Answer:
x=√15 or x = -5 or x=3
Step-by-step explanation:
Possibility one:
x=x^2+x-15
x-x^2=x^2+x-15-x^2 (subtract x^2 from both sides)
-x^2+x=x-15
-x^2+x-x=x-15-x (subtract x from both sides)
-x^2=-15
-x^2/-1=-15/-1 (divide both sides by -1)
x^2=15
square root both sides
x=√15 or x=-√15
Possibility two:
x=(-x^2+x-15)
x=-x^2-x+15 (simplify)
x-(-x^2-x+15)=-x^2-x+15-(-x^2-x+15) (subtract both sides by -x^2-x+15)
x^2+2x-15=0
(x-3)(x+5)=0 (factor left side of equation)
x-3=0 or x+5=0 (set factors equal to 0)
x=3 or x=-5
what is the remainder for the synthetic division problem? (image attached)
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
Create a histogram of this data.
To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data.
Answer:
0-4 should go up to 1 5-9 should go up to 3 10-14 should go up to 4 15-19 should go up to 5 20-14 should go up to 2
Step-by-step explanation:
Hope this helps!
In a classroom, 4/6of the students are wearing
sneakers. This is 3/6more than the fraction of the
students wearing boots. What fraction of the
students are wearing boots? Write an equation
to model the problem.
Hello Please Find The Answer To This Question (easy) Part 2
Answer:
y=[tex]-\frac{1}{6}[/tex]x-2
Step-by-step explanation:
by using this website
its a graphing calculator
desmos. com/calculator
Determining Continuity
Use the graph to answer the question.
Using limits, for which value of x is the function
continuous? Check all that apply.
-2
-1
0
3
5
Answer:
A, C, E
Step-by-step explanation:
i got the question wrong so yall could get it right
how many gallons are in 8 1/4?
The total number of gallons in 8.25 quartz is 2.0625 gallons
Conversion of gallons to quartzAccording to the given question, we are to convert 8 1/4 quartz to gallons
According to the standard conversion
1 gallons = 4 quarts
x = 8.25 quartz
Take the ratio
1/x = 4/8.25
4x = 8.25
x = 8.25/4
x = 2.0625 gallons
Hence the total number of gallons in 8.25 quartz is 2.0625 gallons
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The ratio of the side length of a square to the square's perimeter is always 1 to 4.
Side lenght of square (inches): 1 ,___, ___, 7
Perimeter of square (inches). : 4, 8, 16, ____
Answer:
Side length of square (inches): 1 ,2, 4, 7
Perimeter of square (inches). : 4, 8, 16, 28
Step-by-step explanation:
Ratio is 1:4 (S:P).
So:
#:8, #=2. This is because 2/8 and 1/4 both = 0.25.
#:16, #=4. 4/16=0.25
7:#, #=28. 4x7=28, 7/28=0.25
Hope that helps
Natalie was asked to find the angle measures of a triangle that has the ratio 1:3:5 . Natalie made a mistake in her work. Find the mistake and correct it.
Alex has already saved $500 this summer. He wants to save at least $700. Create an inequality to show the amount of money, m. Alex still needs to save
Answer:
$200
Step-by-step explanation:
$700
-$500
$200
Therefore Alex needs to save $200 more to get the $700
The time it takes Adam to drive to Disney World varies inversely with his
average rate of speed.
If it takes Adam 10.8 hours at an average speed
of 50 miles per hour, how long would it take him at
an average speed of 60
miles per hour?
The distance will remain constant. Then the time taken by Adam with an average speed of 60 miles per hour is 9 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\\\[/tex]
The formula can be written as
Distance = Speed × Time
The time it takes Adam to drive to Disney World varies inversely with his average rate of speed.
If it takes Adam 10.8 hours at an average speed of 50 miles per hour.
If the average speed is 60 miles per hour, then the time taken will be
The distance will remain constant.
S₂ × T₂ = S₁ × T₁
60 × T₂ = 50 × 10.8
T₂ = 9 Hours
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30 POINTS!!!!! (answer with work please)
1) A cone with volume 1350 m³ is dilated by a scale factor of 1/3. What is the volume of the resulting cone?
2) The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.
Answer: The answer is 50 m³.
Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume 1350 m³.
The volume of a cone with base radius 'r' units and height 'h' units is given by
[tex]V=\frac{1}{3}\pi r^2h.[/tex]
Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write
[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]
⇒ [tex]\pi r^2h=4050.[/tex]
Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.
Therefore, the volume of the dilated cone will be
[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]
Thus, the volume of the resulting cone will be 50 m³.
Why does the shape of the moon appear to change over the course of about a month? (2 points)
Group of answer choices
The sun is always lighting up the same amount of the moon.
The sun is lighting up different amounts of the moon.
The moon changes shape over the course of a month.
The moon shrinks and grows bigger depending on the time of month.
PLEASE HELP ME IGIVE YA'LL 12 POINTS PLEASE HELP ME
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Answer:
Step-by-step explanation:
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Correlation analysis is used to determine
Answer:
Correlation analysis is used to quantify the degree to which two variables are related.
Step-by-step explanation:
In research, correlation analysis is a statistical approach for calculating and measuring the strength of a linear relationship between two variables. Simply defined, correlation analysis determines how much one variable changes as a result of the change in the other. A high correlation indicates a strong association between two variables, whereas a low correlation indicates a weak relationship.
how many different roots does the polynomial function have y = (x-2)(x+3)^2 have
Answer:
[tex]x=2,-3[/tex]
Step-by-step explanation:
Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].
[tex](x-2)(x-3)^22=0[/tex]
Solve for [tex]x[/tex].
If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].
[tex]x-2=0\\(x+3)^2=0[/tex]
Set the first factor equal to [tex]0[/tex] and solve.
Set the first factor equal to [tex]0[/tex].
[tex]x-2=0[/tex]
Add [tex]2[/tex] to both sides of the equation.
[tex]x=2[/tex]
Set the next factor equal to [tex]0[/tex] and solve.
Set the next factor equal to [tex]0[/tex].
[tex](x+3)^2=0[/tex]
Set the [tex]x+3[/tex] equal to [tex]0.[/tex]
[tex]x+3=0[/tex]
Subtract [tex]-3[/tex] from both sides of the equation.
[tex]x=-3[/tex]
The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.
[tex]x=2,-3[/tex]
how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
Answer:
3(x+4)=36
You would multiply 3 times x and 4
3x+12=36
Subtract 12 from both sides
3x=24
x=8
Step-by-step explanation:
[tex]\rule{289}{2}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
how to solve [tex]\textsc{3(x+4)=36}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
First of all, multiply the number before the parentheses by the expression inside the parentheses:-
[tex]\bigstar\sc{3\times x\times4}[/tex]
Which equals
[tex]\bigstar\textsc{3x+12}[/tex]
So the equation is:-
[tex]\square[/tex] [tex]\textsc{3x+12=36}[/tex] Subtract 12 on both sides:-
[tex]\textit{3x=24}[/tex] Next, divide by 3 on both sides:-
[tex]\textit{x=8}\Huge\checkmark[/tex]
Good luck with your studies.[tex]\smile\rule{300}{2}\smile[/tex]
Find the value of log1/1000
just do it with a calculator the answer is -3
Answer:
-3
Step-by-step explanation:
log (1/1000)
log ( 10^-3)
= -3
PLSS HELP ME WITH THIS!! 20 POINTSS The following graph shows a proportional relationship. What is the constant of proportionality between y and a in the graph?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The gradient of this graph is 2/3 so the equation of the line is
[tex]y= \frac{2}{3}x[/tex]
However, the question is asking for proportionality which has the equation:
[tex]y=kx[/tex]
So k in this instance is [tex]\frac{2}{3}[/tex].
In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?
Answer:
0.07%
Explanation:
I helped somebody else with the same question! haha
PLEASEE HELP ME WITH !!!!!
Answer:
C = 101
Step-by-step explanation:
A triangle has 180 degrees, so just minus 28 and 51 by that and you get 101... it's pretty simple
PLEASE SHOW ALL YOUR WORK!!!
If popsicles cost $1.92 per dozen, what would be the cost of 60 popsicles?
Group of answer choices
$10.10
$9.60
$9.75
Answer:
$9.60
Step-by-step explanation:
$1.92 = per dozen
60 = how many dozens?
12 = one dozen.
60/12 = 5
5 dozens in 60 popiscles
If we know that we have 5 dozens and it costs $1.92 per dozen, we can just multipty those two numbers.
1.92*5=9.60
So, the cost of 60 popsiciales is $9.60!
Please help me do this mathematics assignment
Answer:
dy = -3
dx
equation of normal=
y=1/3x+1
Step-by-step explanation:
dy/dx=10x-3
=10(0)-3
= -3
equation of normal:
grad=1/3
y-1 =1/3
x-0
3y-3=x
y= 1/3x+1
[tex]\underline{\textbf{First part:}} \\\\\text{Given that,}\\\\~~~~~~y= 5x^2-3x+6\\\\\\\implies \dfrac{dy}{dx} = \dfrac{dy}{dx} (5x^2 -3x +6)\\ \\\\~~~~~~~~~~~=5\dfrac{d}{dx} x^2-3\dfrac{d}{dx} x + \dfrac{d}{dx} (6)\\\\\\~~~~~~~~~~~=5\cdot 2x-3+0\\\\\\~~~~~~~~~~~=10x-3\\\\\text{At (0,1)}\\\\\dfrac{dy}{dx} = 10(0) -3 \\\\~~~~~=0-3\\\\~~~~~=-3[/tex]
[tex]\underline{\textbf{Second part:}}\\\\[/tex]
[tex]\text{Equation of normal,}\\\\~~~~~~y-y_1 = -\dfrac{1}{\tfrac{dy}{dx}} (x-x_1)\\\\\\\implies y - 1 = -\dfrac 1{-3 }(x-0)\\\\\\\implies y-1 = \dfrac 13 x\\\\\\\implies y= \dfrac 13 x +1[/tex]
If $1.35 is invested in an
account, find the amount of
money in the account after
10 years if it earns 1.15%
interest compounded semi-
annually.
Answer:
$1.51 is in the account after 10 years.
Step-by-step explanation:
Step 1: Identify the Type of Problem
We can see that this is a compound interest problem due to the phrase "earns 1.15% interested compounded" in the problem.
The formula for compound interest is as follows:
[tex]A=P(1+\frac{r}{n})^{n*t}[/tex] where:
A = final amount P = principal amount (in other words, the initial or first investment)r = interest rate (as a decimal)n = number of times interest is compounded per yeart = time (in years)Step 2: Identify what we Know
Now that we have the formula we'll be working with, let's see what we know. From the problem, we can see:
A = ? (this is what we are solving for)P = $1.35r = 1.15% → 0.0115n = 2 (semi-annually means twice a year)t = 10 yearsStep 3: "Plug and Chug"
Now, all we have to do is substitute the above values into our formula. Doing so, we get:
[tex]A=1.35*(1+\frac{0.0115}{2})^{2*10} \\= \bf \$1.51[/tex]
(Note: Since the answer is an amount of money, I have rounded to the hundreths place.)
Hope this helps!
To learn more about compound interest, check out the following question:
https://brainly.com/question/21270833help please i need help
Answer: it will be A And D
Step-by-step explanation:
solve the quadratic formula x^2+4x-3=0
Answer:
using quadratic equation formula
-b±/b²‐4ac all over 2a
Amna multiplies 38 by 4.
Should her answer be greater than or less than 4?
It should be greater not lesser
Solve the following expression for t select all that apply
A:9
B:42
C: 45
D: t+3=45
Answer:
Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Step-by-step explanation:
Step 1: Multiply both sides by 15
[tex]\frac{t + 3}{15} = 3[/tex]
[tex]\frac{t + 3}{15} * 15 = 3 * 15[/tex]
[tex]t+3=45[/tex]
Step 2: Subtract 3 from both sides
[tex]t + 3 -3 = 45 -3[/tex]
[tex]t = 42[/tex]
Answer: Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Here my Answer :)))))))
Find the total surface area of the triangular prism
shown below.
5 cm.
5 cm.
11 cm.
6 cm.
Answer:
Answer:
124.84
Step-by-step explanation:
A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )
≈ 124.84313
Step-by-step explanation:
How did the x value change if it went from 4 to 6?
Given the following set of numbers find the mean, median and mode. 6, 6, 8, 7, 10, 14, 13, 6, 5, 7, 8, 10, 13, 6, 7
Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
What is Central Tendency?A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.
Here, Given data
x f xf
5 1 5
6 4 24
7 3 21
8 2 16
10 2 20
13 2 26
14 1 14
Mean = ∑xf/∑f
= 126/15
= 8.4
Median = 7
Mode = 6
Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
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