Answers
Answer:
Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.
Related Questions
if h(x) =5 for the function h(x) =2x+1, what is the value of x?
12
11
2
Answers
Answer:
2
Step-by-step explanation:
5=2x+1
5-1=2x
2x=4
x=2
Answer:
x = 2
Step-by-step explanation:
2x+1 = 5
-1 -1
-------------
2x = 4
x = 2
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
Answers
Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.
The equation is:
[tex]y(x) = \frac{9x^2}{x + 2}[/tex]
The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].
Applying the quotient rule, we have that:
[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]
Then, when x = 1:
[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]
The slope of the line tangent to the graph of y at x = 1 is of 5.
You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177
(−3, −1), (−1, 5) Find the slope of the line that passes through the pair of points.
Answers
[tex]slope = \frac{ 5 - ( - 1)}{ - 1 - ( - 3)} \\ [/tex]
[tex]slope = \frac{5 + 1}{ - 1 + 3} \\ [/tex]
[tex]slope = \frac{6}{2} \\ [/tex]
[tex]slope = 3[/tex]
What is the circumference of the circle shown below? Use
3.14 for it, round your answer to the nearest tenth.
A) 4.4 yd
B) 8.8 yd
C) 43.9 yd
D 87.9 yd
Answers
Answer:
Its B
Step-by-step explanation:
Suppose there is a 1.4 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 52.8, what will be the temperature when the plane reaches an altitude of 11,000?
Answers
Answer:
37.4
Step-by-step explanation:
1.4 times 11 and subtract that from 52.8
I Was Not That Day On College, I Don't Have The Formulas To Study
Answers
Answer:
check online for more information
100 POINTS AND BRANIEST
3) Compare the two groups of data. Which BEST describes data? A) on average boys are 3 centimeters taller than girls B) on average boys are 6 centimeters taller than girls C) on average boys are 9 centimeters taller than girls D) on average boys are 12 centimeters taller than girls
Answers
B
Step-by-step explanation:
calculate how long the lines are
Answer:
A 3-column table with 4 rows. Column 1 is labeled Number of Girls with entries 2, 8, 0, 4. Column 2 is labeled Height in Inches with entries 51, 52, 53, 54. Column 3 is labeled Total Height with entries 102, 416, 0, 216. The national average height for girls in the sixth grade is also 52 inches. Find the average height of the girls in this class. The total number of girls is . The total height of the girls is inches. The expression to find the mean is . The average height of the girls in this class is inches.
Step-by-step explanation:
mark me brainliest ok
what is the answer to this question?
posted a picture for better understanding:)
Answers
Answer:
-1.5 + 27
25.5
Step-by-step explanation:
-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5
Write 3,408,000 in expanded form.
Answers
Answer:
3.408 × 10 ^6
Step-by-step explanation:
Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?
Answers
Answer:
90 years
Step-by-step explanation:
if Kripa's age = x
Father's age = x + 40
Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
grandfather's age = x + 75 = 90 years
Answer:
90 yearsStep-by-step explanation:
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
Grandfather's age = x + 75 = 90 years
Can the sum or multiplication of two palindromic numbers be another palindromic number?
Answers
Answer: No.
Step-by-step explanation:
If you multiply 1001 by 1001 it's not another palindromic number.
Gemma and Leah are both jewelry makers, Gemma made 106 beaded necklaces. Leah
made 39 more necklaces than Gemma.
Each necklace they make has exactly 104 beads on it. How many beads did both
Jewelers use altogether while making their necklaces? How many necklaces did Gemma and Leah each make
Answers
Answer:
Gemma made $34 more than Leah.
Step-by-step explanation:
Gemma made number of beaded necklaces = 106
Leah made 39 more necklaces than Gemma.
Leah made number of beaded necklaces = 106 + 39 = 145
a. There are 104 beads on each necklace.
The total number of beads used altogether
= (106 × 104) + (145 × 104)
= 11,024 + 15,080
= 26,104
b. Gemma sold her 106 necklaces for = $14
Total price of her necklaces = 106 × 14
= $1,484
Leah sold her 145 necklaces for = $10
Total price of her necklaces = 145 × 10
= $1,450
Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00
Therefore, Gemma made $34.00 more money than Leah.
If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Answers
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.
I have a Statistics question
Answers
Answer:
okayyyyyyyyyyyyyyyy
Step-by-step explanation:
have a nice day
classyfying triangles unit 4
Answers
Answer:
What do you mean by that?
Step-by-step explanation:
Answer:
Is there more to the question? or a link/ picture you forgot to add?
Step-by-step explanation:
Help help math math please pelsss
Answers
Answer:
116°
Step-by-step explanation:
together both angles equal 180 because they are on a straight line and are opposite of each other.
180 - 64 = 116
I hope this helps!!
What is the equation for the graph shown?
Answers
Answer: y=2/3x+4
Step-by-step explanation:
this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.
going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.
let’s plug this into our equation. Y=2/3x +b
lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.
our final equation is: y=2/3x +4
i hope this is helpful.
10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
hours as a telemarketer. His total pay was $240.30. The week before, he made
$300.00 for 19 hours at the shoe store and 22 hours telemarketing. Find his hourly
wage for each job
Answers
Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
Step-by-step explanation:
Let s = hourly salary at the shoe store.
Let t = hourly salary as a telemarketer.
14s + 19t = 240.3
19s + 22t = 300
Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.
266s + 361t = 4565.7
(+) -266s - 308t = -4200
----------------------------------------
53t = 365.7
t = 6.9
Substitute 6.9 for t in the first equation and solve for s.
14s + 19(6.9) = 240.3
14s + 131.1 = 240.3
14s = 109.2
s = 7.8
Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,
Answers
2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell
Answers
IT SUPPOSED THE BE LAKE CLIPSON
find the slope and y-intercept of line x÷a+y÷b=1
Answers
Answer:
slope:
-b/a
y-intercept:
1
how do I do this problem?
Answers
Answer:
Yes
Step-by-step explanation:
4 is greater then or equal to -6+5
4 is greater then -1 so the equation is true
If G&M Foods issues a $1,000 bond with an interest rate of 3.5 percent and a maturity date of January 1, 2025, G&M is agreeing to pay the bondholder __________ interest each year until January 1, 2025, when it must repay the full $1,000.
Answers
G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
Using this formula
Interest=Bond amount× Interest rate
Where:
Bond amount=$1,000
Interest rate=3.5% or 0.035
Let plug in the formula
Interest=$1,000×0.035
Interest=$35 each year
Inconclusion G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
Learn more about interest rate here:https://brainly.com/question/25545513
2. A bakery makes muffins and cookies. Muffins are sold 18 to a box and cookies are sold 25 to a bag. They do not sell individual muffins or cookies. (a) On Saturday, the bakery made 1020 muffins. How many full boxes did the bakery use for the muffins they plan to sell on Saturday? Show your work. (b) On Monday, the bakery made 2820 cookies. How many full bags did the bakery use for the cookies they plan to sell on Monday? Show your work. (c) Look at your work from Part (a) and (b). What do the remainders represent in each problem?
Answers
1020 muffins = 1020/18 boxes
= 56.67 boxes
So they used 56 full boxes.
b) if 25 cookies = 1 bag
2820 cookies = 2820/25 bags
= 112.8 bags
So they used 112 full bags.
c) the remainders from a and b represent muffins and cookies left over.
. There are 11 boys and 5 girls that tried out to
sing a duet in a chorus concert. If the
director must choose two, what is the
probability that both students chosen are
boys?
Answers
We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same probability of being chosen.
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
If you want to learn more, you can read:
https://brainly.com/question/1349408
which values of x are solutions to the equation below?
Answers
Answer:
-5,5
Step-by-step explanation:
move the constant to the right to make it
3x^2=33+42
3x^2=75
divide both sides by 3
x^2=25
sq root of 25 is 5 and -5
...................................................................
Answers
plz write your proper question
13. The function y = 40(x - 1) + 70 can be used to determine the cost in dollars
for renting a trampoline park for a birthday party for x hours. What is the rate of
change of the cost in dollars to rent the trampoline park with respect to time?
A
$30 per hour
$40 per hour
B
с
$60 per hour
D
$110 per hour
Answers
Step-by-step explanation:
the function actually is
y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30
still, the slope (the factor of x) is 40.
that means y (the cost) increases by 40 for every additional hour (x increases by 1).
so, the rate of change (slope) is 40/1 = $40 per hour.
Question is in image below
A lamppost is 6 feet high and casts and 8 foot shadow. At the same time of day, a flagpole near the lamppost cast a 20 foot shadow. Using the properties of similar triangles, find the height, H, of the flagpole
Answers
Answer:
15 ft.
Step-by-step explanation:
I will assume that either both objects are standing straight. We can use similar triangles.
We can see that the side 8 is similar to the side 20, since they are both shadows. Therefore, we can set up an equation:
[tex]\frac{6}{8} =\frac{x}{20}[/tex]
we can cross multiply and get:
8x=120
solve for x:
x=15
Therefore, the lamppost must be 15 feet tall (unless it fell down but we won't talk about that)
opposite = 1.5.
adjacent = 4.
find the acute angle
Answers
Answer:
Step-by-step explanation:
tanθ = opp/adj
θ = arctan(1.5 / 4)
θ = 20.55604521958346...
θ = 20.6°
Answer
20.56
Step-by-step explanation:
tan∅=opposite/adjacent
=1.5÷4
=0.375
then to get ∅ find the tan inverse of 0.375 you'll get 20.55604...
put it in two decimal point...20.56°