Answer:
x²+8x+16
Step-by-step explanation:
f(x) = (x+4)²
= (x+4)(x+4)
= x² + 4x + 4x + 16
= x² + 8x + 16
h(x) = **+ 3x
x2 + 3x
4x + 27
Find h(-8)
Answer:
[tex]h( - 8) = \frac{( - 8)^{2} + 3( - 8) }{4( -8 ) + 27} \\ \\ = \frac{64 - 24}{ - 32 + 27} \\ \\ = \frac{40}{ - 5} \\ \\ h( - 8) = - 8[/tex]
I hope I helped you^_^
A student council group is preparing flower arrangements for a nursing home. There are 162 roses, 108 dahlias, and 180
tulips to be used in the arrangements. The arrangements are identical and there are no leftover flowers.
How many roses, tulips, and dahlias are in each arrangement?
Answer:
Step-by-step explanation:
since GCF(162,108,180)=18
and you have not mentionned it was the maximum of arrangements you want:
[tex]\begin{array}{c|c|c|c}\#arrangement&\#Roses&\#Dahlias&\#Tulips\\-------&-------&-------&-------\\1&162&108&180\\2&81&54&90\\3&54&36&60\\6&27&18&30\\9&18&12&30\\18&9&6&10\\-------&-------&-------&-------\\\end {array}[/tex]
Help me please I will give 20 points if you answer correctly!
Answer:
Step-by-step explanation:
Base = 8 * 8 = 64 square units
4 (8*6)/2 = 96 square units
64 + 96 = 160 square units
PLEASE PLEASE PLEASE HELP TRANSLATING SENTENCES INTO EQUATIONS
Answer:
5×(w + 7) = 4
Step-by-step explanation:
w is the unknown number.
5 times something means multiply something 5 times.
a sum means adding things
so, the sum of a number and 7 is
w + 7
5 times that sum is then
5×(w + 7)
and that while thing is (equals) 4
5×(w + 7) = 4
by the way, solving that means
5w + 35 = 4
5w = -31
w = -31/5
Answer:
5(w + 7) = 4
Step-by-step explanation:
Do one part of the sentence at a time until you write the entire sentence as an equation.
"Five times the sum of a number and 7 is 4."
The problem tells us to use w for the number, so we write w below.
w
"Five times the sum of a number and 7 is 4."
Now we move on to the part dealing with the sum of the number and 7. A sum is an addition, so we add 7 to the number w.
w + 7
"Five times the sum of a number and 7 is 4."
Now we take care of the part dealing with product of 5 and the sum.
5(w + 7)
"Five times the sum of a number and 7 is 4."
The last part is dealing with the part "is 4". The word "is" very often means "equals", so the entire expression we wrote is equal to 4.
5(w + 7) = 4
Answer: 5(w + 7) = 4
Please help!!!!!!!!!!!!!!
Step-by-step explanation:
[tex] {40}^{ \frac{1}{2} } and \: 2 \sqrt{10} [/tex]
find the value of a if the line joining the points (3a,4) and (a,-3) has a gradient of 1
Recall that the slope or gradient of a line segment through two points is the ratio of the change in the y coordinate to the change in the x coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (a - 3a)
Solve for a :
1 = -7 / (-2a)
1 = 7/(2a)
2a = 7
a = 7/2
Evaluate (27)−1/3(27)−1/3×[271/3−272/3]
Answer:
[tex](27) - \frac{1}{3} (27) - \frac{1}{3} \times ( \frac{271}{3} - \frac{272}{3} ) \\ \\ 27 - 9 - \frac{1}{3} ( \frac{ - 1}{3} ) \\ \\ 27 - 9 - ( - \frac{1}{9} ) \\ \\ 27 - 9 + \frac{1}{9} \\ \\ \frac{243 - 81 + 1}{9} \\ \\ = \frac{163}{9} = 18.1 = 18 \frac{1}{9} [/tex]
I hope I helped you^_^
what is the sum of (3x^2y+4xy^2-2y^3+3) and (x^2y+2y^3-4)
Answer:
This is the sum ---> 4x^2y + 4xy^2 - 1
Step-by-step explanation:
(3x^2y+4xy^2-2y^3+3) + (x^2y+2y^3-4)
(remove the parenthesis)
= 3x^2y + 4xy^2 - 2y^3 + 3 + x^2y + 2y^3 - 4
(now, group the like terms)
= -2y^3 + 2y^3 + 4xy^2 + 3x^2y + x^2y + 3 - 4
(add the elements you think are alike or similar)
= -2y^3 + 2y^3 + 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y - 1
Answer:
the sum is 4x^2y + 4xy^2 - 1
Lawrence spent $1.89 on a bottle of paint and $0.45 on a brush. What was the total amount he spent? Use the model to help you.
Which classification correctly describes the following number?
( /6 x /2)
a.
Irrational
Number
b.
Rational
Number
Answer:
a
Step-by-step explanation:
a rational number is a whole number
What is 3/4 divided 1/2
Answer:
.375
Step-by-step explanation:
five more than twice a certain number
i don’t understand at all
Answer:
26
Step-by-step explanation:
It says find f(f(2)), so we need to find f(2) and then input that into the same function. f(2)=5 so then we input that into the function again and get 26. Boom.
Answer:
26
Step-by-step explanation:
Ok first u find f(2) so for that u have to input 2 into the value of x. So 2^2 +1 =5
When we get 5 we input THAT into f(x)
So:
F(5) = 5^2 +1
=26
given f(x)=-3x+3solve for x when f(x)=6
Answer:
x = -1
Step-by-step explanation:
Given: [tex]f(x) = - 3x + 3[/tex]
Solve for x, When: [tex]f(x) = 6[/tex]
Step by step:
[tex] - 3x + 3 = 6[/tex]
[tex] - 3x = 6 - 3[/tex]
[tex] - 3x = 3[/tex]
[tex]x = 3 \div - 3[/tex]
[tex]\boxed{\green{x = - 1}}[/tex]
What is the height of a triangle with an area of 32 cm2
and a base of 8 cm?
Answer:
8 32 A for area and H for height
Step-by-step explanation:
The speed of light is approximately 300,000 kilometers per second. How many miles does light travel in an hour?
Answer:
671080887.6
Step-by-step explanation:
1 second = 300,000km
3600 seconds = 3600 x 300,000 = 1080000000 km then convert to miles
is 671080887.6
Help what is the slope of the line?
9514 1404 393
Answer:
8/5 = 1.6
Step-by-step explanation:
It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6
The slope of the line seems to be about 8/5, or 1.6.
Yoooo help me outttt
Answer:
P Coordinate = (4, -2)
Solve : x/3-2/5 = 2x/15-3/5
Step-by-step explanation:
x/3-2/5=2x/15-3x
5x-6=2x-9
5x-2x=-9+6
3x=-3
3x/3=-3/3
x=-1
Find the rate of change
Answer: 280 graduates per year
Step-by-step explanation:
the rate of change is the change in y (number of graduates) divided by the change in x (year).
So: [tex]\frac{8.9-7.5}{2010-2005} = 0.28[/tex] because this number is in thousands of graduates, multiply by 1000 to get 0.28*1000=280 graduates per year
Answer:
[tex]\frac{1.4}{5}[/tex]
Step-by-step explanation:
We have the coordinates (2005, 7.5) and (2010, 8.9). To find the rate of change we must use the equation [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] which is [tex]\frac{8.9-7.5}{2010-2005}[/tex]. To simplify that further, we get [tex]\frac{1.4}{5}[/tex] therefore the rate of change is 1.4 over 5.
Is -10/3 greater or less that the square root of -9
Step-by-step explanation:
The square root of -9 is greater than that
HELP me guys i am illiterate
Find the unknown angles
Answer:
90°
Step-by-step explanation:
X=180°-(45°+45°){being square property}
X=180°-90°
X=90°
solve thefollowing
a) 2(x + 3) = x - 4
if cos A=0.6, find the value of 5 sin A - 3 tan A
Answer:
0
Step-by-step explanation:
hopefully the picture is visible and understandable.
:)
11c+10+8-6???help...
Answer:
11c+12
Step-by-step explanation:
It's just simple addition and subtraction, it just happens to have a variable.
(The question wasn't super clear on if it was just simplification or if you're supposed to solve for c but if it's asking to solve for c I can update the answer if you let me know)
please help!!!!!
what is -x+2x???
A)find mode:2,4,6,8,6,4,2,4,2,4,6,6,4
B)If A= {0,1,2,3,4} find n(A)
Find the volume of a rectangular prism that is 10 cm long, 3 cm wide, and 2 cm high. Please draw and label the prism
Answer:
Volume = Length × Width × Height
Volume = 10 × 3 × 2
Volume = 60 cm
What is the inverse of multiplication?
(A) subtraction
(B) division
(C) addition
(D) multiplication
Answer:
b
Step-by-step explanation:
Answer:
b) division.
Hope it helps you....Please answer , with work . Thank you !