Answer:
[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = 2x^2 + 3x - 8[/tex]
And we want to find:
[tex]\displaystyle f(b + 2)[/tex]
Substitute:
[tex]\displaystyle f(b+2) = 2(b+2)^2 + 3(b+2) - 8[/tex]
Expand and simplify:
[tex]\displaystyle \begin{aligned}f(b+2)&= 2(b^2+4b+4)+(3b+6)-8 \\ &= (2b^2+8b+8)+(3b+6)-8 \\ &= (2b^2) + (8b+3b)+ (8+6-8) \\ &= 2b^2 + 11b + 6 \end{aligned}[/tex]
In conclusion:
[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]
Which Property is used below? 7 + (a + b) = (7 + a) + b ?
Answer:
Associative property- the way in which factors are grouped in a multiplication problem does not change the product.
hope it will help
Find the slope of the line that passes through the points (0,-11) and (8,-8).
To find the slope of a line, we can use the following formula:
[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.
Let these be the following:
[tex] \displaystyle \large{(x_1,y_1) = (0, - 11)} \\ \displaystyle \large{(x_2,y_2) = (8, - 8)}[/tex]
Substitute the points in formula:
[tex] \displaystyle \large{m = \frac{ - 8 -( - 11)}{ 8 - 0} }[/tex]
Negative multiply negative always come out as positive.
[tex] \displaystyle \large{m = \frac{ - 8 + 11}{ 8 - 0} } \\ \displaystyle \large{m = \frac{ 3}{ 8 } } \\ [/tex]
Since m stands for slope, we can say that:
[tex] \displaystyle \large \boxed{ \tt{slope = \frac{3}{8} }}[/tex]
Answer:
Step-by-step explanation:
(x₁ ,y₁) = (0,-11) & (x₂ , y₂) = (8,-8)
Slope = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\dfrac{-8-[-11]}{8-0}\\\\=\dfrac{-8+11}{8}\\\\=\dfrac{3}{8}[/tex]
7b + 2 = 23
Help pls
Answer:
3
Step-by-step explanation:
7b + 2 = 23
Subtract 2 from both sides,
=> 7b = 21
=> b = 21/7
=> b = 3
describe the defferences between hexagonal prism and an octagonal prism
20+23-56/90+789/90(333)09/77
Multiply 4√2 x 6 √18
Answer:144
Step-by-step explanation:
find the missing side, round to the nearest tenth. PLEASE EXPLAIN WORK ILL GIVE BRAINLIEST!!!
select the correct answer
Answer:
B
Step-by-step explanation:
This is a linear function that continues both ways infinitely.
Answer:
B
Step-by-step explanation:
The domain of the function is all real numbers.
What is cos 30°?
604
2.
90'
309
13
O A. /
O B. 1 / 2
O c.
O D. V
O E F
O F. 1
SUB
Answer:
the value of cos 30degree is √3\2 ....
The length of a sandbox is three feet longer than its width. Write the expression that would represent the perimeter of the sandbox.
Answer:
4w + 6
Step-by-step explanation:
Let width = w
Length = w + 3
Perimeter = 2*length + 2* width
= 2(w +3) + 2w {Use distributive property}
= 2w + 2*3 + 2w
= 2w + 6 + 2w {Combine like terms}
= 4w + 6
7. Choose the correct answer. If there is direct variation and y= 27 when t= 4, find y when = 12.
a. 9
b. 0.56
c. 81
d. 1.78
Answer:
c
Step-by-step explanation:
Given direct variation between y and t , then the equation relating them is
y = kt ← k is the constant of variation
To find k use the condition y = 27 when t = 4 , then
27 = 4k ( divide both sides by 4 )
6.75 = k
y = 6.75t ← equation of variation
When t = 12 , then
y = 6.75 × 12 = 81
A rectangular block has square base of area 64 cm². If the thickness of the block is 5 cm, find its total surface area.
Answer:
total surface area of cube is 6 * area of one side
therefore area of one side is given 64cm^2
thickness is also given 5cm .
TSA is 64*5 = 320cm^2
hope it is helpful
Answer:
288 cm²
Step-by-step explanation:
The square base has an area of 64 cm².
That means the sides of the square base measure 8 cm.
The perimeter of the base is P = 4 * 8 cm = 32 cm.
The lateral area is Ph = 32 cm * 5 cm = 160 cm².
The two bases are congruent, and their combined area is 2 * 64 cm² = 128 cm².
The total surface area equals the sum of the lateral area and the area of the bases.
SA = 160 cm² + 128 cm²
SA = 288 cm²
help please. thank you!
Answer:
d!!!!
Step-by-step explanation:
please explain if you can
Answer:
Hello again! The answer to this one is C
Step-by-step explanation:
As I said before, a fraction is out of 100, like a percent. Divide 100 by the denominator (in this case, 4). This gives you 75%. However, to convert this into a decimal, we need to multiply it by 0.01. This gives you 0.75.
Answer:
.75
Step-by-step explanation:
there are more that one way to represent numbers..
Roman numerals are quite obsolete, but fractions, decimals and percent's
are the ones that you mainly learn about in a math class...
numbers of one type can be converted to any other...
in this case you want to convert a FRACTION 3/4 to change to a DECIMAL version.... NOTE: at the end I will also show the PERCENT VERSION...
the fraction to decimal conversion is done by "LONG DIVISION"
__.75__
4 | 3.0
2.8
-----
20
20
---
0
Note as a percent it is 75%
250 ÷ [5(3 • 7 + 4)]
Answer:
2
Step-by-step explanation:
(4x-3)^2-(2x+5)^2=0 tìm x
Hi
Your question would be better with " Could you help me please ? " at the end. Quite sure your mum told you that some time in the past.
I will show you how to solve but you will do the calculus. Math is all about rules, methods and training. If you dont practice, you will never progress.
rule : you must know by heart your remarkable identities.
Here we have : ( 4x-3)² - (2x+5)² = 0
It 's of the form A² -B² = ( A+B) ( A-B)
here A is : 4x-3 and B is 2x+5
Now let's apply rule : ( 4x-3)² - (2x+5)² = ( (4x-3) +( 2x+5) ) ( (4x-3) - (2x+5)
= ( 4x-3 +2x+5 ) ( 4x-3 -2x-5 )
= ( 6x +2) ( 2x-8)
so : ( 4x-3)² - (2x+5)² = ( 6x +2) ( 2x-8)
so ( 4x-3)² - (2x+5)² = 0 means : ( 6x +2) ( 2x-8) = 0
Rule A*B = 0 if A = 0 or B = 0
A is 6x+2 and B = 2x-8
So I let you now work :
You have to solve : 6x+2 = 0
and 2x-8 = 0
Solutions of this two calculus will be the solutions of ( 4x-3)² - (2x+5)² = 0
Have fun !
Divide 6x²y-12x⁴y+ 15x³y²-3x²y² by 3x²y
Answer:
[tex] \frac{6 {x}^{2}y - 12 {x}^{4} y + 15 {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} }{3 {x}^{2}y } \\ \frac{2 \times 3 {x}^{2}y - 6 {x}^{2} 3 {x}^{2} y + 5xy3 {x}^{2} y - y3 {x}^{2} y}{3 {x}^{2}y } \\ cancel3 {x}^{2} y \: from \: all \: term \\ = \frac{2 - 6 {x}^{2} + 5x y - y }{1} \\ = 2 - 6 {x}^{2} + 5xy - y \\ thank \: you[/tex]
A sphere has radius r unit. Find the following. (a) Circumference of great circle
Answer:
2πr
Step-by-step explanation:
the Circumference of great circle =
2×π×r or 2πr
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.
Next, we want to figure out how much g(x) is a compression/stretch of x.
In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.
A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have
kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B
In the x direction, at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.
f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have
f(kx) = f(3x) = (3x)² = 9x² = B
Which figure shows an example of symmetry?
A.
B.
C.
D.
Solve. x-6=-18
A x=-24
B x=-12
C x= 12
D x= 6
x - 6 = -18
x = -18 + 6
x = -12 ← the end
Answer: B)
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
[tex] \sf \: x - 6 = - 18 [/tex]
Add 6 to both sides.
[tex] \sf \: x=-18+6 [/tex]
Add -18 and 6 to get -12.
[tex] \boxed{\underline{ \bf \: x=-12 }}[/tex]
=> The correct answer will be Option B - x = - 12
_______
Hope it helps.
╰☆☆RainbowSalt2222☆☆╮
The piecewise defined function f(x) is graphed below. What is the value of f(2)?
f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined
Answer:
f(2) = -1
Step-by-step explanation:
Looking at the graph, there appears to be two points at x = 2. However, looking more closely, we see that the point (2, 4) is empty; this means the graph goes up to this point but does not hit this point.
The point (2, -1) is filled in; this means the graph hits this point.
Step-by-step explanation:
The value of f(2) on the graph of the piecewise function is -1
How to determine the value of f(2)?From the graph of the piecewise function, we have the following highlights
When x = 2, the function has corresponding values at y = 4 and y = -1
However, the graph has an open circle at y = 4 and a closed circle at y = -1
Closed circles show inclusiveness
This means that the actual value of f(2) on the graph is -1
Hence, the value of f(2) on the graph of the piecewise function is -1
Read more about piecewise functions at:
https://brainly.com/question/24389153
x+6 căn x +9
x căn x +8
x - căn x -8
Answer:
no
Step-by-step explanation:
(-786)+(-923)=(-923)+(-786)
verify
Answer:
[tex] - 786 + - 923 = - 923 + - 786 \\ - 786 - 923 = - 923 - 786 \\ - 1709 = - 1709 \\ thank \: you[/tex]
Find the difference between temperatures of 17 degrees celcius above zero and 12 degrees celcius below zero
Answer:
29° C
Step-by-step explanation:
-17(-12)
=29
Hope this helps
Answer:
29C
Step-by-step explanation:
Above zero temperature = +17C
Below zero temperature = -12C
Difference= 17 - (-12C)
= 17 + 12 C
=29C
I NEED SLEEEPPPP!! help me out please ;U;
solve for x ( please so work so I can figure out how to solve)
Answer:
Step-by-step explanation:
Set up equation
[tex]\frac{5x}{3} +\frac{3x-2}{6} =2-3x[/tex]
Make 5x/3 and 2-3x have a denominator of 6. To do this, we multiply everything in 5x/3 by 2 and multiply everything in 2-3x by 6.
[tex]\frac{10x}{6} +\frac{3x-2}{6} =\frac{12-18x}{6}[/tex]
Add the Left fractions numerators and set them equal to the Left side.
13x-2=12-18x
13x=14-18x
31x=14
x=14/31
Can someone help me please?
Answer:
Associative property.
Step-by-step explanation:
[tex]assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you[/tex]
what would -[16] absolute value be? (P.S. is not [] i just cant do the straight line on computer) sorry
solve for w 3w + 6w - 19 = -91
please
Hi ;-)
[tex]3w+6w-19=-91\\\\3w+6w=-91+19\\\\9w=-72 \ \ /:9\\\\\huge\boxed{x=-8}[/tex]
Answer:
w = -8Step-by-step explanation:
Given:
3w + 6w - 19 = -91Isolate w, add 19 to both sides:
3w + 6w = -91 + 19Simplify both sides:
9w = -72Divide both sides by 9:
w = -72/9w = -8300 divided by 6 times to the 2nd power divided by 3.14, i need help.
Answer:
Step-by-step explanation:
300÷6x²÷3.14=2.6539278131634819533
Please no links because they dont work :).
Answer:
semoga jawapan ini dapat membantu