Rewrite the function by completing the square
h(x)=4x^2+4x+1
Answer:
[tex]h(x) = 4(x+\frac{1}{2})^{2}[/tex]
Step-by-step explanation:
[tex]h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}[/tex]
Consider the graph of the function f(x)=10^x.
Using graph, the value of g(x) = 8 and the y- intercept at the point (0,-1).
What is graph?A graph is a "mathematical representation of a network and it describes relationship between lines and points".
According to the question,
f(x) = [tex]10^x[/tex]
g(x) = -4f(x) +12
g(x) = -4 (10ˣ) +12
The graph intersect at y-axis then x-coordinate should be zero.
Let take any two points on y-axis (0, 1) and substitute g(0) = -4 (10⁰) + 12
= 8
Hence, the value of g(x) = 8 and the y- intercept at the point (0,-1).
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A 3-column table with 4 rows. Column 1 is labeled Rectangle with entries A, B, C, D. Column 2 is labeled Width with entries 3 feet, 6 feet, 15 feet, 60 feet. Column 3 is labeled Length with entries 5 feet, 10 feet, 25 feet, 90 feet. Which rectangle is not an enlargement of rectangle A? A B C D
Answer:
The answer is d
Step-by-step explanation:
Answer:
it D
Step-by-step explanation:
hope it helps
The two lines
graphed on the
coordinate plane each
represent a linear
equation. Which one of
the following ordered
palrs simultaneously
satisfies both linear
equations?
A.(-7,2)
B.(7,1)
C.(2,-7)
D.(5,5)
Answer:
yewhuh
Step-by-step explanation:
The perimeter of a triangle is 51 cm. The lengths of its sides are x cm, x + 2 cm,
and x + 4 cm. What is the length, in cm, of the longest side of the triangle?
Step-by-step explanation:
16, 17 and 18
Explanation:
a
+
b
+
c
=
51
a
+
a
+
1
+
a
+
2
=
51
3
a
=
48
a
=
16
b
=
17
c
=
18
Explanation:
a
+
bAnswer:
+
c
=
51
a
+
a
+
1
+
a
+
2
=
51
3
a
=
48
a
=
16
b
=
17
c
=
18
Please please help hope you have a great day
if u missed my first on here: If you can guess my number from 1-10 in your first try ill give brainliest :) but if you are like 1-2 numbers away, (soooo close) I'll still give you a brainliest
Answer:
7
Step-by-step explanation:
I think 7...... so yeah
Answer:
5 I think think
Step-by-step explanation:
5 I think
I don’t know this, solve for x
Answer:
x = 62/61Step-by-step explanation:
120 + 61x -2 = 180 ( sum of opposite angles)
118 + 61x =180
61x= 62
x = 62/61
How many teaspoons are in 200 milliliters? 1 tsp = 5 ml 200 mL = [?] tsp
Answer: 40
Step-by-step explanation:
using dimensional analysis ( you might not have learned this yet, but it's basically multiplying things to cancel out units)...
200 ml * (1 tsp/ 5 ml) = 40 tsp
200 milliliters is equal to 40 teaspoons.
Here, we have,
given that,
1 tsp = 5 ml
so, we get,
If 1 teaspoon (tsp) is equal to 5 milliliters (ml),
then to find how many teaspoons are in 200 milliliters (mL),
we have to divide 200 by 5:
so, we get,
200 mL / 5 mL/tsp
= 40 teaspoons (tsp)
i.e. 200 ml * (1 tsp/ 5 ml) = 40 tsp
So, 200 milliliters is equal to 40 teaspoons.
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HELP PLEASE ITS DUE TOMMOROW AND I HAVE 2 TESTS TO TAKE TODAY D:
Directions: Find the value of each variable (x and/or y)
Answer:
x=25
x=47
y=25 x=10
y=20
Step-by-step explanation:
2x+10=60
-10 -10
2x=50
2x/2=50/2
x=25
2x+6=100
-6 -6
2x=94
2x/2=94/2
x=47
5y-25=100
+25 +25
5y=125
5y/5=125/5
y=25
11x-30+100=180
11x+70=180
-70 -70
11x=110
11x/11=110/11
x=10
7y-10=3y+70
+10 +10
7y=3y+80
-3y-3y
4y=80
4y/4=80/4
y=20
hopefully this helps :)
Tell whether the ratios form a proportion. 1/3, 7/21
Yes
or
No
(also i give out branislist lol)
Answer:
Yes
Step-by-step explanation:
7/21 -> Divide both sides by 7 which gets you 1/3
Answer:
i would say yes
my work :
so i did 21 times 1 which is 21.
Tben i did 3 times 7 which is also 21.
So in conclusion i would say yes but i can't guarantee that
12 is 90% of what number?
with steps
Answer:
Let's understand the concept:-Here 12 is 90% of a number. So we can say that 90% of That number is 12 .In this way we can get the the number Solution:-Let,
the number=x
According to the question ,[tex]{:}\longrightarrow[/tex][tex]\sf 90\% \:of \;x=12 [/tex]
We know 90%=90/100so add it[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {90}{100}}\times x=12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {90x}{100}}=12 [/tex]
Now use cross multiplication method[tex]{:}\longrightarrow[/tex][tex]\sf 90x=12\times 100 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 90x=1200 [/tex]
Now interchange sides .[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {1200}{90}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {200}{15}}[/tex]
Answer will come in decimals so we take approximate value.[tex]{:}\longrightarrow[/tex][tex]\sf x=13.3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=approximately \:13[/tex]
[tex]\therefore[/tex]The number is 13.
PLEASEEEE HELPPP!!
Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure
Answer:
3. Distributive
Step-by-step explanation:
In the equation 3(x - 2y) if you distribute the 3 to the x and the -2 you would get 3x-6y.
The property illustrated in the equation is 3)Distributive
What is the Distributive property?Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.
Given here, 3x-6y=3(x-2y)
Thus clearly 3 is distributed over x and 2y
Hence, The property illustrated in the equation is 3)Distributive
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Which of the following is a solution of 4x^2=-9x-4
Answer:
(-9+√17)/8
Step-by-step explanation:
its an example of quadratic
What is the equation of a line in slope-intercept form if the slope is -8 and the y-intercept is 5
Answer:
y = -8x + 5
Step-by-step explanation:
Can anyone help me on questions 1-6 and 7-9? If it helps, the blocked document lesson name is lesson 1-6
x –12 = -8x + 6 a.x = 2 b.x = -2 c.x = 3 d.x = -3
Answer:
(a) x = 2
Step-by-step explanation:
x - 12 = -8x + 6
First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)
x - 12 + 8x = 6
x + 8x = 6 + 12
9x = 18
Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)
x = [tex]\frac{18}{9}[/tex]
x = 2
Therefore, your answer is (a), since x = 2.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Every workday, Zoe bikes 2.6 miles to work along city streets. On the way back, she likes to take a shortcut through a park, so she only bikes 0.9 times that far. How many miles does Zoe bike to work and back in a 5-day workweek?
Answer:
24.7
Step-by-step explanation:
Which statement is true for this linear equation?
5x + 6 = 26
It has 2 constants, 1 coefficient, and 1 variable.
It has 2 constants, 1 coefficient, and 2 variables.
It has 1 constant, 2 coefficients, and 1 variable.
It has 3 constants, no coefficients, and no variables.
Answer:
It has 2 constants, 1 coefficient, and 1 variable.
The given linear equation 5x + 6 = 26 has 2 constants, 1 coefficient, and 1 variable.
What is a variable?A quantity that may assume any one of a set of values.
What is a constant?A value or number that never changes in expression
What is a coefficient?A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Given equation is 5x + 6 = 26
variables is "x" i.e. 1
constants are 6, 26 i.e. 2
coefficient is 5 i.e. 1
Thus the given linear equation 5x + 6 = 26 has 2 constants, 1 coefficient, and 1 variable.
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Please answer ASAP!!! :)
.-. .-. .-. .-. .-. .-.
Answer:
I highly recommend that it must be the second story
A turkey costs $1.05 per pound. They're going to be 15 people at Thanksgiving dinner. Plan for each person to eat two, 3 / 8 lb servings of turkey. How many pounds of turkey will you need to buy?
Answer:
11.25 pounds of chicken need to be bought
Step-by-step explanation:
Per person will eat:
3/8 * 2 = 3/4 = 0.75 pound
So if one person will eat 0.75 pound.
15 people will eat 15 * 0.75 = 11.25 pounds
Someone please help me, please
Prove that Triangle abc and Triangle edc are similar
The corresponding sides have equal ratios, so the triangles are similar triangles.
From the question, we have:
In triangle ABC, AB = 3, BC = 5 and AC = 4
In triangle EDC, ED = 9, DC = 15 and EC = 12
For the triangles to be similar, then the corresponding sides must have an equivalent ratio.
This is calculated as:
[tex]\mathbf{Ratio = \frac{ED}{AB} = \frac{DC}{BC} = \frac{EC}{AC}}[/tex]
So, we have:
[tex]\mathbf{Ratio = \frac{9}{3} = \frac{15}{5} = \frac{12}{4}}[/tex]
[tex]\mathbf{Ratio =3 = 3 = 3}[/tex]
[tex]\mathbf{Ratio =3}[/tex]
Because the corresponding sides have equal ratios, then the triangles are similar.
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Pam, Wesley, and Diana added up how many miles they walked together.
In one week, they walked 38 miles.
Of those miles, Pam walked 13.
How many miles did Diana walk?
Answer:
12.5
Step-by-step explanation:
If they walked 38 miles and Pam walked 13, subtract 38 from 13, you then get 25. Then, divide that by 2. 25 divided by 2 is 12.5. That is your answer, I believe. Please make this the brainliest answer.
one large papaya weighed 5 kg if 20 children shared it by cutting into pieces , how much would each piece weight?
Answer:
0.25 kg
Step-by-step explanation:
This is a division problem, assuming the papaya is cut evenly.
[Divide]
5 kg / 20 children = 0.25 kg
Mr. Blanco used 15.75 yards of fabric to make 7 costumes for the school play. How many yards of fabric did he use per costume?
Answer:
2.25 yards per costume
Step-by-step explanation:
if you want to find the unit rate of something put it into a fraction which is also considered dividing. Like if you want to figure out miles per hour or ounces per cup, just divide miles by hour, or divide ounces per cup to get your final answer. In this case divide 15.75 yards of fabric by 7 costumes to get your answer.
Answer:
2.25
Step-by-step explanation:
5x+2y=29
x+4y =13
i don’t know that answer
Answer:
x=71/9, y= -47/9
Step-by-step explanation:
5x+2y=29
x+4y=13 subtract 4y from both sides
x= -4y+13 substitute on the first one
5( -4y+13) + 2y = 29 distribute in parenthesis
-20y - 65 +2y =29 add 65 to both sides
-20y +2y = 29+65 combine like terms
-18y = 94 divide by -18 both sides
y= 94/-18= -47/9
substitute y =-47/9 in x=-4y+13
x=-4(-47/9)+13=(188/9)+13=188+117/9=71/9
how many numbers are in pi
Answer:
31 trillion digits
Step-by-step explanation:
Help me and i will mark as brainliest
Step-by-step explanation:
BAC=56
ACB=62
ADC=62
COB=112
At what point does the graph of the line y=2x−6 cross the y-axis?
a.(2, −6)
b.(0, 2)
c. (0, −6)
d. I don't know.