Answers
Answer:
Step-by-step explanation:
Given
f(x) = 4x + 7
so
f(a + h) = 4(a + h) + h
= 4a + 4h +h
= 4a + 5h
f(a) = 4a + 7
now by the question
[tex]\frac{f(a+h) - f(a)}{h}\\=\frac{4a + 5h - 4a + 7}{h}\\=\frac{ 5h + 7}{h} \\= \frac{5h}{h} + \frac{7}{h} \\= 5 +\frac{7}{h}[/tex]
hope it helps :)
Related Questions
someone please help me answer this
Answers
a2+b2=c2
72^2+b^2 = 78^2
5184+b^2 = 6084
b2 = 900
b = 30
Answer:
b = 30 km is the answer
Step-by-step explanation:
a = 72 km
b = ?
c = 78 km
According to the Pythagoras theorem,
a² + b² = c²
72² + b² = 78²
5184 + b² = 6084
b² = 6084 - 5184
b² = 900
b = 30 km
∴ b = 30 km is the length of the missing leg
Find the area of this circle. Use 3.14 for .
82 mm
The area of the circle is about mm2.
(Round to the nearest hundredth as needed.
Answers
Answer:
Step-by-step explanation:
What is 82 mm? The radius or diameter?
If the radius is 82 mm, the area is π82² ≅ 21,113.36 mm².
If the diameter is 82 mm, the radius is 41 mm and the area is π41² ≅ 5,278.34 mm²
Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.
Answers
Answer:
f(x)=39.59 (1.09)
Use the model to predict the home’s value.
After 12 years, the home’s value will be about $
111 thousand.
After 35 years, the home’s value will be about $
808 thousand.
Step-by-step explanation:
Edge 2021 :)
A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A general exponential equation is given as,
y = A(1+b)ˣ
Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,
38.9 = A(1+b)ˣ
A = 38.9
Therefore, the equation can now be written as,
y = 38.9(1+b)ˣ
Substitute the second point in the equation,
y = 38.9(1+b)ˣ
62.4 = 38.9(1+b)⁵
1.604113 = (1+b)⁵
1+b = 1.09912
b= 0.09
Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.
B.) Now the value of the house after 12 years,
y=38.9(1.09)ˣ
y=38.9(1.09)¹²
y = 109.41
The home’s value will be about $ 109.41 thousand.
C.) After 35 years, the home’s value will be,
y=38.9(1.09)ˣ
y=38.9(1.09)¹⁰⁰
y = 215.079.68
After 35 years, the home’s value will be about $215.079.68 thousand.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
A cooler contains eleven bottles of sports drink: five lemon-lime flavored, three orange flavored, and three fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.
Answers
Answer:
the reason you picked up more lemon lime drinks was because it had the most in the cooler.
Step-by-step explanation:
Answer:
25/121 chance of grabbing a lemon-lime bottle twice.
Step-by-step explanation:
5/11 chance the first time, times 5/11 for the second time (no removal factor) is 25/121 chace, or around a 20.66% chance.
How Do You Know a Solution is a Solution
Answers
Solution in terms of general solution of an equation means the final answer that is gotten for solving the equation
(2x+1)(x^3+2x^2-3) I need this answer
Answers
Answer:
2^4+5^3+2^2−6−3
Step-by-step explanation:
Distribute, Combine like terms, Rearrange terms from most ^# to least- then -3
Answer:
= 2x⁴+5x³+2x²-6x-3
Step-by-step explanation:
(2x+1)(x³+2x²-3)
= (2x⁴+4x³-6x)+(x³+2x²-3)
= 2x⁴+4x³-6x+x³+2x²-3
= 2x⁴+5x³+2x²-6x-3
A triangle on a sphere could have____
degrees.
A. 175
B. 220
C. 180
D. any number of
Answers
Answer:
I guess it is 180
Step-by-step explanation:
have a good day!
A triangle on a sphere could have 220 degrees. Therefore, the correct option is option B among all the given options.
What is spherical triangle?This spherical triangle is indeed a shape created on a sphere's surface by three. The spherical triangle is indeed a shape created on a sphere's surface by three large circular arcs coming together pairwise at its three vertices.
The spherical triangle, which is frequently referred to as an Euler triangle when three of its vertices are intersected pairwise by circular arcs, is the spherical equivalent of the planar triangle. The spherical triangle, also known as an Euler triangle, is the spherical equivalent of the planar triangle. A triangle on a sphere could have 220 degrees.
Therefore, the correct option is option B.
To know more about spherical triangle, here:
https://brainly.com/question/4637858
#SPJ7
PLS HELP SHOW ALL UR STEPS AND PLZ DONT GIVE ME A LINK TO FOLLOW IM JUS A LITTLE KID TRYNNA GET THIS RIGHT
Answers
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14
what is the sum, product of
[tex]2 {x}^{2} + 3x = 0[/tex]
Answers
And the product of the root is: 0
I hope this helps and have a great week :)
Please help I’ll mark you as brainliest if correct
Answers
Answer:
190.5 Centimeters.
Step-by-step explanation:
Brainliest pls?
The population of racoons in a town increased by 10% from Year 1 to Year 2. The population of racoons in Year 2 is 66.
Answers
Answer:
59.4 year one
Step-by-step explanation:
i dont know if this what you mean but i think this is what you mean
el acensor de 8 es 7'?
Answers
Answer:
La planta de la que ha salido el ascensor es: -1(planta del sótano)
Datos:
Subió 8 pisos
Piso final= 7
Explicación:
Para resolver el enunciado, se debe tener en cuenta que:
Piso final - Piso inicial= 8
Reemplazando y despejando:
7-Piso inicial= 8
Piso inicial= 7-8
Piso inicial= -1
Por lo tanto, ha salido de la planta del sótano
Verificando:
Piso inicial +8= piso final
-1+8= Piso final
7= piso final
Profundiza en matemáticas en brainly.lat/tarea/10834640
Step-by-step explanation:
Answer:
¡Eso es extraño! Espero nunca llegar a ver que me perdería. ¿Sería como si el octavo piso fuera en realidad siete?
Step-by-step explanation:
The sum of two numbers is 66. The smaller number is 18 less than the larger number. What are the numbers?
Answers
x-18=y
x+x-18=66
2x=66+18
2x=84
x=84/2
x=42
y=x-18
y=42-18
y=24
Check:
42+24=66
42-18=24
Good luck.
In a given equation, C varies inversely with D. If C is 50 when D = 11.5 , find C when D = 20
Answers
Answer:
Sry I don't know yrrrrrrrrrrrr
The area of a triangle is 108 square meters. If the height is 12 meters, what is the length of the base?
Answers
Answer:
area of triangle = 1/2 b×h
Step-by-step explanation:
108=1/2×b×12
108×2=12b
216/12=b
18=b
A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed:
Women Men
Sample size 90 100
Sample mean 8.4 years 8.5 years
Sample std 0.6 year 0.5 years
Required:
Perform the appropriate test to see if there is a significant difference in time to completion of medical school between women and men.
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]Null \ H_{yp}: \mu_{men} = \mu_{women}\\\\Alt \ Hyp: \mu_{men} \neq \mu_{women}\\\\Std\ Error\ (SE) = \sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})} \\\\[/tex]
[tex]= \sqrt{(\frac{0.62}{90}) + (\frac{0.52}{100})} \\\\= 0.08[/tex]
[tex]test\ statistic \ t = \frac{(x_1 - x_2)}{SE} = \frac{(8.4 - 8.5)}{0.08} = -1.25[/tex]
Degrees of freedom
[tex]= \frac{(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n_1})^2}{(n_1 - 1)}} + \frac{(\frac{s_2^2}{n_2)^2}}{(n_2 - 1)} \\\\= 174[/tex]
Considering a degree of 5% importance
T for df critical value = 174 and sig level = 0.05 is +1.973
Let area of refusal shall be t < -1.973 or t > +1.973
Because statistical tests weren't in the refusal zone, they may not deny that zero but find that perhaps the argument how both women and men undergo med school is considerably different lengths of time is not significantly supported.
i’ll give brainliest please help it's due in 30 min
Answers
Explanation: x=(5/√8) x (√8 √8)
1) 1Find the measure of the arc or angle indicated by a question mark (?). Assume that lines that appear to be tangent are tangent.
Answers
Answer:
120 degrees
Step-by-step explanation:
55+ 185/2 = 120
What is always true about the net of a prism?
It contains 0 triangles.
It contains 0 or 2 triangles.
O It contains 3 or more triangles.
o It contains 4 or more triangles.
Answers
Answer:
B: It contains 0 or 2 triangles
Step-by-step explanation:
Just took the unit test review on edge and this was the answer
2021
Answer:
it is b the other person is right just did the unit test review
I I
Step-by-step explanation: OO
HELP PLEASEEE!!! ILL GIVE BRAINLIEST
Answers
Answer:
A:8yd
B:2ft
Step-by-step explanation:
A.....All sides of a square are equal and a square has four side so take 32yd/4 and get 8
B.....square root of 4
Which fraction is equivalent to 10/15
Answers
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
divide each number by the GCF of the two: 5
10/5 = 2
15/5 = 3
Simplify it: 2/3
How many pairs of glasses can we make with the foil beads and how many foil beads will be left over ?
Answers
Answer:
I hate to break it, but you ain't giving any information or numbers
count the numbers of triangles in the figures
Answers
Answer:
A
Step-by-step explanation:
look it carefully.
Final Answer for 6.39 ÷ 0.09?
Answers
Answer:
71 is the answer. Good luck
Answer:
71
Step-by-step explanation:
find the length of the third side. if necessary, round to the nearest tenth. 12 5
Answers
Answer:
The Answe for the third side is 60
Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?
Answers
9514 1404 393
Answer:
A. translation 8 left
Step-by-step explanation:
Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.
Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.
Answer:
a is the answer.
Step-by-step explanation:
Jack bought 3 slices of cheese pizza and 4 slices of
mushroom pizza for a total cost of $12.50. Grace
bought 3 slices of cheese pizza and 2 slices of
mushroom pizza for a total cost of $8.50.
a. What is the cost of one slice of cheese pizza and
one slice of mushroom pizza?
b. Jordyn met Jack and Grace for pizza. She bought 5
cheese slices and 2 mushroom pizzas. How much did
she spend?
Answers
B)each slice still costs 1.70 1.70x7=11.90
Write a proportion
Four fruit smoothies use 2 1/2 cups bananas. How many cups of bananas are needed to make six fruit smoothies? Will give Brainest if explained
Answers
Step-by-step explanation:
4 smoothies = 2 1/2 banana
you need to make 2 more smoothies, So half of what you did already.
(2.5)/2= 1.25 then add them (2.5)+(1.25)
6 smoothies = 3.75 or 3 3/4, same thing.
Which of the following is true about the figure?
a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM
Answers
Answer:
a. m<MUC - m<MUP = m<PUC
Step-by-step explanation:
From the options given, the only statement that is true of the figure shown is:
a. m<MUC - m<MUP = m<PUC
Rationale:
m<MUC = m<MUP + m<PUC (Angle Addition Postulate)
Subtract m<MUP from each side
m<MUC - m<MUP = m<PUC
NO FILE HOSTING LINKS!!!!!!
BRAINLIEST!!!
PLEASE HELPP
Answer each part. If necessary, round your answers to the nearest hundredth.
Answers
Answer:
A. 7 pounds
B. $1.60
Step-by-step explanation:
For A you Divide 21 by 3
For B you Divide 14 by 9