Given this equation y = x2 + 2x -5 , Find the average rate of change over the interval 2 ≤ x ≤ 4 ?
Answer:
The average rate of change is 8.
Step-by-step explanation:
We are given the equation:
[tex]y=x^2+2x-5[/tex]
And we want to find the average rate of change on the interval [2, 4].
When finding the average rate of change, we essentially find the endpoints and then find the slope between them.
So, the endpoints are:
[tex]y(2)=(2)^2+2(2)-5=3[/tex]
And:
[tex]y(4)=(4)^2+2(4)-5=19[/tex]
So, the average rate of change between them is:
[tex]\displaystyle m=\frac{19-3}{4-2}=\frac{16}{2}=8[/tex]
Are the two triangles above similar? Why or why not?
A. Yes, they are similar by the AA similarity postulate.
B. Yes, they are similar by the SAS similarity theorem.
C. No, there is not enough information given to prove similarity.
D. No, right triangles are never similar.
No, Triangles with one congruent angle are never similar so the correct option is D.
What is similar triangle?Similar triangles are triangles that have constant form, however their sizes might vary. All equal triangles, squares of any aspect lengths are samples of similar objects. In other words, if 2 triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
For AAA similarity postulate; Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure.
If the triangles, have only 1 congruent angles , it can not be said similar because for a triangle to be similar , minimum two criteria must be equal .
Hence we can conclude that triangles with one congruent angle are never similar.
To know more about similar triangles , visit:
brainly.com/question/14285697
#SPJ5
What is the volume of the rectangular prism shown?
Answer:
18 3/64
Step-by-step explanation:
i did test trust me
Simplify the expression.
- 2.6f +0.2f - 15 - 3
i need help with this, anyone?
Answer: -2.4f-18
Step-by-step explanation:
Add 0.2f to -2.6f then subtract 3 from -15
Which angle pairs are supplementary? Check all that
apply.
3
6
4
5
21 and 22
0 24 and 23
24 and 25
27 and 25
23 and 26
2.
7 8
Answer:
Option B, C and E are supplementary angles.
Step-by-step explanation:
We need to find supplementary angles.
Supplementary angles are those angles who sum up to 180 °.
I have attached picture for reference.
Looking at the figure given:
We have supplementary angles:
∠4 and ∠3∠4 and ∠5∠5 and ∠6∠7 and ∠8∠3 and ∠6But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6
So, Option B, C and E are supplementary angles.
The angle pairs that are supplementary are <4 and 3, <4 and 5 and <3 and <6.
What are supplementary angles?A supplementary angle is an angle that add up to 180 degrees. For example 100 and 80 degrees are supplementary angles.
To learn more about supplement angles, please check: https://brainly.com/question/2766460
A cyclist rides her bike at a speed of 12 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
PLS HELP
Answer:
answers below :)
Step-by-step explanation:
Hi there!
with a ratio of 1:1.6, we can find these answers.
1. 19.2 km, multiply 12 by 1.6
2. 96. km, multiply 12 by 6 to find the total amount of miles traveled, then
multiply 60 by 1.6 to get 96.
I hope this helps!
1. Write the linear equation for a line with a slope of 1/2 that goes through the point (-1,
0).
Answer:
uhuhhubuggyugyug
uiyuyuh
jhjhh
Step-by-step explanation:
y7gukgyfkjiyfikyutgikuygtujki
ill give brainliest if correct
Answer:
no its A. kramer sells apples for $0.22 each
Step-by-step explanation:
A game decreased in price by 1/6
After the reduction it was priced at £75.
What was the original price of the game?
Using a standard deck of 52 cards, what is the probability of getting 2 cards that are kings if you pull one card at a time and replace them? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 12
B. 1/169
C. 11 1/8
D. 60%
E. 0.5
F. 2/112
G. 25%
H. 0.25
I. 25
Answer:
i dont knw
Step-by-step explanation:
Answer:
B,C,D
Step-by-step explanation:
I'm not honestly sure I'm sorry if it's wrong
What is the total surface area of the square pyramid in square inches? *
11
11.5
7
Answer:
base edge? height?
Surface area of a square pyramid:
s = length of base edge.
h = height of pyramid from base to top.
A = surface area.
[tex] A \: = s² + 2s \sqrt{\frac{a^{2}}{4}+h^{2}}[/tex]
√ = square root, root of 2, opposite of square.
² = square, power of 2, times itself once.
√n × √n = n
n × n = n²
Is graphite all of the following?
Pure substance
Element
Compound
And Molecule
Pls help asap
Answer: Yes!
Step-by-step explanation:
Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.
1) All cars are blue. (2) All pigs have wings. Therefore, (3) All buses have three wheels. Question 2 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.
Answer:
Fails the true premises test and fails the proper form test
Explanation:
A valid argument must pass the true premises test and the proper form test.
True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)
Plz I will give brainliest
Answer:
its yellow
Step-by-step explanation:
i am not sure answer is A remember not sure
THIS IS URGENT IT IS DUE TODAY I NEED IT FAST, I ONLY NEED THE STEPS NOT THE ANSWER SO PLEASE SOMEONE HELP ME IT WOULD BE MUCH APPRIECIATED.
Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk produced, in gallons per week. The least-squares regression line produced from a random sample is . Based on the model, what is the difference in predicted amounts of milk produced between a cow of 5 years and a cow of 10 years
Complete question :
Dairy farmers are aware there is often a linear relationship between age, in years, of a dairy cow in the amount of milk produced, in gallons per week. The least squares regression line produced from a random sample is milk=40.8-1.1(Age). Based on the model, what is the difference in predicted amounts of milk produce between a cow of five years in a cow of 10 years?
Answer:
A cow of five years is predicted to produce 5.5 more gallons of milk per week.
Step-by-step explanation:
Given the regression model :
milk=40.8-1.1(Age)
Milk produced by 5 year old cow using the model :
Milk produced = 40.8 - 1.1(5)
Milk produced = 40.8 - 5.5
Milk produced = 35.3
Milk produced by 10 year old cow using the model :
Milk produced = 40.8 - 1.1(10)
Milk produced = 40.8 - 11
Milk produced = 29.8
Difference in volume of milk produced :
Age 5 milk producrion- Age 10 milk production :
35.3 - 29.8
= 5.5
Answer:
Answer B
Step-by-step explanation:
The difference of 5 years produces a 5.5 gallon per week difference in favor of the younger cow.
At one store, Alex saved $10 with a coupon for 50% off her total purchase. At another store, the $28 she spent on books is 56% of her total bill. How much did Alex spend in all at the two stores?
21 miles equal how many feet
Answer:
110, 880 feet
Step-by-step explanation:
5,280 feet in one mile x 21 miles
Answer:
110, 880 feet
Step-by-step explanation:
Help! Please Help lol
Please help quick!
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
Enter numbers to evaluate −5−(−7).
‐5 –(‐7)= ‐5 + _______
= ________
Enter numbers to evaluate −5−7.
‐5− 7 = ‐5 + _______
= ________
Answer:
-5+7
=2
-5+-7
=-12
Step-by-step explanation:
It is the same thing with adding its opposite(aka change its sign so addition is being imply)
how many legs are there in 5 dogs and 7 birds
Dog has 4 legs and bird has 2 legs
The 5 for dogs which is 5 ×4 =20
And 7for birds which is 7×2=14
The whole answer is 20+14 =34 legs in both animals
Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6
What’s the surface area in square units if right I’ll mark brainleiest
Answer: 349 square units
============================================
Work Shown:
L = 5.5 = lengthW = 5 = widthH = 14 = heightSA = surface area of rectangular prism
SA = 2*(L*W + L*H + W*H)
SA = 2*(5.5*5 + 5.5*14 + 5*14)
SA = 2*(27.5 + 77 + 70)
SA = 2*(174.5)
SA = 349
The surface area is 349 square units.
Answer:
The answer is 349
Step-by-step explanation:
154+140+55=349
Sam has 35 rubbers.He wants to share them equally between 3 of his friends .How many will each friend receive?How many are left over?
Answer:
11 will be shared out and there will be 2 rubbers left.
Step-by-step explanation:
the last number that 3 goes into before 35 is 33. 33 ÷ 3 = 11. So each friend gets 11 rubbers. then from 33, there will be 2 rubbers left.
HHHEEEeLLLPPPP MMEEe
v = 4/3 × 3.14×r^3
=4/3×3.14× (1.5)^3
= 14.13
Alexander is a waiter. He gets paid $3.25 per hour plus tips based on his performance. Which expression represents Alexander's salary?
Answer:
f(x) = 3.25x + tips
x = hours
Step-by-step explanation:
Step-by-step explanation: We know how much Alexander gets paid ($3.25) but we don't know how many hours he works. So, the equation will contain a variable.
H will be our variable, it will represent hours.
Therefore, the answer is: f(h) = 3.25 + tips
Definitions:
Variable: A letter representing the unknown.
Equation: A mathecial setence.
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
130 is a 13.333% or 13% decrease of 150.
i can’t seem to find any answers for this can anyone help?
Answer:
2 2/3
Step-by-step explanation:
- - is the same as + so it's actually 2 1/3 + 5
PLEASE HELP!!!: Parallel lines 1 and m are intersected
by transversal t as shown below. Which
of the following angles are alternate
interior angles?
A researcher wants to determine if college students typically drink more than 3 times per week. She collects data on 125 college students. From the sample, she finds that they drank an average of 3.5 times per week, with a standard deviation of 2.3 drinks. Use a 5% significance level for any testing. Based on the scenario above, which of the following is TRUE regarding the type of test that would need to be performed?
a. It is a two-tailed test.
b. It must be completed using the critical value approach.
c. It is a one-tailed test.
d. We reject the null and prove our claim.
e. We would need to estimate the significance level from the data.
f. Hypothesis testing cannot be performed on percentages.
Answer:
C: It is a one-tailed test.
Step-by-step explanation:
We are told the researcher wants to determine if college students typically drink more than 3 times per week.
This means the null hypothesis is;
H0: μ ≥ 3
this indicates that it's a one tailed test as the null hypothesis is only to the right side of 3 and thus just one tail.
This question will be solved using p-value approach since we are given population mean, sample mean, sample size and standard deviation.
We can't reject the null without finding out the p-value and seeing if it is less than the significance value given.
Hypothesis testing can be done done proportions or percentages.
Thus, the correct option is one-tailed test.