18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2
Answer:
B
Step-by-step explanation:
When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function
With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it
Thus;
f(x) = x^2 would be;
g(x) = (x-4)^2
Corresponding to a shift to the right of upto 4 units on the x axis
Answer:
g(x)= (x-4)^2
Step-by-step explanation:
Plato/Edmentum
What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?
Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
Mrs.Carlyle bought a bag of peanuts for her children. When Phillip, Joy, Brent, abd Preston came home from school, they each took some peanuts from the bag.
identify the maximum and minimum values of the function y=10cosx in the interval [-2pie, 2pie]. Use your understanding of transformations, not your graphing calculator.
Answer:
3 x + 2 y + z/ x + y + z , x = 2 , y = 3 , z = 1
tan ( x ) , x = − π
cot ( 3 x ) , x = 2 π /3
Step-by-step explanation:
Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-intercept and the slope from the given values?
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
no pueden hablar otra idioma
Two square based pyramids are joined, total volume is 2700mm, perpendicular height of top pyramid is 16mm, perpendicular height of bottom pyramid is 20mm, length and width of joint base area both x, find x. Please help me
Answer: 15 m
Step-by-step explanation:
Given
Total volume of the combined pyramid is [tex]V=2700\ mm^3[/tex]
Height of top and bottom pyramid is
[tex]h_t=16\ mm[/tex]
[tex]h_b=20\ mm[/tex]
If the base has a side length of x, its area must be [tex]x^2[/tex]
Volume of square prism is given by
[tex]\Rightarrow V=\dfrac{1}{3}Bh\quad [\text{B=base area}]\\\\\text{Total volume will be the sum of the two pyramids}\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times 16+\dfrac{1}{3}\times x^2\times 20\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times (16+20)\\\\\Rightarrow x^2=225\\\Rightarrow x=15\ mm[/tex]
Thus, the value of [tex]x[/tex] is 15 m.
2/3(x+6)=-18 what is the value of X in the equation?
Answer:
x= -33
Step-by-step explanation:
expand the equation : 2/3x +4 =-18
Then simplify to 2/3x=-22
multiply both sides by 3/2x to get x=-33
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
x + 6 = (3/2)(-18)
x + 6 = -27
x = -33
can you help me do this Question if you can?
Answer:
A
Step-by-step explanation:
pls help me don't know what to do
Answer:
x=15
Step-by-step explanation:
The 60 degree angle and the (x+45) degree angle are both the same degree because they are vertical angles.
So to solve, just subtract 45 from 60
60-45=15
That's your answer!
Hope this helps!
Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =
Given:
The expressions are:
[tex]6+3[/tex]
[tex]6+(-4)[/tex]
[tex]6+(-6)[/tex]
To find:
The value of given expression by using integer tiles.
Solution:
We have,
[tex]6+3[/tex]
Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,
[tex]6+3=9[/tex]
Similarly,
[tex]6+(-4)[/tex]
Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,
[tex]6+(-4)=2[/tex]
[tex]6+(-6)[/tex]
Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,
[tex]6+(-6)=0[/tex]
Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].
Answer:
1=9
2=2
3=0
Step-by-step explanation:
Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45
The inequality that represents the statement on the number of marbles that the students have is 5x < 45.
What inequality represents the situation?The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x
This total is less than 45 however so the inequality will be:
(5 × x ) < 45
5x < 45
Find out more on inequalities at https://brainly.com/question/2501321.
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-4y=-20
Graph each line that represents each linear equation
Answer:
y = 5
Step-by-step explanation:
The given equation to us is
⇒ -4y = -20
⇒ y = -20/-4
⇒ y = 5
Therefore this line will pass 5 units away from y axis. For graph refer to the attachment .
More Information :-
The equation of x axis is y = 0 The equation of y axis is x = 0 .أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد .
Answer:
سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد
Step-by-step explanation:
الارتفاع = 24 سم
نصف القطر = 14 ÷ 2 = 7 سم
ارتفاع مائل = L =؟
L2 = R2 + H2
م 2 = 72 +242
م 2 = 49 + 576
م 2 = 625
L = 25
الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24
الحجم = 1232 سم
مساحة السطح المنحني = 22 × 7 × 7 × 25
مساحة السطح المنحني = 550
إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7
مساحة السطح الكلية = 704 سم
يرجى وضع علامة لي على أنه أذكى
How many possible outcomes do you have when you role 4 dice
Answer:
1296
Step-by-step explanation:
6^4
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next
Answer:
36 spuare units
Step-by-step explanation:
A= 1/2 b*h
b=8
h=9
A=1/2(8*9)
A=1/2(72)
A=36
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
What is the common ratio of the geometric sequence 6,4,8/3,16/9,...
r = 2
r = 2/3
r = -2
r = 3/2
The common ratio of the geometric sequence is: B. r = 2/3.
How to Find the Common Ratio of a Geometric Sequence?The common ratio of a geometric sequence is determined by taking the last term and divide by the preceding term.
Given the geometric sequence, 6,4,8/3,16/9,..., the common ratio is calculated as follows:
16/9 ÷ 8/3 = 16/9 × 3/8 = 2/3 × 1/1 = 2/3
Or
8/3 ÷ 4 = 8/3 × 1/4 = 2/3
Or
4/6 = 2/3
Therefore, the common ratio of the geometric sequence is: B. r = 2/3.
Learn more about common ratio on:
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(2.5, 1.3, 2.2, x), mean = 1.8
Answer:
please mark me a brainliest
[tex] \frac{2.5 + 1.3 + 2.2 + x}{4} = 1.8[/tex]
[tex] \frac{6 + x}{4} = 1.8[/tex]
6 + X = 1.8 * 4
6 + X = 7.2
X = 7.2 - 6
X = 1.2
So therefore the value of X is 1.2
Step-by-step explanation:
Have a good day
Have a good day And I hope this will help
Solve the equation and enter the value of x below. 2 + 5(x - 9) = -18
Answer:
x=5
Step-by-step explanation:
Distributive Property[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]
x=5
Hope this helped! Please mark brainliest :)
Someone help, I suck at math
option A.55°
Answer:
Solution given:
<x+<y=<z
exterior angle of a triangle is equal to the sum of two opposite interior angle
4n-18+n+8=133-6n
5n+6n=133+10
11n=143
n=143/11
n=13
exterior angle =133-6*13=55°
option A.55°
find the inverse matrix or type none use decimals [3 2
4 1]
Answer:
none
Step-by-step explanation:
accellus
The inverse matrix or type none of the given matrix is given as [tex]\rm A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex].
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrix is given below.
[tex]A = \begin{bmatrix}3& 2\\4 & 1 \\\end{bmatrix}[/tex]
Then the transpose of a will be
[tex]\rm adj \ A = \begin{bmatrix}a_{11} & a_{21} \\a_{12} & a_{22} \\\end{bmatrix}\\\\\rm adj \ A = \begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}[/tex]
Then the value of matrix A will be
[tex]\rm \left| A \right|= \begin{vmatrix}3& 2\\4 & 1\end{vmatrix}\\\\\left| A \right|= 3*1 - 4*2\\\\|A| = -5[/tex]
Then the inverse matrix is defined as
A⁻¹ = Adj A / |A|
Then we have
[tex]\rm A^{-1} = \dfrac{\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}}{-5}\\\\\\A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex]
More about the matrix link is given below.
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Hey Help me out please, thanks!
Answer:
The first one: 0=-3x-5+x²
Step-by-step explanation:
You have to rearrange the equation to identify the coffecients on the quadratic.
Answer:
First one.
Step-by-step explanation:
Put in standard form. Highest exponent to lowest to constant.
[tex]x^{2}[/tex] - 3x - 5 = 0
a[tex]x^{2}[/tex] - bx - c = 0
Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]
The answer is 3 to the 3/4 power.
Question 2 of 10
The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?
Answer:
option C is correct
x^4 - x^2 - 2.5
If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable.
Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions are g(x) and f(x) are given below.
f(x) = x⁴-x²
g(x) = x⁴-x²+2.5
We know that if we add any constant c in the function then it gets shifted upward by the c unit.
The graph is shown.
More about the function link is given below.
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find the area and perimeter of a circle
Answer:
Step-by-step explanation:
r=5 cm
area=πr²
perimeter=2πr
substitute the value of r and calculate.
Answer:
78.54 [tex]cm^{2}[/tex] Area
31.42 cm Circumference/perimeter
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
C = 2[tex]\pi[/tex]r
A = [tex]\pi[/tex][tex]5^{2}[/tex]
A = 25[tex]\pi[/tex]
A = 78.54
C = 2[tex]\pi[/tex](5)
C = 10[tex]\pi[/tex]
C = 31.42
Help me please and thank you :)
Answer:
A
Step-by-step explanation:
We have the equation:
[tex]\displaystyle \frac{3}{8}y=2+x[/tex]
And we want to determine whether or not this represents a direct proportion.
First, let's solve for y. Multiply both sides by 8/3:
[tex]\displaystyle y=\frac{16}{3}+\frac{8}{3}x[/tex]
Remember that direct proportions must pass through the origin point on a graph. In other words, their y-intercept or constant value is zero.
Since the constant value here is not zero (it is 16/3), the equation is not direct proportion.
Our answer is A.
the question is on the image
Answer:
€3,551.05
Step-by-step explanation:
31*29=899
899*3.65=€3,551.05
the school will get an estimate of €3,551.05
3 is subtrated from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
9*2-3+5
18-3+5
15+5
20
Answer:
Its 20
Step-by-step explanation:
9 x 2 = 18
18 - 3 = 15
15 + 5 = 20
PLEASE HELP! Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution?
Answer:
x = 4
Step-by-step explanation:
steps are in the pic above.