Answer:
x = -1/2
Step-by-step explanation:
Given:
Inequality 4 ≥ 2 - 4x
Find:
Value of x
Computation:
4 ≥ 2 - 4x
4x ≥ -2
x ≥ -1/2
x = -1/2
Which sequence of transformations will result in a parallelogram with vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) being carried onto the parallelogram A'B'C'D' shown below?
Answer:
translated 1 unit right and 2 units up followed by a reflection across x axis
Step-by-step explanation:
Parallelogram has vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) while parallelogram A'B'C'D' has vertices A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)
Transformation is the movement of a point from its initial location to new location. If an object is transformed then all its points are transformed. Types of transformation are rotation, reflection, dilation and translation.
If a point X(x, y) is translated a units right and b unit up , the new point is X'(x + a, y + b).
If a point X(x, y) is reflected across the x axis, the new point is X'(x, -y)
If parallelogram ABCD is translated 1 unit right and 2 units up (i.e. x + 1, y + 2), the new points is A*(-1, 3), B*(-3, -1), C*(3, -3), D*(5, -1). If a reflection across x axis is then done, the new point is A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)
Answer:
A translation 1 unit right and 2 units up followed by a reflection across the x-axis.
Step-by-step explanation:
Because you slid the shape over.
Hope this helps! Stay safe! :))))Which expression is equivalent to 163?
O 27
O 211
o 212
o 264
Answer:
C
Step-by-step explanation:
For edge
The exponential equation is given by the expression A = 2¹²
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 16³ be equation (1)
Now , the value of 16 = 2⁴
So , from the laws of exponents , we get
( mᵃ )ᵇ = mᵃᵇ
And , 2⁴⁽³⁾ = 2⁴ˣ³
And , the value of A = 2⁴ˣ³ = 2¹²
Hence , the expression is A = 2¹²
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Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.
Answer:
Step-by-step explanation:
From the figure attached,
Point X is the midpoint of line AC.
Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Therefore, coordinates of the point X will be,
= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]
= (a, a)
From triangle AXB,
Length of AB = 2a
Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of AX = BX = [tex]a\sqrt{2}[/tex]
Therefore, triangle AXB is an isosceles triangle.
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.
Answer:
$2.14
Step-by-step explanation:
x = price
24x+(x+16) = 53.5
25x+16 = 53.5
25x+53.5
x=53.5/25=2.14
Given A(2,14), B(2,3), C(4,2), and D(14,2) what is the distance of CD?
Answer: CD = 10
Step-by-step explanation:
Subtract the smaller one from the larger one.
D(14, 2) - C(4, 2)
First, you subtract the x-values:
14 - 4 = 10
Then, you subtract your y-values:
2 - 2 = 0
Since the y-value is 0 (since it is a straight line), your distance of CD is 10.
Hope this helps!
Solve for s. 7 - 45 = -3s
Answer:
12.7=s
Step-by-step explanation:
First, write the equation and combine like terms.
7-45=-3s
-38=-3s
Next, divide both sides by 3.
-38=-3s
/-3 /-3
12.7=s (I rounded the answer.)
Hope this helps! Have a great day C:
5x+2y=10
Solve for y
Answer: y=(-5x/2)+5
Step-by-step explanation:
There is no clear cut explanation for this. y cannot directly equal a number. Let me show you.
Subtract 5x from both sides.
5x-5x+2y=10-5x
2y=-5x+10
Then to get to y to being by itself, divide by 2 on both sides
(2y/2)=(-5x+10)/2
y=(-5x+10)/2----> or -5x/2 + 10/2
y=(-5x/2)+5
Adam can assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours. How long will it
take Maria to do the job alone?
It takes Maria 7.5 hours to assemble a furniture set alone.
Let x represent the amount of time in hours that it takes Maria to assemble a furniture.
Given that it take Adam to assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours, hence:
3 hours (1 / 5hour) + 3 hours (1 / x) = 1
3/5 + 3/x = 1
3/x = 2/5
x = 7.5 hours
It takes Maria 7.5 hours to assemble a furniture set alone.
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Help me out I’m bad at this type of stuff
Answer:
the answer is 3 1/2 hours
Explanation: Just add all the fractions and numbers and subtract that by 9 1/4
i'm in a math test and i need help what is 1 + 1
What is 17x - (217/19) please answer ASAP
Select all polynomials that have (x + 2) as a factor.
Choose all answers that apply:
A A(x) = x^3– 3x^2 – 10x
B B(x)= x^3+ 5x^2 + 4x
C C(x)= x^3 – 2x^2 – 13x – 10
D D(x) = x^3– 6x² + 11x- 6
Answer:
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Step-by-step explanation:
The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
3x+2x-5, for example, is a polynomial.
EXPLANATION
We want to find which of the given polynomials has (x + 2) as a factor.
To do this, we have to equate (x + 2) to 0 and solve for x:
(x + 2) = 0
x = -2
Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Hence, The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
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What Is 2+4? I need to know.
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6! Hope this helps have a great night!!!!
Step-by-step explanation:
May I plz have brainliest?
Can someone help me please
Answer:
y = 119
x = 29
Step-by-step explanation:
The sum of three consecutive even numbers is 66. Find the numbers
Answer:
20, 22, and 24
Step-by-step explanation:
hope this helps. can I also have brainliest please :)
Answer:
BRAINLIEST PLZZ
Step-by-step explanation:
The other 2 numbers are (x + 2) and (x + 4)
Their sum is 66:
x + (x + 2) + (x + 4) = 66
x + x + 2 + x + 4 = 66
3x + 6 = 66
3x = 60
x = 20
2nd number = x + 2 = 20 + 2 = 22
3rd number = x + 4 = 20 + 4 = 24
Answer: The numbers are 20, 22 and 24
please help me is this a function and explain why
Answer:
No.
Step-by-step explanation:
For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function
Answer:Not a function
Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.
Segment RS is an altitude of triangle RTE, the measure of angle SRT=(4x-8) degrees, and the measure of STR=(6x+13) degrees. Find the value of x
9514 1404 393
Answer:
x = 8.5
Step-by-step explanation:
The given angles are complementary, so ...
(4x -8) +(6x +13) = 90
10x +5 = 90 . . . collect terms
10x = 85 . . . subtract 5
x = 8.5 . . . . divide by 10
Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9
Answer:
B
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9x + 7 ( subtract 7 from both sides )
y - 7 = 9x ( divide all terms by 9 )
[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B
what is 0.16 to 4 significant figures?
Answer:
0.1600
Step-by-step explanation:
because it would round to the closest number which is 0.1600
please answer 60 points worth
Answer:
The answer is C
Explanation:
This is because 2(-2) + -2 is smaller than -4
Answer:
THANKS SM
Step-by-step explanation:
can someone help me
Answer:
B
Step-by-step explanation:
Cuz the other would be a straight line
A one year membership at the club costs $10. You pay an additional $1.25 each day you go.
Last year you spent a total of $45. How many days did you go?
Answer:36
Step-by-step explanation:
PLSSS HELPPP ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?
1. −18 meters
2. −9 meters
3. −4.5 meters
4. −22.5 meters
Answer:
I believe its 1. -18 meters
Step-by-step explanation:
first find how many meters the elevator is descending per minute. to do this:
what is 12% of 75?
(75×.12) = 9
the elevator is descending 9 meters per minute.
9×2=18
On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The sun has a radius of about 865,000 kilometers.
Could the Earth’s orbit be a circle with some point in the Sun as its center? Explain your reasoning
Answer:
no
Step-by-step explanation:
yes
zia can make 12 batches of cookies in 6 hours. How long does it take her to make 2 batches of cookies? Show (visual representation) or explain (explanation using academic vocabulary) your reasoning.
Answer:
1hour
Step-by-step explanation:
1 hour because twelve divided by 6 is 2
Can anyone do this question?
Answer:
its simple 5.90
Step-by-step explanation:
Can someone please help me
Answer:
z
Step-by-step explanation:
18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work
Answer:
13.
Step-by-step explanation:
65-52=13
can someone please help :) i suck at math.
Answer:
c) -11 1/2
Step-by-step explanation:
basically, you work backwards using the inverse operation.
start with -7, subtract 5.25 and you get -12.25, then add .75 (3/4) and you get -11.5 or -11 1/2
HELPPP!!!
Question 6 of 10
Which of the following ratios are equivalent to 25%?
Check all that apply.
A. 6:18
B. 5:20
C. 4:20
D. 3:12
E. 8:24
Answer:
5:20 3:12
Step-by-step explanation:
The first number is 1/4 the size of the second number, hence thise being correct.