Let f(x)=3x^2+2.
The equation g(x) is f(x) translated up 5 units.
What is the equation of g(x)?
Answer:
g(x) = 3x² + 7
Explanation:
Here the f(x) is translated up 5 units, so we shall increase y axis by + 5
so new equation: g(x) = 3x² + 2 + 5 ➛ g(x) = 3x² + 7
check the image given below. The red line is f(x) and blue line g(x)Answer:
g(x) = 3x² + 7
Step-by-step explanation:
If a function is translated 5 units up then:
g(x) = f(x) + 5
⇒ g(x) = 3x² + 2 + 5
⇒ g(x) = 3x² + 7
hi pls help will mark as brainlist
Answer:
(5x + 3x) (x -5)
Step-by-step explanation:
Factor a GCF from the expression, if possible.
Factor a Trinomial, if possible.
Factor a Difference Between Two Squares as many times as possible.
If the equation is in the form a2-b2, factor it to (a+b)(a-b). Equations with two variables factor differently than basic quadratics. For any equation a2-b2 where a and b do not equal 0, the equation factors to (a+b)(a-b). For example, the equation 9x2 - 4y2 = (3x + 2y)(3x - 2y).
Please help me answer this
Answer:
[tex] \frac{8}{x3y} [/tex]
Here you go.Hope this help!!
[tex]\\ \rm\hookrightarrow \dfrac{8x^4y^3}{x^7y^4}[/tex]
a^m/a^n=a^m-n[tex]\\ \rm\hookrightarrow \dfrac{8x^{4-7}y^{3-4}}{}[/tex]
[tex]\\ \rm\hookrightarrow 8x^{-3}y^{-1}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{8}{x^3y}[/tex]
Rewrite the following equation in slope intercept form. 7x - 20y = -11
Answer:
y=7/20x+11/20
Step-by-step explanation:
7x-20y=-11
20y=7x-(-11)
20y=7x+11
y=7/20x+11/20
What is the y-intercept of the equation y=10,000(0. 97)x ?
10,000
1
0. 97
0
PLEASE HELP ASAPPPP (THIS IS QUESTION 15) ALSO CONSUMER MATH
Answer:
Step-by-step explanation:
The y intercept, is when x=0, and so it is 10000(0.97)^0 = 10000
Find the length of side
x
x to the nearest tenth.
Answer:
above is the solution to the question
Answer:
Step-by-step explanation:
The ratio of sides of 30 -60 -90 triangle is : a : a√3 :2a
2a = 5
a = 5/2 = 2.5
x = a*√3
= 2.5√3
= 2.5 * 1.732
= 4.3
x= 4.3
The area of a square is (36d^2 - 360d + 9) in^2.
a. What expression represents the length of a side of the square?
b. What expression represents the perimeter of the square?
c. What are the length of a side, the perimeter, and the area of the square when d = 2 in.?
I need help like, seriously.
Answer:
Step-by-step explanation:
36 d²-36 d+9=9(4d²+4d+1)
=9[4d²+2d+2d+1]
=9[2d(2d+1)+1(2d+1)]
=9(2d+1)(2d+1)
=9(2d+1)²
=[3(2d+1)]²
=(6d+6)²
length=6d+6
perimeter=4(6d+6)=24d+24
when d=2
length=6×2+6=18in
perimeter=4×18=72 in
area=18²=324 in²
A ladder is leaning against the top of
a building. If the ladder is 12.5 m long and
3m from the base of the building, what is
the angle of elevation from the ladder to
the top of the building?
Answer:
Step-by-step explanation:
Discussion
You are working with the Cosine of the angle.
Hypotenuse = 12.5
Base = 3
Theta = ?
Solution
Cos(theta) = base / hypotenuse Substitute values
Cos(theta) = 3 / 12.5 Divide
Cos(theta) = 0.24 Tale the inverse cos
theta = cos-1(0.24)
theta = 76.11 degrees
Work Shown:
Check out the diagram below for the triangle drawing, and also the steps needed to find the angle.
what is the area of this traingle of 12 in of height and 3 in of base iready
Answer:
Triangle area formula is base x height /2
Step-by-step explanation:
12 x 3 = 36
36/2 = 18
A = 18
Mark Brainliest!
Cananyone help me? Please and Thank you!!
Answer:
R=12.56
Step-by-step explanation:
radius is the center to side or half of the circumference 25.12/2=12.56
) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The
bed is shaped like a rectangular prism that is 4 1/2 feet wide and 1/2 of a foot tall. Turner and his
grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed
completely.
How long is the garden bed?
1) Write your answer as a whole number, proper fraction, or mixed number.
The length of the garden bed is 6 feet
The volume of a rectangular prismThe formula for calculating the volume of a rectangular prism is expressed as:
V = lwh
If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;
V = 3/4 * 18
V = 13.5 cubic foot
In order to determine the length of the garden;
135/10 = 9/2 * 1/2l
27/2 =9/4 l
18l = 27 * 4
18l = 108
l = 6 feet
Hence the length of the garden bed is 6 feet
Learn more on volume of rectangular prism here: https://brainly.com/question/24284033
can anyone solve this?
6÷2(1+2)=
Answer:
9
Solving steps:
=> 6÷2(1+2)
divide 6 by 2
=> 3(1+2)
add values inside the bracket
=> 3(3)
multiply 3 by 3
=> 9
Answer:
9
Step-by-step explanation:
Use parenthesis, exponents, multiplication, division, addition, and subtraction, witch stands for PEMDAS.
1. 1+2 is the first step, since it is in the parenthesis. This gives you 3
2. You do 6÷2, since that is the next step. Since the operations are from left to right , you move on the next step, witch is divison. This also gives you 3.
3. You do the final step, witch is to multiply, so you do 3 x 3 , witch gives you 9.
PLEASE HELP 45 POINTS!!!!!
Answer:
[tex]\sf x = 5[/tex][tex]\sf DF = 12[/tex]setting up proportionality equation:
[tex]\sf \dfrac{big-side}{big-diagonal} = \sf \dfrac{small-side}{small-diagonal}[/tex]
[tex]\sf \hookrightarrow \dfrac{7}{16+x+7} = \dfrac{4}{16}[/tex]
[tex]\sf \hookrightarrow \dfrac{7}{23+x} = \dfrac{4}{16}[/tex]
[tex]\sf \hookrightarrow 4(23+x) = 112[/tex]
[tex]\sf \hookrightarrow 92 + 4x = 112[/tex]
[tex]\sf \hookrightarrow 4x = 112- 92[/tex]
[tex]\sf \hookrightarrow 4x = 20[/tex]
[tex]\sf \hookrightarrow x = 5[/tex]
Find DF:
[tex]\hookrightarrow \sf x + 7[/tex]
[tex]\hookrightarrow \sf 5 + 7[/tex]
[tex]\hookrightarrow \sf 12[/tex]
Answer:
We see 2 congruent triangles: Triangle DBC and FEC. Let's set up a proportion to find the value of x and length of DF.
[tex]\frac{BE+EC}{DF+FC} =\frac{EC}{FC}[/tex]
[tex]\frac{3+4}{(x+7)+16} =\frac{4}{16}[/tex]
Cross multiply and solve for x.
[tex](3+4)*16=((x+7)+16)*4[/tex]
[tex]7*16=(x+23)*4[/tex]
[tex]112=(x+23)*4[/tex]
[tex]28= (x+23)[/tex]
x= 5
Now to solve for the length of DF, plug in x into DF.
DF=(x+7)
DF=(5+7)
DF= 12
What is the sum? startfraction 3 over x squared minus 9 endfraction startfraction 5 over x 3 endfraction startfraction 8 over x squared x minus 6 endfraction startfraction 5 x minus 12 over x minus 3 endfraction startfraction negative 5 x over (x 3) (x minus 3) endfraction startfraction 5 x minus 12 over (x 3) (x minus 3)
The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expressions are given below.
[tex]\rm \dfrac{3}{x^2 - 9} \ and \ \dfrac{5}{x+3}[/tex]
The sum of the expressions will be
[tex]\rm \dfrac{3}{x^2 - 9} + \dfrac{5}{x+3}[/tex]
We know that the formula
a² – b² = (a + b)(a – b)
Then we have
[tex]\rm \dfrac{3}{x^2 - 3^2} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3}{(x-3)(x+3)} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3+5(x-3)}{(x-3)(x+3)} \\\\\\\dfrac{3+5x-15}{(x-3)(x+3)} \\\\\\\dfrac{5x-12}{(x-3)(x+3)}[/tex]
The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.
More about the fraction number link is given below.
https://brainly.com/question/78672
i need help graphing this
Answer:
i put below. if you have a smart website (i dont know how to say it) then all you need is two points
Step-by-step explanation:
all you have to do is find two points
pick any points
lets say x = 0 and x = 2
y = -2(0) + 7
y = 7
(0,7)
y = -2(2) + 7
y = -4 + 7
y = 3
(2, 3)
then graph
Leila drove 756 miles in 12 hours. At the same rate, how many miles would she drive in 5 hours?
I NEED HELP!
Find the volume.
Thanks!
Answer:
364
Step-by-step explanation:
Hello, you can use the formula which is [tex]v=lwh/3[/tex]
Find the missing angle.
Step-by-step explanation:
22+78+x=180
100+x=180
x=180-100.
x=80
hope this helps you
have a nice day
Answer:
80
Step-by-step explanation:
180-(22+78)=80
sum of angles in a triangle is 180 degrees
A={-3-2, -1, 0}
B={0,2,3,4,5}
A U B
Answer:
-3,-2,-1,0,2,3,4,5
hope it helps
Desmond is rowing a standard six sided number cube times how many times Would he roll a 5 or a 6
can you still help me out still im giving good points away
Answer:
x = 60 degrees.
Step-by-step explanation:
The sides are all equal to one another, so that means that it is an equilateral triangle. An equilateral triangle's angle measures are always 60 degrees.
[tex]Hello,BrainlyUser][/tex]
Answer:
x = 60
Step-by-step explanation:
Since the triangle in the picture is a equilateral triangle. If you don't know what a equilateral triangle.. I will explain to you; An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
Thus, we can infer that x = 60.
[CloudBreeze]
Consider the function f(x) = x^2 + 2x – 15. What are the x-intercepts of the function?
Left-most x-intercept: (
1,0)
Right-most x-intercept:(
0)
Answer:
Left-most: (-5,0) Right-most: (3,0)
Step-by-step explanation:
Graph the equation and it would show where the x-intercepts are.
Hope this helped you! (:
The trinomial 2x2 13x 6 has a linear factor of x 6. 2x2 13x 6 = (x 6)(?) what is the other linear factor? x 3 x 6 2x 1 2x 3
The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].
The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex]. we need to find another linear factor say X.
[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)[/tex]
what is a linear factor?The linear factor of the polynomial is the first-degree polynomial equations represented as [tex]\rm ax+b[/tex] and cannot be factored further.
So, the other factor X can be calculated as,
[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)\\\rm 2x^{2} +13x+6\div \rm (x+6)=X\\\rm (x+6)\times \rm (2x+1)\div \rm (x+6)=X\\X=\rm (2x+1)[/tex]
Therefore, The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].
learn more about the factorization of polynomials here;
https://brainly.com/question/26354419
Complete the numerical series.
1.4 , 8 , 10 , 20 , 22 , 44 , 46 , ___, ___, ___,
2.1 , 2 , -1 , -3 , -7 , -21 , -25,___, ___, ____,
3.0 , 1 , 1 , 2 , 3 , 5 , 8 , ___, ___, ____,
4.4, 12, 16 , 48 , 52 , 156 , 160 , ____, ____ , ____,
5.9 , 12 , 7 , 10 ,5 , 8 , 3 , ___, ___, ____,
6.16 , 22 , 19 , 25 , 22 , 28 , 25 , ___, ____, ____,
7.4 , 12 , 16 , 48 , 52 , 156 , 160 , ___, ___, _____,
8.4 , 8 , 1 , 2 , -5 , -10 , -17 , ____,____,____,
9.22, 28 , 21 , 27 , 20 , 26 , 19 , ____, _____, _____,
10.1 , 2 , -4 , -8 , -14 , -28 , -34 , ____, ______, _____
Step-by-step explanation:
1.
double, +2, double, +2, ...
, 92, 94, 188
2.
I think you made a mistake with the second number. based on the following numbers the number sequence seems to be
1, 3, -1, -3, -7, -21, -25,
and then the pattern is
times 3, minus 4, times 3, minus 4 ...
, -75, - 79, -237
3.
sum of the previous 2 numbers (Fibonacci numbers)
, 13, 21, 34
4.
times 3, plus 4, times 3, plus 4, ...
, 480, 484, 1452
5.
plus 3, minus 5, plus 3, minus 5 ...
, 6, 1, 4
6.
plus 6, minus 3, plus 6, minus 3 ...
, 31, 28, 34
7.
the same as 4.
8.
times 2, minus 7, times 2, minus 7 ...
, -34, -41, -82
9.
plus 6, minus 7, plus 6, minus 7 ...
, 25, 18, 24
10.
times 2, minus 6, times 2, minus 6 ...
, -68, -74, -148
0.075538 to 2 decimal place
0.081770 to 3 significant figure
Answer:0.08
0.0818
Step-by-step explanation:
Tyee has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
Answer:
monologue the importance of small scale and the importance of small scale and the importance to Puja and the importance of small
Step-by-step explanation:
CUZ THE first try to Puja the importance of small scale and the importance of small scale and the importance of small scale and the importance of small scale and the importance of small scale of small scale and the importance of small scale and the importance of small scale and the importance of small scale and the importance of small businesses to get flame easy for 7class and the importance of small scale and place in I have heard a lot about the importance of small scale 6and and the other day
what is squre root of 8
Answer:
2.838
Step-by-step explanation:
put it in the calculator.
if CE=5, YF=21 and XZ=15, determine and state the perimeter of triangle CFX.
The perimeter of the triangle CFX is the sum of lengths CF, FX and XC
The perimeter of the triangle CFX is 82 units
How to determine the perimeter of triangle CFXThe given parameters are:
CE=5, YF=21 and XZ=15
Points E, Y and Z are the median of the triangle CFX.
This means that:
CF = 2 * CE
FX = 2 * YF
XC = 2 * XZ
The perimeter of triangle CFX is then calculated as:
Perimeter = CF + FX + XC
This gives
Perimeter = 2 * CE + 2 * YF + 2 * XZ
So, we have:
Perimeter = 2 * 5 + 2 * 21 + 2 * 15
Perimeter = 82
Hence, the perimeter of the triangle CFX is 82 units
Read more about the perimeters at:
https://brainly.com/question/24571594
Multiply. Assume p, q, and r are greater than or equal to zero, and write your answer in the simplest form.
radical 11p^4 q^3 r · 2 radical 385p^4 r
Answer:
[tex]{22p^4qr\sqrt{35q[/tex]
Step-by-step explanation:
I am interpreting what you wrote as [tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}[/tex], sorry if that's not what you meant!
We rewrite [tex]385[/tex] as [tex]5 \cdot 7 \cdot 11[/tex]. Since the radicals have the same index, the expression can be written as
[tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}=2\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}[/tex].
Multiplying like terms, the expression simplifies to
[tex]2\sqrt{5\cdot7\cdot11^2p^8q^3r^2}\\[/tex].
Taking out the perfect square factors, [tex]11^2, p^8, q^2,[/tex] and [tex]r^2,[/tex] we get
[tex]2\cdot11p^4qr\sqrt{5\cdot7q[/tex], or
[tex]\boxed{22p^4qr\sqrt{35q}}[/tex].
[tex]\begin{align*}\\\sqrt{11p^4q^3r} \cdot\sqrt{385p^4r}=\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}\\=\sqrt{11^2p^8q^3r^2}\\\end{align*}[/tex][tex]\begin{align*}\sqrt{5*4}\\\end{align*}[/tex]
Which of the following situations are equal to 75%? Select all that apply.
A) 9 out of 12
B) 27 out of 36
C) 4 out of 8
D) 60 out of 80
E) 15 out of 25
Answer:
A) 9 out of 12
Step-by-step explanation:
The first step is to divide 9 by 12 to get the answer in decimal form:
9 / 12 = 0.7500
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.7500 * 100 = 75.00%
We can prove that the answer is correct by taking 75.00 percent of 12 to get 9:
(12 x 75.00)/100 = 9