = 85
Help me with this please! Will mark Brainliest!!
Answer:
1
Step-by-step explanation:
5+1=6
Quick help please!!!
Answer:
D
Step-by-step explanation:
this isnt highschool, u are dum
A recipe for cookies calls for
cups of chocolate chips for every 3 dozen cookies made. How many cups of chocolate chips would be needed for 7 dozen cookies?
A.
B.
C.
D.
For 7 dozens cookies 3 1/2 cups needed.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 3 dozen cookies = 1 1/2 cups = 3/2 cups
For 1 dozen cookies = 3/2 * 1/3 = 1/2 cups needed
So, for 7 dozen cookies = 1/2 * 7
= 3 1/2 cups needed
Hence, for 7 dozens cookies 3 1/2 cups needed.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
I need help due in a Hour
Answer:
2.6
Step-by-step explanation:
can yall pls help wit this pls asap
i will mark you brainliest if u are correct first
Answer: 4955.30
Step-by-step explanation:
F = P (1+i)^n
F = $4000 (1+.055)^4
F = $4955.2986
Which will be 4955.30
Answer:
A. $4955.30
Step-by-step explanation:
Look at the equation
A(t)= P(1+r)^t
In this equation,
A(t) is your amount after a period of time,
P is the initial balance stated in the question (4000)
r is the rate (must be converted to a decimal) as stated in the question (0.055)
t represents the amount of time that has passed (4 years)
Whenever you plug this into the equation, you get
A(t) = 4000(1.055)^4 and this can be plugged into a calculator to get your answer which will be
4955.29 (round up to .3) and your final answer is A. 4995.30
In order to convert from percent to decimal you just need to move the decimal to the left two places
5.5 becomes 0.055 after the decimal is shifted
When you multiply 2 decimals, how do you know where to place the comma in the product?
Answer:
you mean the decimal point?
Step-by-step explanation:
You will know when you cross the decimal point when multiplying.
Answer: it would just be like putting a comma normally, just all you have to do is get your new number but then just add both the comma and decimal it shouldn’t effect on where its put! If that’s what your asking!
Step-by-step explanation:
Help I will be marking brainliest!!!
A. 22
B. 44√2
C. 22√2
D. 44
Show work, if possible. Thanks❤️
Answer:
I'm doing some of these questions now in my math class. I think it's D) 44 sorry if I'm wrong tho
Answer:
Step-by-step explanation:
Since the hypotenuse is 44 and the two sides are equal to FT we can say
2(FT)^2=44^2
FT^2=968
FT=22(2^(1/2))
So C is the correct answer.
it’d be cool if you could answer at least one of these with work please.
Answer:
11: 416
Step-by-step explanation:
so the area of the rectangle is 20*16 and you add the triangle's area which is 96. 320+96=416. I am pretty sure that is the answer. ( Sorry if my drawing is bad) :D
if p q by the consecutive interior angles theorem which angles must be supplementary
Answer:
Angles 3 and 8 are consecutive interior angles
Step-by-step explanation:
Here, we want to use the consecutive interior angles theorem to find the supplementary angles
We start by looking at the transversal line
two angles that are directly above each other on the two lines are consecutive interior angles that are supplementary
We have this two as;
Since it is P and Q that are parallel, it is angles 3 and 8 that are consecutive interior angles
The length of a picture frame is inches more than the width. For what values of x is the perimeter of the picture frame greater than inches?
9514 1404 393
Answer:
x > 35
Step-by-step explanation:
The perimeter is twice the sum of length and width. You want x such that ...
P > 156
2(x +(x+8)) > 156
4x +16 > 156 . . . . . simplify
x +4 > 39 . . . . . . . . divide by 4
x > 35 . . . . . . . . . . . subtract 4
The perimeter of the frame will be greater than 156 inches for x > 35.
Find the volume: 7cm 16 cm 8 cm
Answer: Greetings my dude. The volume of the triangular prism is around 1,138 Centimeters Cubed.
Hope this helps!
Answer:
volume = length * breadth * height
= 16*7*8
=896
find the measure of all of the angles on the diagram
Answer:
Angle 1: 135*
Angle 2: 45*
Angle 3: 45*
Angle 4: 135*
Angle 5: 135*
Angle 6: 45*
Angle 7: 45*
Angle 8: 135*
Step-by-step explanation:
So we have angle 2, 45*, we can subtract 45 from 180 to get the angle for 1. Since everything is the same size as either 1 or 2 we can just plug in the bigger angle number we have for it, ex 4= 135 and so is 7.
If you don't understand something please don't hesitate to ask.
Answer:
Step-by-step explanation:
∠2 = 45
∠3 = ∠2 {Vertically opposite angles}
∠3 = 45
∠7 = ∠3 {Corresponding angles}
∠7 = ∠45
∠6 = ∠7 {Vertically opposite angles}
∠6 = 45
∠1 + ∠2 = 180 {Linear pair}
∠1 + 45 = 180
∠1 = 180 -45
∠1 = 135
∠4 =∠1 {Vertically opposite angles}
∠4 = 135
∠8 = ∠4 {Corresponding angles}
∠8 = 145
∠5 = ∠4 {Alternate interior angles}
∠5 = 145
the_______ coordinate located at the highest or lowest point on a parobla
Answer:
Vertex
Step-by-step explanation:
Lewis checked the balance of his savings
account every month for 4 months. The
balances were $300, $410, $520, and
$630. Would a linear or exponential
function better represent the data?
Explain.
Answer:
Linear
Step-by-step explanation:
The balances each go up by $110
300 + 110 = 410
410 + 110 = 520
520 + 110 = 630