Answer:
f(h + 2) = 2h² +8h - 19
Step-by-step explanation:
f(x) = 2x² - 27
f(h + 2) = 2(h + 2)² - 27
f(h + 2) = 2(h²+4h+4) - 27
f(h + 2) = 2h² + 8h + 8 - 27
f(h + 2) = 2h² +8h - 19
I hope this helps!
Simplify the radical expression
Answer:
Correct
Step-by-step explanation:
You're correct
[tex] \sqrt{ \frac{80w {}^{3} }{9} } = \frac{ \sqrt{80w {}^{3} } }{ \sqrt{9} } [/tex]
[tex] \frac{ \sqrt{16 \times 5 \times {w}^{2} \times w} }{3} [/tex]
[tex] \frac{4w \sqrt{5w} }{3} [/tex]
How do you prove a quadrilateral is a Rhombus?
Answer:
There are two ways to do this depending on the information you know.
Step-by-step explanation:
In order for a quadrilateral to be a rhombus, the sides have to be of equal length, so proving that all four sides are the same length would be one way. A second way is to prove that diagonals connecting opposite corners are perpendicular bisectors (connect in such a way that they cut each other into equal pieces at right angles).
The following shape has 0 pairs of parallel sides. What is the area of the shape?
Answer:
67.5 square units
Step-by-step explanation:
Formulae
[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]
(where b is the base and h is the height)
[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]
(where a and b are the bases, and h is the height)
Solution
We can divide this shape into a triangle and a trapezoid.
[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]
[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]
Therefore:
Area of shape = 35 + 32.5 = 67.5 square units
Area of trapezoid
1/2(10+3)(5)1/2(13)(5)65/232.5units²Area of traingle'-
1/2(10)(7)5(7)35units²Total area:-
35+32.567.5units²A 10 gallon tank of gas cost 22$. Find the unit price per gallon
Answer:
what...
Step-by-step explanation:
Answer:
2.2$
Step-by-step explanation:
22 divided by 10
Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.
Answer:
y=5x+3
Step-by-step explanation:
Hi there!
We are given that a line has a slope of 5, and a y intercept of (0,3)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
Since we were given the slope and the y intercept, we can simply substitute these values into the formula to find the equation.
Starting with the slope:
Substitute 5 as m into the equation
y=5x+b
Now for the y intercept:
As stated before, b is the value of y at the y intercept; in this case, b is equal to 3
Substitute 3 as b into the equation.
y=5x+3
Hope this helps!
See more on this topic here: https://brainly.com/question/22607472
can someone help me with this
Answer:
32
Step-by-step explanation:
first subtract 8 from his age and then multiply it by four.
Please help will mark brainiest
PLS I NEED HELP i have been stuck on this one for a while
Answer:
26.0
Step-by-step explanation:
We can apply the Pythagorean theorem to this problem. First, we need to square both legs. 7^2 = 49, and 25^2 = 625. If we add them, they equal 674. We then just take the square root of 674 which is 26.96. When rounded, that is 26.0
John is replacing two strings of his guitar and he has two pieces of information about them.
One string is 3 inches longer than the other string.
The product of the strings' length is 108 inches.
Write the equation to find the length of the shorter string, x?
Answer:
x(x +3) = 108
Step-by-step explanation:
The longer string is 3 inches longer than the shorter string, whose length is x. Then the longer string is (x+3), and the product of their lengths is ...
x(x +3) = 108 . . . . . equation for finding the shorter length
__
In standard form, the equation is ...
x² +3x -108 = 0
(x -9)(x +12) = 0 . . . . . factored form
The values of x that make these factors zero are 9 and -12. The shorter string length is 9 inches.
_____
Additional comments
John's guitar is unusually small if its strings are 12 inches or less.
Note that factoring is accomplished by finding factors of 108 that differ by 3. This requires the same thinking process as solving the problem directly without the use of an equation. We know the product of two numbers is 108 and one is 3 larger than the other.
The difference (3) is sufficiently smaller than the product that the square root of the product (10.4) will be about halfway between the numbers. We can reasonably guess their values to be 10.5±3/2 = {9, 12}. (There is a more formal way to make this calculation by defining a variable (a) to be the average of the two lengths: Then you have (a-3/2)(a+3/2)=108, or a² = 110.25 and a=10.5. This matches our approximation.)
8x - 8 = 7x simplified down
Step-by-step explanation:
Hope my answer helps mark me brainliestAnswer:
x = 8
Step-by-step explanation:
Step 1: Subtract 7x from both sides.
8x−8−7x=7x−7x
x−8=0
Step 2: Add 8 to both sides.
x−8+8=0+8
x=8
HGD
-ghost
PLEASE HELP, please write it out in the system of equations (step by step)
2x + y = - 1 ; x - 2y = - 8
Answer:
[tex]{x,y}={-2,3}[/tex]
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Answer:
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Find the measure of angle x in the figure below:
A:35°
B:47°
C:73°
D:78°
Step-by-step explanation:
[tex]56 + 51 + y = 180 \\ y = 180 - 107 \\ y = 73[/tex]
[tex]y + x + 72 = 180 \\ 73 + 72 + x = 180 \\ x = 180 - 145 \\ x = 35[/tex]
Hope it helps
A straight angle is an angle equal to 180 degrees
Solve for y
y + 51° + 56° = 180°
y = 180° - 56° - 51°
y = 73°
Total interior angle of a triangle sum ups to 180°
Solve for x
y + x + 72° = 180°
73° + x+ 72° = 180°
x = 180° - 72° - 73°
x = 35°
F(x) = 6x^2 -7x + 4 g(x) =2x -5 find: (f-g)(x)
Answer:
Use the given functions to set up and simplify (f − g) (x).
−7x+4= −7x + 4
(f − g) (x)=f − 2 x+ 5
Step-by-step explanation:
Please help me thank you!
Answer:
a(1) = 11a(n) = 4 + a(n-1)Step-by-step explanation:
The first term shown is 11. The terms have a common difference of 15 -11 = 4.
These values let you write the recursive formula:
[tex]a_1=11\\a_n=4+a_{n-1}[/tex]
__
The common difference is added to the previous term to find the current term.
find the derivative !!
Answer:
1/2x^(-1/2) + cos(2x)
Step-by-step explanation:
I'm in AP Calc BC at the end of the year :)
What is the constant of variation?
Answer:
constant (unchanged) ratio of two variable quantities.
Step-by-step explanation:
Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .
Please help me i need 7 more answers after this one!
Answer:
OPTION I
Step-by-step explanation:
168 yd² is the answer
option i
What’s the function??? Pls help will give brainlest
all you have to do is plug in the number....
1st sc: y=-30
2nd: x=-1
3rd: x=5
4th: y = 29
Answer:
1. y = -30
2. x = -1
3. x = 5
4. y = 29
Step-by-step explanation:
1. y = -10x
f(x) = 3
y = -10*3
y = -30
2. y = -2x + 1
f(y) = 3
3 = -2x + 1
-2x = 3 - 1
-2x = 2
x = 2\-2
x = -1
3. y = 6x
f(y) = 30
30 = 6x
x = 30\6
x = 5
4. y = 5x + 9
f(x) = 4
y = 5*4 + 9
y = 20 + 9
y = 29
y=x^2+16x+71 in vertex form
Answer:
y=(x+8)^2+7
Step-by-step explanation:
Two of the angles of a triangle measure 27º and 63º. Is the triangle a right triangle? Yes No Not enough information I don't know.
Answer:
Yes
Step-by-step explanation:
A right triangle has to have one 90 degree angle and all triangle angles must add up to 180 degrees.
27+63= 90
180-90= 90
So to answer your question, the triangle is a right triangle.
Three numbers have a mean of 7.
The numbers are 15, 2, and what?
Answer:
The mean is 4
Step-by-step explanation:
15+2+4 = 21 which you can divide by 3 = 7
Sarah is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 17 feet and a base of 20 feet.
How much glass is needed?
A.
680 sq ft
B.
340 sq ft
C.
2,040 sq ft
D.
1,360 sq ft
Answer:
981.496 ft^3
Step-by-step explanation:
Volume of triangular pyramid is
1/3 base area * height
area of a equilateral triangle base is
sqrt (3)/4 s^2 where s = side length
so the volume is
1/3 ( sqrt(3) / 4 ) (20^2) * 17 ft^3
= 981.496 ft^3
Answer:
Area of a triangle is 1/2 x base x height.
area of triangle = 1/2 x 20 x 17 = 170 square feet.
the image shows 4 triangles, total area = 170 x 4 = 680 square feet.
the answer is A. 680 sq. ft.
Hope this helps you!!
Please Mark me as Brainleast!!!!!!!!!!!!!
A safety auditor at a paint factory took a random sample of 25 cans of paint from a production run of over
1,000 cans and measured the amount of lead in each can of paint in the sample. The sample data were roughly
symmetric with a mean of 37 parts per million (ppm) of lead per can and a standard deviation of 18 ppm.
SPA
CRI
As
Based on this sample, which of the following is a 95% confidence interval for the mean amount of lead per can
of paint (in ppm) in this production run?
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval is (29.6, 44.4).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.
The other parameters are given by:
[tex]\overline{x} = 37, s = 18, n = 25[/tex].
Hence, the bounds of the interval are given as follows:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37 - 2.0639\frac{18}{5} = 29.6[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37 + 2.0639\frac{18}{5} = 44.4[/tex]
The 95% confidence interval is (29.6, 44.4).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Answer:
To simplify what the other person said:
(29.57, 44.43)
Step-by-step explanation:
Proof that this is right on Khan
does 8x+5=8x have a solution when simplified
Step-by-step explanation:
In my opinion, none. ........
64X + 5=8x
8x+5=8x solution when simplified
4. Snyder’s Moving company has two segments of customer: Small Business (SB) and Residential. 10% of Snyder’s 2,200 clients fall into both categories, using Snyder’s as their mover of choice for both their business and personal needs. The remaining clients are split evenly between segments. A client who falls into one category will use Snyder’s once every 3 years. Clients who fall into both categories use Snyder’s twice every 3 years. SB moves cost 15% more to the clients than Residential moves due to additional insurance costs for Snyder’s. The average profit Snyder’s makes per move, regardless of which type, is $260. Snyder recently launched a marketing campaign to all SB-only clients to encourage them to use Snyder’s for residential moves. 10% of recipients decided to do so. Assuming the campaign cost $500 to execute, how profitable was it?
$12,480
$25,240
$50,480
$56,240
If the campaign of Snyder’s Moving company costs $500 to execute, it has been computed that the profit will be C. $50,480.
How to calculate the profit?Firstly, the customer base will be:
= 50% × [2200 - (10% × 2200)]
= 50% × (2200 - 220)
= 990
The increase in customers will be:
= 10% × 990
= 99
The additional profit will be:
= [(99 × $260) - $500] × 2
= ($25740 - $500) × 2
= $50480
Learn more about profit on:
https://brainly.com/question/19104371
Answer:
10% SB clients will move due to the promotion. The Profit will be $25,240
Step-by-step explanation:
Find the number of clients in both SB and personal:
10% x 2200 = 220
Find the number of SB clients:
(2200 - 220)/2 = 990 ( the rest of clients will be evenly splitted)
Find the number of SB clients who will move:
10% x 990 = 99
Find the profit due to the move: (Number of ppl moved x Average Profit - Initial Investment)
99 x $260 - $500 = $25,240
will give brainliest!!! easy question.
What is one thing society could do (beyond education in schools) to increase acceptance of robotics, especially androids and cyborgs?
android: A mobile robot usually with a human form.
cyborgs: A living being whose powers are enhanced by computer implants or mechanical body parts.
This teaches them the skill that is required for creating precise and accurate instructions and also has fun while learning these valuable lessons. Teaching robotics in schools facilitates students to learn how science, engineering, math, and technology work in integration. Enhances Creativity.
________________________________
Through play, educational robots help children develop one of the basic cognitive skills of mathematical thinking at an early age: computational thinking. That is, they help develop the mental process we use to solve problems of various kinds through an orderly sequence of actions.
====================================
[tex]\color{red}{\tt{Hope \ It \ Helps}} [/tex]
In geometry you can use deductive rules to____?
Answer: prove conjectures
Step-by-step explanation:
In geometry, you can use deductive rules to prove conjectures.
What is the answer for 21÷1/3?
Answer:
63
Step-by-step explanation:
21*3=63
hope this helps..
Answer:
63
Step-by-step explanation:
You first convert 1/3 to 3, and division to multiplication. The equation is now 21 x 3, which is equal to 63.
this is algebra 2 can someone give the answers please and thank you
Answer:
See below ↓↓↓↓
Step-by-step explanation:
1.
√(4 + 2)² + (7 - 4)²√6² + 3²√453√52.
√(3 - 3)² + (-1 - 4)²√2553.
√(3 + 7)² + (-5 - 20)²√100 + 625√7255√294.
√(5 - 1)² + (-2 + 2)²√366Can you guys help with number 12 and 13. I will give brainliest . Please show work or type how to write it.
Answer:
B
Step-by-step explanation:
A=2(wl+hl+hw)=2·(10·10+5.6·10+5.6·10)=424-100= 324
A=lw+l(w2)2+h2+w(l2)2+h2=10·10+10·(102)2+9.72+10·(102)2+9.72≈320
Pyramid: 320m2 - 100m2 = 220 m2
Hope this helps :)