Given:
The function is
[tex]f(x+2)=2x+3[/tex]
To find:
The value f'(4).
Solution:
We have,
[tex]f(x+2)=2x+3[/tex]
Putting [tex]x+2=t[/tex] and [tex]x=t-2[/tex] we get
[tex]f(t)=2(t-2)+3[/tex]
[tex]f(t)=2t-4+3[/tex]
[tex]f(t)=2t-1[/tex]
Differentiate with respect to t.
[tex]f'(t)=2(1)-0[/tex]
[tex]f'(t)=2[/tex]
At [tex]t=4[/tex], we get
[tex]f'(4)=2[/tex]
Therefore, the value of f'(4) is 2.
please help i’m not tryna fail algebra i can’t figure this out(solve by substitution and show steps please)
Answer:
y=8-6x
Step-by-step explanation:
Answer:
y=0
x=4/3
Step-by-step explanation:
6x+y=8
x =8-y/6
substitute 8-y/6 in second equation
42*8-y/6 +7y=56
7(8-y) +7y=56
56-y+ 7y=56
-y+ 7y=0
6y=0
y=0
6x+y=8
6x+0=8
x=8/6
x=4/3
Give three Consecutive iintegers in descending order such that (-4) is the smallest
Answer:
-2, -3, -4Step-by-step explanation:
Three consecutive integers in descending order are:
-2 > -3 > -455 employees increased by 20 percent
please help!
Answer:
I believe its 66
Step-by-step explanation:
55×20%=11
55+11=66
Multiply.
Answer as a fraction. Do not include spaces in your answer.
Answer:
Multiply what?
Step-by-step explanation:
Somebody please help me
Answer:
169 [tex]cm^2[/tex]
Step-by-step explanation:
The surface area is the two-dimensional distance around a figure. In essence, if one was going to wrap the figure in paper, the surface area would be the amount of paper one would need. To find the surface area, one would have to find the area of each individual face, and add up the values.
(7) * (5) = (35)
(9) * (5) = (45)
(7) * (5) = (35)
([tex]\frac{1}{2}[/tex]) * (6) * (9) = (27)
([tex]\frac{1}{2}[/tex]) * (6) * (9) = (27)
Add up all of the values:
(35) + (45) + (35) + (27) + (27) = 169
Jason bought a total of 20 medium and large pumpkins. If he bought 6 more large pumpkins as medium pumpkins, how many large pumpkins did he buy?
Answer:
26 large pumpkins
Step-by-step explanation:
HELPP ME PLEASE ITS DUE TODAYY!!!!!
Answer:
add a point 4 units to the left
Step-by-step explanation:
Answer:
Add a point 5.5 units right of 1
Step-by-step explanation:
I used a ruler, and found out that the distance between 0 and 1 is 1cm. The distance between 0 and x is 2.5cm. Since x is to the left of 0, x = 2.5.
4 - -2.5 = 4 + 2.5 = 6.5, or 6.5 units right of 0, which is the same as 5.5 units right of 1.
£760 is divided between Stephen, Bridget & Caroline so that Stephen gets twice as much as Bridget, and Bridget gets three times as much as Caroline. How much does Bridget get? £
Answer: Out of £750 and 3 bums
Caroline = 225
Bridget = 225 * 3 = 675
Step-by-step explanation:
Answer:
£228Step-by-step explanation:
Given:
Total = £760Stephen = s, Bridget = b, Caroline = cWe have equations:
s + b + c = 760b = 3cs = 2bSubstitute s with b and b with c as above into first equation:
2(3c) + 3c + c = 7606c + 4c = 76010c = 760c = 76Find b:
b = 3*76 = 228Bridget gets £228
6. Find the values of x and y.
Drawing not to scale
Answer:
y=31°
x=90
step
y=180-59-90
=31
x=90
The area of a triangle is 2x^2 - 11x + 15 square meters. The length of the base of the triangle is 2x-5
meters. What is the height of the triangle?
Answer:
of triangle =12base×height
Area of triangle =2x2−11x+15
base =2x−5
Plugging in the given;
2x2−11x+15=12(2x−5)×height
2x2−11x+15=2x−52×height
2x2−11x+151=2x−52×height
2(2x2−11x+15)=(2x−5)×height
4x2−22x+30=(2x−5)×height
4x2−22x+302x−5=height
Resolving the quadratic equation;
(4x2−22x+30)
Simplifying;
4x
Answer:
2x-6
Step-by-step explanation:
height : 2(2x^2-11x+15)/(2x-5)
(4x^2-22x+30)/(2x-5)
Δ/4 = 121 - 120 = 1
x1 = (11+1)/4 = 3
x2 = (11-1)/ 4 = 5/2
4(x-5/2)(x-3)
(4x-10)(x-3)/(2x-5)
2(2x-5)(x-3)/(2x-5)
2x-6
Proof
(2x-6)(2x-5)/2
2(x-3)(2x-5)/2
2x^2-5x-6x+15
2x^2-11x + 15
Status
eview
А
D
C
ZABC is bisected by BD. If m2DBC = 65°,
then m ABC = [ ? °
Enter
I’ll mark whoever helps brainliest
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20. James has dimes
The question is incomplete:
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?
a. $10.00
b. $6.20
c.$15.50
d.$25.00
Answer:
d.$25.00
Step-by-step explanation:
With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:
x+y=162 (1)
0.10x+0.25y=31.20 (2), where:
x is the number of dimes
y is the number of quarters
First, you can solve for x in (1):
x=162-y (3)
Then, you have to replace (3) in (2) and solve for y:
0.10(162-y)+0.25y=31.20
16.2-0.10y+0.25y=31.20
0.15y=31.20-16.2
0.15y=15
y=15/0.15
y=100
Finally, you have to replace the value of y in (3) to find x:
x=162-100
x=62
Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:
100*0.25=25
According to this, the answer is that James has $25 in quarters.
4. A car traveled 110 miles in 2 hours.
What unit rate describes the speed of
the car?
Answer The question PLZZ no WEBSITE ANSWER
Answer:
The car is traveling 55 miles per hour
Step-by-step explanation:
Total miles divided by hours
110/2
55
Answer:
55 miles per hour
Step-by-step explanation:
110/2=55
sarah and janie both have lollipops. Janie has 36 lollipops. This is 9 times as many as sarah. How many lollipops does Sarah have
Answer:
4
Step-by-step explanation:
Hello,
36 / 9 = 4
This cylinder has a volume of 12cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
h
Answer:
0.9554
Step-by-step explanation:
d = 4
r = d/2
r = 4/2
r = 2
V = 12
V = pi r^2 h
V = 3.14 * 2^2 * h
12 = 3.14 * 4 * h
12 = 12.56 * h
h = 12 / 12.56
h = 0.9554
Why is the number that satisfies this equation not a real number?
x^2=--1
Answer:
I assume that says [tex]x^2=-1[/tex], but that is the case because when we square a number, we can NEVER get a negative number. The smallest square we can get is 0. 1^2 is 1, and no real number squared gives us a negative number.
Step-by-step explanation:
can someone please help me with this question? (no links!)
Answer:
75 degrees
Step-by-step explanation:
angles 6 and angle 2 are congruent/corresponding, so they have the same angle measure
Hope this helped! Have a nice day, and feel free to follow me on insta (leo_g_rios)
-
Answer:
75
Step-by-step explanation:
they the same
please help me i dont have a lot of time left
Answer:
its 20 degrees
Step-by-step explanation:
vertical angles makes it 20degrees
please help :) i will give brainlyest
Answer:
7
Step-by-step explanation:
Drag one of the arrows from -6 to 7
Which choice represents the equation
a? + b2 = c2 after it has been solved for b?
a+7=a-...
a-18=a+...
What is the value of x ??
Answer:
b. 8
Step-by-step explanation:
Solve for Y. Pls and thank you.
Answer:
y = 3
Step-by-step explanation:
Answer:
y= 3
Step-by-step explanation:
Find the slope of the line passing through the points D(10,8) and E(-4, 4)
Answer: 2/7
Step-by-step explanation:
Slope form: y2-y1/x2-x1
4-8/-4-10 ==> -4/-14 ==> 2/7
A child released a balloon into the air 45 minutes ago, and the air forced the balloon to travel 5 miles before another child found it. At what speed did the balloon travel?
I can’t figure it out
5 = 5 ( x + 6 )
Answer:
Step-by-step explanation:
Solution:
= − 5
please help me im struggling
Answer:
it's. -7 -2
7 0
Step-by-step explanation:
because to find X we have to add B with A
X-A=B
or,X=B+A
30 points!!! Find the area of each. Round to the nearest tenth. Do not include units in
your answer (ie. ft, in, km, etc)(triangle-FR) *
Answer:
Area of triangle = 8.9
Area of parallelogram = 53.4 yd² (option A)
Step-by-step explanation:
✔️Area of the triangle = ½*base*height
base = 3 m
height = 5.9 m
Area of triangle = ½*3*5.9
Area of triangle = 8.85 ≈ 8.9 (nearest tenth)
✔️Area of parallelogram = base*height
base = 8.9 yd
height = 6 yd
Area of parallelogram = 8.9*6 = 53.4 yd²
the length of a rectangle is 1/4 ft. it's width is 1 1/2 ft. what is the perimeter?
Answer
11.5 ft
Step-by-step explanation:
Perimeter of rectangle:2(l+w)
l :1/4 ft w:11/2 ft
2(1/4+11/2)=11.5
Step-by-step explanation:
11/8 is the answer.
( I am not sure about my answer so I am extremely sorry:/ )
1. Jake makes $11.00 per hour. He is getting a raise of 20% to his hourly pay. How much
will he make per hour after his raise? Show your calculation.
Answer:
$11,00 x ( 100% + 20%) = $13.2 /h
Step-by-step explanation: