Answer:
16
Step-by-step explanation:
20 + 16=36 36x2=72
Which function is the result of vertically shrinking ƒ(x) = 2(x + 3)2 by a factor of ½ and reflecting it across the x-axis?
Question 7 options:
A)
y = (x + 3)2
B)
y = –½(x + 3)2
C)
y = –(x + 3)2
D)
y = ½(x + 3)2
Answer:
C) y = -(x + 3)2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/2, we just need to multiply f(x) by 1/2 (This way the values in the y-axis will decrease by a factor of 1/2):
[tex]y = (1/2) * 2(x + 3)^2[/tex]
[tex]y = (x + 3)^2[/tex]
Now, to reflect the function across the x-axis, we just need to put a minus sign in the front of the function (so the values in the first and second quadrant will go to the third and fourth quadrant, that is, f(x) will be -f(x)):
[tex]y = -(x + 3)^2[/tex]
So the correct option is C)
PLEASE ANSWER ASAPPPPPP! What is the quotient of 6 and -1/2.
Answer:
-12
Step-by-step explanation:
6 ÷ -1/2
Copy dot flip
6 * -2/1
-12
HELP PLEASE!!! I need your guys help on this question.
Answer:
Area of a trapezium = 1/2(a+b)×h
where a and b are parallel sides of the trapezium
h is the height
First question
We must first find the height of the trapezium using Pythagoras theorem
That's
h² = 8² -3²
h =√ 64 - 9
h = √ 55m
a = 7m
b = 10+3 = 13m
Area of the trapezoid = 1/2(7+13)×√55
= 1/2×20×√55
= 74.16
= 74m² to the nearest tenth
Second question
We use sine to find the height
sin30° = h/12
h = 12 sin 30°
h = 6 in
Let the other half of the parallel side be x
To find the other half of the parallel side we use Pythagoras theorem
That's
x² = 12²- 6²
x = √144-36
x = √108
x = 6√3 in
So for this trapezoid
a = 9 in
b = (9 + 6√3) in
h = 6 in
Area of the trapezoid = 1/2(9 + 9+6√3) × 6
= 1/2(18+6√3)×6
= 85.176 in²
= 85 in² to the nearest tenth
Hope this helps you
Answer:
The first (left) trapezoid's area is [tex]10\sqrt{55}[/tex]m or ≈ 74.2m²
The second (right) trapezoid's area is [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
Step-by-step explanation:
First trapezoid (left):
Because the first trapezoid is a normal trapezoid, we can use the equation [tex]A = \frac{a+ b}{2} * h[/tex] Where a is equal to one base length and b is equal to the other base length and h is the height of the trapezoid.
a = 7
b = 13
h = [tex]\sqrt{55}[/tex] ([tex]3^{2}+h^{2} = 8^{2}[/tex])
Plug into the equation:
[tex]A = \frac{7+13}{2} *\sqrt{55}[/tex]
A = [tex]10\sqrt{55}[/tex] or ≈74.2m²
Second trapezoid (right):
Not a normal trapezoid (split into a triangle and a square)
Let's solve for the triangle first:
using [tex]sin(30) = \frac{x}{12}[/tex] to find the right-hand side of the triangle we get x = 6
because this is a 30 60 triangle, the last side has to be [tex]6\sqrt{3}[/tex]
Now we can calculate the area of the figure:
Triangle is [tex]\frac{1}{2} * 6 * 6\sqrt{3} = 18\sqrt{3}[/tex]
Rectangle is 6 * 9 = 54
Area = [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answer:
40 cm
Step-by-step explanation:
the 414cm2 is eso they
You invest $5000 into an account earning 4% interest compounded quarterly. Write an
equation to represent the amount of money you will have in your account after 8 years?
Answer:
A (in $USD) = 5,000(1 + .04/4)^4(8)
A = 5000(1 + 0.01)^32
A = 5000(1.01)^32
A = 5000(1.37494068)
A ≈ 6874.7034
A = $6875 or $6875.7 (depending on rounding requirement)
Step-by-step explanation:
Compound Interest Formula
A = P(1+ r/n)^n(t)
A is the amount in the account after t yearsP is the principal (original amount invested)r is the annual rate, expressed as a decimaln the number of times the interest is calculated a year*t is the number of years*If the interest is compounded monthly n = 12, if quarterly n = 4, if daily n = 365.
Which of the following is equivalent to
Answer: C
Step-by-step explanation:
This is the answer because you have to multiply (x-1) on both sides and that will cancel out the denominator on the right. Then, multiply by x on both sides and that will cancel the denominator on the left side. When you do this, C should be your answer. Hope this helps :)
Answer:
the third oneStep-by-step explanation:
[tex]\dfrac{5x+2}x=\dfrac{-12}{x-1}\\\\{}\quad\ \cdot x\qquad\ \cdot x\\\\5x+2\ =\ \dfrac{-12x}{x-1}\\\\\cdot (x-1)\quad \cdot (x-1)\\\\(5x+2)(x-1)=-12x[/tex]
b) Calculate the value of y when x=0.1
Answer:
this question is incorrect
Is this question incorrect ? Have u definitely put the correct question you have been asked ?
A)x 1/9
B)x 1/6
C)x^6
D) x^9
Please explain in simple terms how you would solve this please!!
Answer:
Answer should be x^9
Step-by-step explanation:
This equation looks really complicted, but it's actually much easier when you break it down! First, your going to multiply the fraction 3/2 by 6 - since one is a fraction, youre going to find the GCF, or Greatest Common Factor, and reduce it. The GCF in this equation is 2, so we eliminate the two from the fraction (making it just 3) and divide 6 by 2 (getting 3). Thus, we are left with (x^3)^3 -> 3 x 3 = 9. So we are left with x^9. I hope this helps!
Create your own factorable polynomial with a GCF. Rewrite that polynomial in two other equivalent
forms. Explain how each form was created. (10 points)
For example: 2x2 + 6x + 4 has a GCF of 2 since all values are divisible by 2.
So one form can be created by factoring out 2:
2 (2x2 + 3x + 2)
Then the second form can be created by factoring x2 + 3x + 2:
2 (x + 2) (x + 1).
Be sure to create your own example, do not look one up online.
Answer:
Step-by-step explanation:
2x^2+10x+12 greatest common factor is 2
2(x^2+5x+6)=
2(x+2)(x+3)
Find the equation of the line
Answer: y = -6x + 5
Step-by-step explanation:
equastion is y = dx + e
+) Because it perpendicular y = \dfrac{1}{6} x + 3
d \times \dfrac{1}{6} = -1
<=> d = -1 : \dfrac{1}{6}
<=> d = -6
=> y = -6x + e;
+) Because it contains the point (-3; 23)
=> 23 = -6 \times (-3) + e
<=> e = 5
=> y = -6x + 5
I WILL GIVE BRAINLIEST. Please help!
Given the equation A=250(1.1)^t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose the interest rate were to change to being compounded quarterly. Rewrite the equation to find the new interest rate that would keep A and P the same. What is the approximate new interest rate?
Convert your answer to a percentage, round it to the nearest tenth, and enter it in the space provided, like this: 42.53%
Answer: 2.5%
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 10/100= 0.1)
n= number of compounding periods in each year (365)
Replacing with the values given
A=250(1+0.1/1)^t/1
A=250(1.1)^t
For a interest compounded annually, n=1, compounded quarterly n= 4 (4quarters in a year )
Interest rate 0.1 /4 = 0.025= 2.5%
Answer:
9.6%
Step-by-step explanation:
yw
CAN SOMEONE PLEASE HELP I WILL GIVE MORE POINTS AND BRAINLIEST.
Answer:
The answer is A
Step-by-step explanation:
Process of elimination. None of the others make sense.
Answer:
x = 2 or x = -4
Step-by-step explanation:
Solve for x over the real numbers:
-x^2 - 2 x + 8 = 0
Multiply both sides by -1:
x^2 + 2 x - 8 = 0
Add 8 to both sides:
x^2 + 2 x = 8
Add 1 to both sides:
x^2 + 2 x + 1 = 9
Write the left hand side as a square:
(x + 1)^2 = 9
Take the square root of both sides:
x + 1 = 3 or x + 1 = -3
Subtract 1 from both sides:
x = 2 or x + 1 = -3
Subtract 1 from both sides:
Answer: x = 2 or x = -4
Does anyone know how to solve this question. Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answer:
D. 9
Step-by-step explanation:
From the question, we are given the following information:
The number of tennis balls represented by P(n), in n layers of the square pyramid is given as
P(n) = P(n - 1) + n²
In other to solve for n, we would be taking some values for n
Step 1
Let's take the first layer,
n is represented by 1
n = 1
P(1) = P(1 - 1) + 1²
P(1) = 1 tennis ball.
Step 2
Let's take the second layer
n is represented by 2
P(2) = P(2 - 1) + 2²
P(2) = P(1) + 2²
Note that: P(1) above = 1
P(2) = 1 + 2²
P(2) = 5 tennis balls
Step 3
Let's take the third layer
n is represented by 3
P(3) = P(3 - 1) + 3²
P(3) = P(3 - 1) + 3²
P(3) = P(2) + 3²
Note that: P(2) above = 5
P(3) = 5 + 3²
P(3) = 14 tennis balls
Step 4
Let's take the fourth layer
n is represented by 4
P(4) = P(4 - 1) + 4²
P(3) = P(4 - 1) + 4²
P(3) = P(3) + 4²
Note that: P(3) above = 14
P(3) = 14 + 4²
P(3) = 30 tennis balls
We can continue this process, on and on
From the above solution for the number of the tennis balls in first four layers will be: 1, 5, 14, 30,
Hence, the number of tennis balls that Coach Kunal could not have is 9.
Which statement best describes Cheryl's commute? A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph. B. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes. C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph. D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
Answer:
C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
Step-by-step explanation:
Assume the graph of Cheryl's commute was like the one below.
We see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5,5 min later) her speed was still 65 mph, so she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, so she was decelerating.
Answer:
D
Step-by-step explanation:
on Edmentum
What is the volume of a cylinder with a height of 17 cm and a base radius of 7 cm to the nearest 10th
Answer:
Step-by-step explanation:
volume =πr²h=π×7²×17≈2616.9 cm³
The volume of a cylinder is 2616.95 cubic centimeters.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
The height of the cylinder h = 17 cm
Base radius of the cylinder r = 7 cm
We know the volume of a cylinder is given by:
[tex]\rm V = \pi r^2h[/tex]
[tex]\rm V = \pi\times 7^2\times17[/tex]
V = 833π cubic centimeters
V = 833×3.141592
V = 2616.94668 cubic centimeters or
V = 2616.95 cubic centimeters.
Thus, the volume of a cylinder is 2616.95 cubic centimeters.
Learn more about the volume here:
https://brainly.com/question/16788902
Replace ? with =, >, or < to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2
Answer:
>
Step-by-step explanation:
On the left side, we divide first: 12/4=3
On the left side, we get 3+13, which equals 16.
On the right side, we also divide first: 22/2=11
On the right side, we get 11+2, which equals 13.
We know that 16 is larger than 13, so
12 ÷ 4 + 13 > 2 + 22 ÷ 2
Hope this helps!
Answer:
>
Step-by-step explanation:
air flows through a duct at 2400 cubic feet per minute after several feet in a few vent the air flow decreases to 1680 cubic feet what is the percent drop that has occurred
Answer:
I think the answer is 7.2%
Step-by-step explanation:
2400-1680=720
720/100=7.2
7.2 is the answer
Hope this helps!
Given OT with PQ = SR. What is the length of SR?
Answer:
42, because PQ is split in half and one side is 21, the 2 little lines going thru it show that both sides are equal meaning PQ is 42 bc of 21+21 therefore so is SR
Step-by-step explanation:
This graph shows how much Marie earns babysitting, compared with the number of hours she works. Select the correct statement about the graph. A. for each hour she works , her earnings go up by $10 B. for each dollar she earns, the number of hours she works goes up by 10. C. for each hour she works, her earnings go up by $5 D. for every 5 hours she works, her earnings go up by $1
Step-by-step explanation:
for each hour she works , her earnings go up by $10
The first one is the correct answer, because the slope of the line is
$(60-0)/(6.0 hours)
= 60/6 $/hour
=10 $/hour.
Answer:$10 .per hour
Step-by-step explanation:
Given that (-1,7) is on the graph of f(x), find the corresponding point for the function f(x+3)
Answer:
(-4,7)
Step-by-step explanation:
Given
A point on f(x) = (-1,7)
Required
Find the coordinates of f(x+3)
The given parameter can be rewritten as
[tex]f(-1) = 7[/tex]
We're to solve for [tex]f(x+3)[/tex]
By comparing [tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];
The expressions in the bracket implies that
[tex]-1 = x + 3[/tex]
Subtract 3 from both sides
[tex]-1 - 3 = x + 3 - 3[/tex]
[tex]-1 - 3 = x[/tex]
[tex]-4 = x[/tex]
[tex]x = -4[/tex]
Stil comparing
[tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];
If f(-1) = f(x + 3) then
[tex]f(x +3)= 7[/tex]
Hence, the coordinates of f(x+3) is (-4,7)
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5. Pls help ASAP btw, the answer isn’t -12/19 or 12/19
Answer:
[tex]B - A = -6[/tex]
Step-by-step explanation:
Given
Point: (-7,2)
x + 3y = -5
Required
Find B- - A in Ax + By = 3
To start with; we need to calculate the slope of x + 3y = -5
[tex]x + 3y = -5[/tex]
Subtract x from both sides
[tex]x - x + 3y = -5 - x[/tex]
[tex]3y = -5 - x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}[/tex]
[tex]y = -\frac{5}{3} - \frac{x}{3}[/tex]
The slope of the line is the coefficient of x
Slope = [tex]- \frac{1}{3}[/tex]
The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of [tex]- \frac{1}{3}[/tex]
Having calculated the slope, next is to calculate the equation of the line using the following formula;
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where m is the slope; m = [tex]- \frac{1}{3}[/tex]; [tex](x_1, y_1) = (-7,2)[/tex]
Substitute these values in the formula above; the formula becomes
[tex]-\frac{1}{3} = \frac{y - 2}{x - -7}[/tex]
[tex]-\frac{1}{3} = \frac{y - 2}{x +7}[/tex]
Cross Multiply
[tex]-1(x+7) = 3(y-2)[/tex]
Open brackets
[tex]-x - 7 = 3y - 6[/tex]
Add x to both sides
[tex]x - x - 7 = 3y - 6 + x[/tex]
[tex]-7 = 3y - 6 +x[/tex]
Add 6 to both sides
[tex]-7 + 6 = 3y -6 + 6 + x[/tex]
[tex]-1 = 3y + x[/tex]
Multipby both sides by -3
[tex]-3(-1) = -3(3y + x)[/tex]
[tex]3 = -9y - 3x[/tex]
[tex]-9y - 3x = 3[/tex]
[tex]-3x - 9y = 3[/tex]
Comparing the above to Ax + By = 3
[tex]Ax = -3x\\A = -3[/tex]
[tex]By = -9y\\B = -9[/tex]
[tex]B - A = -9 - (-3)[/tex]
[tex]B - A = -9 + 3[/tex]
[tex]B - A = -6[/tex]
Find the area of the figure.
A rectangle topped by a triangle. The rectangle has length 6 yards and width 4 yards. The triangle has side lengths 3 yards and 4 yards.
a.
48 sq. yd
b.
60 sq. yd
c.
30 sq. yd
d.
42 sq. yd
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Step-by-step explanation:
how many eights are in 4 3/8
Place the indicated product in the proper location on the grid. (y x - 5)(y x + 5)
Answer:
y²x² - 25Step-by-step explanation:
To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;
= (y x - 5)(y x + 5)
= (yx)² + 5yx-5yx- 5(5)
= (yx)² + 5yx-5yx- 25
=(yx)² +0- 5(5)
= y²x² - 25
The product is expressed as y²x² - 25
Answer:
The person above me is *almost* right. but the x's are exponents.
Step-by-step explanation:
The right answer is y^2x-25. I hope this helps you! <3
I need helpppppppppppp
Answer:
7.5 cm
Step-by-step explanation:
it is a right triangle, b=10, hypotenuse c=12.5
a^2+b^=c^2 the Pythagorean theorm
a^=c^2-b^2
a^2= 12.5^2-10^2
= 56.25
a=√56.25=7.5 cm
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem. Write the inequality and show all work to solve the inequality. Graph the solution to your inequality on a number line. Explain what your solution means in the context of the problem.
Answer:
5x +3y>-15
5(0)+3(0)
0+0= 0 > -15
Step by step explanation
We have to create a scenario that leads to an inequality of the form ax + b > c.
Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.
The required inequality is
Subtract 20 from both sides.
Divide both sides by 10.
It means the number of rides must be greater than 8.
Which diagram is NOT a good model of 2 ÷ 18? Math item response image Math item response image Math item response image (I don't know how to paste the images.) PLEASE ANSWER ASAP!! Thanks!!
Answer:
when you wrote question there will be pin sign then you will attach any image easily
Step-by-step explanation:
Answer:
Its the triangle one
Step-by-step explanation:
Just count them and you will see there are only 7 not 8 :)
(0, 4), (-5, 8), (4, -2), what is the range?
Answer:
range={ -2,4,8}Explanation:
Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
In the diagram above, which two red lines are parallel?
A.
GK | KG
B.
C.
D.
FL | GK
Answer: D. FL | GK
Step-by-step explanation:
Assuming that it's a cube made of up line segments, you know that line FL and line GK are parallel because they will never intersect or meet.
Scott earns $16.85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471.80 b. $943.60 c. $1,415.40 d. $1,887.20
Answer:
D
Step-by-step explanation: