Answer:
2x² + 9x + 9
Step-by-step explanation:
To evaluate f(x + 3) substitute x = x + 3 into f(x), that is
f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL
= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis
= 2x² + 12x + 18 - 3x - 9 ← collect like terms
= 2x² + 9x + 9
Order each set of cards from least to greatest. a. .,⎯⎯⎯⎯√,0.25 , comma , square root of 1 ninth end root , comma , 6 twenty fifths b. ⎯⎯⎯⎯⎯⎯⎯√,.,⎯⎯√square root of 121 over 25 end root , comma , 2.25 , comma square root of 5
Given:
a. [tex]\sqrt{0.25},\sqrt{\dfrac{1}{9}},\dfrac{6}{25}[/tex]
b. [tex]\sqrt{\dfrac{121}{25}},2.25,\sqrt{5}[/tex]
To find:
The correct order for each set of cards from least to greatest.
Solution:
a. [tex]\sqrt{0.25},\sqrt{\dfrac{1}{9}},\dfrac{6}{25}[/tex]
Convert all numbers in decimal form.
[tex]\sqrt{0.25}=0.5[/tex]
[tex]\sqrt{\dfrac{1}{9}}=\dfrac{1}{3}=0.333...[/tex]
[tex]\dfrac{6}{25}=0.24[/tex]
It is clear that,
[tex]0.24<0.33...<0.5[/tex]
[tex]\dfrac{6}{25}<\sqrt{\dfrac{1}{9}}<\sqrt{0.25}[/tex]
Therefore, the required order is [tex]\dfrac{6}{25},\sqrt{\dfrac{1}{9}},\sqrt{0.25}[/tex].
b. [tex]\sqrt{\dfrac{121}{25}},2.25,\sqrt{5}[/tex]
Convert all numbers in decimal form.
[tex]\sqrt{\dfrac{121}{25}}=\dfrac{11}{5}=2.2[/tex]
[tex]2.25[/tex] already in decimal form.
[tex]\sqrt{5}\approx 2.236[/tex]
It is clear that,
[tex]2.2<2.236<2.25[/tex]
[tex]\sqrt{\dfrac{121}{25}}<\sqrt{5}<2.25[/tex]
Therefore, the required order is [tex]\sqrt{\dfrac{121}{25}},\sqrt{5},2.25[/tex].
is 89.396668 ratinal or irrational
Answer:
The number is rational
Step-by-step explanation:
89.396668 is terminating decimal number
Therefore it is rational.
Answer:it is a rational number
5) A submarine is cruising at -40 meters (40 meters below the surface). It
descends 20 meters, then rises 35 meters. What is the submarine's new depth? *
-25 m
-95 m
25 m
15 m
Answer:
-25
Step-by-step explanation:
You begin with -40, then decrease by 20 so your new value is -60, then increase by 35 so your final value is -25m... hope this helps (:
Paul took 6 blocks and arranged them in a pile. If each block is 4 inches in height. How many feet high is the pile that Paul made?
Answer:
The pile is 2 feet high.
Step-by-step explanation:
There are 6 blocks, each block is 4 inches in height. That means the total height is:
6×4=24 inches
Because the question asked for the answer in feet, you have to convert the 24 inches into feet:
24 inches=2 feet
find the values of x and y (2y+5) + (5x-17) +( 3x-11)
Step-by-step explanation:
Hey there!!
You can simply work with it.
(5x - 17)° + (3x - 11)° = 180° { Being a linear pair}.
or, 8x - 28°= 180°
8x = 180° + 28°
[tex]x = \frac{208}{8} [/tex]
Therefore, the value of x is 26°.
Now,
3x - 11°= 3×26°-11° = 67°
Again,
67°+90°+(2y+5)° = 180° { being linear pair}.
157°+2y+5° = 180°
or, 2y + 162° = 180°
or, 2y = 180° - 162°
[tex]y = \frac{18}{2} [/tex]
Therefore, the value of y is 9°.
The value of x is 26° and y is 9°.
Hope it helps....
Reduce the final answer, [tex]\frac{22+4}{44+16}[/tex]
what is the answer to 6(x+1)-5x=8+2(x-1)
Answer:
answer is X=0
mark this as brainiest.
Kai is making a chessboard using pieces of wood that measure 1sq in when she finishes the chessboard well have an area of 64 sq in how many pieces of wood should he put along each side
Answer:
8 pieces of wood should be put along each side of the chessboard
Step-by-step explanation:
Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.
Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood
Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood
64 pieces of wood would be needed to complete the cheeseboard.
The number of pieces to put along each side of the cheese board will be √64.
This is because the shape of a chessboard is square.
Thus the number of pieces to put on each side will be √64 = 8
A triangle has sides 6cm, and 7cm, use Pythagorean Theorem to figure out its hypotenuse.
Answer: 9.22M
Step-by-step explanation:
Please help this is my last question and I can't get it wrong or else I will literally rage at IXL.
Answer:
B
Step-by-step explanation:
So, we have the expression:
[tex](3k-1)-(5k-4)[/tex]
First, distribute the negative on the right:
[tex]=3k-1-5k+4[/tex]
Combine like terms:
[tex]=(3k-5k)+(-1+4)[/tex]
Add:
[tex]=-2k+3[/tex]
So, our only correct answer is B.
The other answers can't be obtained.
And we're done!
A square drawing for a triangular lot measures 6.8 cm by 12.3 cm. The scale is 5 cm: 25 m. Find the area of the parking lot.
5/25 = 6.8/x
5x = 170
x = 34
5/25 = 12.3/x
5x = 307.5
x = 61.5
34(61.5) = 2091 m2
hope it helps :)
At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string bean?
Answer:
47%
Step-by-step explanation:
3/4 of 5/8
3/4 • 5/8
15/32 = 0.46875 or 47%
The weights of 18 students are given below. Find the mode and range weight.
Answer:
Mode: 42 Range: 9
Step-by-step explanation:
First, I used trial and error to find the value of x which I found out was 2. Next, I found out how many people were in each weight category. Then, I put the numbers in order from least to greatest which gave me 33,33,35,35,35,37,37,37,37,39,39,39,39,42,42,42,42,42. After that, I found the number that showed up the most in this set of data which is the mode. Finally, I subtracted the smallest number(33) from the greatest number(42) and got 9 which is the range.
What is 3 over 5 + 1 over 9
Answer:
2/5
Step-by-step explanation:
3/5 + 1/9
= 12+6/45
= 18/45 which is 2/5
Marshall began making a grilled cheese sandwich at 6:13 P.M. The sandwich was ready at 6:24 P.M. How long did it take Marshall to make the sandwich?
3. A recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
How many deci-grams will there be in 60 cookies?
Answer:
250 i thoink
Step-by-step explanation:
For making 60 cookies the amount of butter will be 250 decigrams.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
The amount of butter for 60 cookies in decigrams will be calculated as,
12 cookies = 5 grams
12 cookies = 50 dg
60 cookies = ( 50 x 60 ) /60
60 cookies = 250 dg
To know more about an expression follow
https://brainly.com/question/11311384
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need an awser please help
Answer:
A
Step-by-step explanation:
Perimeter of a rectangle is 2(L+W)
2(37+28)=130 cm and the width should be less than the length by nine so 37-28=9
Help please!! Thank you
What is the value of x? 0.9(x+1.4)−2.3+0.1x=1.6 Help quick
Answer:
x= 2.64
Step-by-step explanation:
sorry im a little late but thats the answer!
Solve this please
Solve
Answer:
x = 9
Step-by-step explanation:
Simplifying
-4 = 5 + -1x
Solving
-4 = 5 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-4 + x = 5 + -1x + x
Combine like terms: -1x + x = 0
-4 + x = 5 + 0
-4 + x = 5
Add '4' to each side of the equation.
-4 + 4 + x = 5 + 4
Combine like terms: -4 + 4 = 0
0 + x = 5 + 4
x = 5 + 4
Combine like terms: 5 + 4 = 9
x = 9
Simplifying
x = 9
Answer: The answer is x=9
Step-by-step explanation: Good afternoon, I got a different step-by-step explanation for you!!! :D Step 1: Simplify both sides of the equation: [tex]-4=5-x[/tex], [tex]-4=5+-x[/tex], and [tex]-4=-x+5[/tex]. Step 2. I flipped the equation: [tex]-x+5=-4[/tex].
Step 3. Subtract 5 from the both sides: [tex]-x+5-5=-4-5[/tex] to [tex]-x=-9[/tex].
Last but not least is step 4. Divide the both sides by –1: [tex]\frac{-x}{-1}=\frac{-9}{-1}[/tex]; ∴, your answer should be x=9, I hoped your answer is very helpful, please mark me as brainliest, and have a happy holidays!! :D
cuál es la suma de los primeros 30 términos de la sucesión 1,2,3,4
Answer:
465
Step-by-step explanation:
1 + 2 + 3 + ... + n = n(n + 1)/2
1 + 2 + 3 + ... + 30 = 30(31)/2 = 465
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
a) (-3,-3) b) (-2,-1) c) (-1,1) d) (2,4)
Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let [tex] D(5, 7) = (x_2, y_2) [/tex]
[tex] C(?, ?) = (x_1, y_1) [/tex]
[tex] M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2}) [/tex]
Rewrite the equation to find the coordinates of C
[tex] 2 = \frac{x_1 + 5}{2} [/tex] and [tex] 4 = \frac{y_1 + 7}{2} [/tex]
Solve for each:
[tex] 2 = \frac{x_1 + 5}{2} [/tex]
[tex] 2*2 = \frac{x_1 + 5}{2}*2 [/tex]
[tex] 4 = x_1 + 5 [/tex]
[tex] 4 - 5 = x_1 + 5 - 5 [/tex]
[tex] -1 = x_1 [/tex]
[tex] x_1 = -1 [/tex]
[tex] 4 = \frac{y_1 + 7}{2} [/tex]
[tex] 4*2 = \frac{y_1 + 7}{2}*2 [/tex]
[tex] 8 = y_1 + 7 [/tex]
[tex] 8 - 7 = y_1 + 7 - 7 [/tex]
[tex] 1 = y_1 [/tex]
[tex] y_1 = 1 [/tex]
Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let [tex] A(-2, -9) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2}) [/tex]
[tex] -4 = \frac{x_1 - 2}{2} [/tex] and [tex] -5 = \frac{y_1 - 9}{2} [/tex]
Solve for each:
[tex] -4 = \frac{x_1 - 2}{2} [/tex]
[tex] -4*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] -8 = x_1 - 2 [/tex]
[tex] -8 + 2 = x_1 - 2 + 2 [/tex]
[tex] -6 = x_1 [/tex]
[tex] x_1 = -6 [/tex]
[tex] -5 = \frac{y_1 - 9}{2} [/tex]
[tex] -5*2 = \frac{y_1 - 9}{2}*2 [/tex]
[tex] -10 = y_1 - 9 [/tex]
[tex] -10 + 9 = y_1 - 9 + 9 [/tex]
[tex] -1 = y_1 [/tex]
[tex] y_1 = -1 [/tex]
Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
Place elementary school is raising money. they raise $90 a week. how long will it take to raise $900?
Answer: It will take 10 weeks! :)
Step-by-step explanation:
So let's look at this together.
The question states that they raise 90$ per week.
There's two ways you can do this
You can multiply,
Think, what times 90 will equal 900? The answer is 10!
90 x 10= 900!
(if you need help with multiplication, let me know)
Or you can divide.
900/90=10!
(if you need help with division, let me know)
So it would take, in total, 10 weeks to raise 900 dollars.
four boys evenly split 4 1/2 gallons of ice cream. how much will each get
Answer:
each boy would get 1 1/8 gallons of ice cream
Answer:
1.125 or 9/8
Step-by-step explanation:
4 1/2 divided by 4.
what is v+(-16)=-15
Answer:
v=1
Step-by-step explanation:
v+(-16)=-15
v-16=-15
v=-15+16
v=1
Answer:
em qual período houve diminuição do número de
which of the following statements is false?
1.5 > 1.4
6.5 < 6.05
9.12 > 9.02
3.0 = 3
Answer:
6.5<6.05, this one is false
Step-by-step explanation:
look at the Statement and the numbers, it is false through my calculation
What is the probability that the following would occur ? A spinner with 4 equally spaced sections numbered 1 through 4 is spun and lands on 1 , then a die is tossed and rolls a 1
The spinner alone: 1/4
The dice alone: 1/6
Together: 1/4*1/6=1/24
1/24
For the following questions use the points (1,5) and (6,8) What is the slope for the two points?
What is the length of the line?
the answer is c because it’s not an exact number, but it’s still reasonable considering it’s greater than 6 but still less than 7
what is 12 times 12 plus 10 . the answer is 154
Answer:
Yes, that is correct.
Step-by-step explanation:
Let's start with the order of operations.
12 x 12 = 10
Are there any brackets? No.
Exponents? No.
Multiplication or division? Yes!
12 x 12 = 144
144 + 10
Addition or Subtraction? Yes!
144 + 10 = 154
So, 154 is right!