Answer:
-2
Step-by-step explanation:
Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
Answer:
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative
Twice a certain number minus 7 is equal to 5. What is the number.
Answer:
6
Step-by-step explanation:
Let the number be x.
2x - 7 = 5
Add 7 to both sides.
2x = 5 + 7
2x = 12
Divide 2 into both sides.
x = 12/2
x = 6
The number is 6.
Answer:
6
Step-by-step explanation:
2x-7=5
2x=12
x=6
x=the varible that represents the number
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Which triangle’s unknown side length measures StartRoot 53 EndRoot units?
(A)A right triangle with side length of 6 and hypotenuse of StartRoot 91 EndRoot.
(B)A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10.
(C)A right triangle with side length of StartRoot 19 EndRoot and hypotenuse of StartRoot 34 EndRoot.
(D)A right triangle with side length StartRoot 73 EndRoot and hypotenuse 20.
Answer:
(B) A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10
Step-by-step explanation:
I just took the quiz on edge
Answer:
B
Step-by-step explanation:
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent £20 that day. Obi now had £8 less than Rudy. How much did they have initially altogether?
Answer:
Initially, they have £28 altogether
Step-by-step explanation:
Obi: Rudy=5:2
this means that Obi had 5x and Rudy has 2x in their wallets.
Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy
thus,
2x-(5x-20) =8
2x-5x+20=8
-3x=-12
x=4
obi =5x
=5*4
=20
Rudy =2x
=2*4
=8
This means that initially Obi had £20 and Rudy had £8
Total if Rudy and obi
=£8+£20
=£28
10 people have pink cups. then 5 of those 10 people got red cups and threw the pink cups away. how many people have pink cups?⇒⇒
Answer:
5 people have pink cups
Step-by-step explanation:
10-5=5
:D
Answer:
5
Step-by-step explanation:
10-5=5
^--^
Find the 96th term of the arithmetic sequence -16, -28, -40, ...
Answer:
1124.
Step-by-step explanation:
The common difference (d) is -16 - (-28) = 12, ( also -28 - (-40) = 12).
The nth term of an A.S. is a1 + d(n - 1) where a1 = first term, d=common difference.
so the 96th term of the given A.S. is:
-16 + 12(96 - 1)
= -16 + 12*95
= 1124.
-1156Answer:
Step-by-step explanation:
Which is the scale factor of the dilation?
Answer:
needs more information!
Step-by-step explanation:
need more information
When you multiply a function by -1 what is the effect on its graph?
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
Answer:
c
Step-by-step explanation:
ape x
Find the Y-intercept of the line graph. (Please help!)
Answer:
-2
Step-by-step explanation:
The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.
The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.
Answer: -2
Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.
Notice that the graph shown here hits the y-axis at -2.
So the y-intercept of this graph is -2.
MY LAST QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
Given the diagram below, what statement can you NOT make?
A) m∠2 + m∠3 = 90
B) ∠5=∠3
C) ∠2=∠5
D) m∠4=90
Answer:
B
Step-by-step explanation:
∠ 2 + ∠ 3 = 90° ← True
∠ 5 = ∠ 3 ← False
∠ 2 = ∠ 5 ← True ( vertical angles )
∠ 4 = 90° ← True
Thus the statement that you cannot make is ∠ 5 = ∠ 3 → B
What is the decimal multiplier to decrease by 4.8%?
Answer:
0.952
Step-by-step explanation:
You want to know the multiplier that causes a value to be decreased by 4.8%.
Percentage decreaseA value is said to be "decreased by 4.8%" when 4.8% of the original value is subtracted from the original value:
value - 4.8% × value . . . . . . the meaning of "decreased by 4.8%"
= value × (1 -4.8%) . . . . . . . . . factor out "value"
= value × (1 -0.048) . . . . . . . . . express the percentage as a decimal
= value × 0.952
The decimal multiplier that decreases a value by 4.8% is 0.952.
Write -1/19, 7/4, -4/7 from least to greatest
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?
Answer:
[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]
and it is the special factor product that leads to a difference of squares
Step-by-step explanation:
The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]
is a product of the form:
[tex](a-b)\,(a+b) = a^2-b^2[/tex]
which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex] are the factors of the difference of squares [tex]a^2-b^2[/tex].
In our case, the product:
[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]
Answer:
B
Step-by-step explanation:
Which is the correct rearrangement of the following
formula, making t the subject?
w = vt-6
t = (w - 6)? t = (w + 6)?
t = w2 - 6
t = w2 +6
Answer:
[tex]t = \frac{w + 6}{v} [/tex]
[tex]vt - 6 = w \\ vt = w + 6 \\ \frac{vt}{v} = \frac{w + 6}{v} \\ t = \frac{w + 6}{v} [/tex]
Answer:
t as a subject
Answer:
t = w+6 / v
Can somebody PLEASE help me with this :) ??
Answer:
Ab, De
Step-by-step explanation:
You need the base and the height in order to find out if the triangles are similar
if the perimeter of regular hexagon is 10 cm, what is the radius of the circle curcumscribing the polygon?
Answer:
60
Step-by-step explanation:
hexagon is 6 sided shape. 10 * 6=60
Can I have help plz ASAP
Answer:
A: 4
B: -2
Step-by-step explanation:
calculate dy/dx:
A: 1 to the right and 4 up: gradient is 4/1 = 4
B: 2 to the right and 4 down: gradient is 4/-2 = -2
Select all angle measures for which sin(∅) = - ( (√2) /2)
a) 3π/4
b) 5π/4
c) 7π/4
d) 9π/4
e) 13π/4
I do not understand the steps to take, thank you for any help
Answer:
b) 5π/4
c) 7π/4
e) 13π/4
Step-by-step explanation:
sin θ = -½√2
There's really no algebra to be done here. There are two ways you can solve. One, you can use a calculator. Two, you can memorize your unit circle.
Either way, it helps to draw the unit circle. sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2. This happens at two places: θ = 5π/4 and 7π/4.
Next, we need to check the options that are greater than 2π.
9π/4 is the same as π/4.
13π/4 is the same as 5π/4.
So the three correct answers are 5π/4, 7π/4, and 13π/4.
Answer:
B
C
D
Step-by-step explanation:
Read the following statement: x + 6 = 6 + x. This statement demonstrates:
Answer:
See below.
Step-by-step explanation:
This statement demonstrates the commutative property (of addition). This is because even though the order is switched, the result will remain unchanged and they are equal to each other.
Answer:
Commutative Property of addition
Step-by-step explanation:
This statement demonstrates the commutative property (of addition). means that no. After the order of your calculation, the end result will always be the same.
This is only applicable to addition and multiplication.
Hope this helps
Solve for X
A) 9
B) 16
C) 4
Answer:
B) 16
Step-by-step explanation:
8/x= cos 608/x= 1/2x= 8*2x= 16Answer:
B. 16
Step-by-step explanation:
CAH = Adjacent/Hypotenuse
cos60=8/x
xcos60=8
x= 8/cos60
x=8/0.5
x= 16
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
Pls answer i will mark as branliest
Answer:
Part A:
x = 80 degrees
Part B:
A => Corresponding Angles (They correspond to each other)
Hope This Helps!
Don't hesitate asking anything regarding this!
4x + 16 less than or equal to 18
Answer:
x≤1/2
Step-by-step explanation:
4x+16 ≤18
Subtract 16 from each side
4x+16-16 ≤18-16
4x≤2
Divide by 4
4x/4 ≤2/4
x≤1/2
An automobile jack raises the car 1/2 of an inch for each stroke of the lever. How
many strokes of the lever are needed to lift the car 5 inches?
(do not include the units)
1 inch is two 1/2’s so it takes two strokes to lift the car 1 inch.
2 strokes per inch x 5 inches = 10 total strokes.
The answer is 10
On average,ea rectangular garden ha an area of 144 meter square. During a redesign of the garden center, the dimension of the rectangular garden are altered but the area is unchanged .The width is doubed and length is decreased by 12m.
Answer:
New dimensions are; Width = 12m and Length = 12m
Step-by-step explanation:
Let length of rectangle be L
Let width be W
Area of rectangle has a formula;
Area = Length x Width = LW
We are given the area = 144 m²
So,
LW = 144 - - - (eq1)
Now, we are told that width is doubled and length is decreased by 12m but area remains the same.
Thus, we have;
Width as 2W and Length as L - 12.
Area = 2W(L - 12)
So,
2W(L - 12) = 144 - - - (eq2)
Equating eq 1 and 2,we have;
LW = 2W(L - 12)
W will cancel out to give;
L = 2(L - 12)
L = 2L - 24
2L - L = 24
L = 24m
From equation 1, LW = 144
Thus; W = 144/L = 144/24
W = 6m
So new design of rectangle now has a dimension of;
Width = 2W = 2 × 6 = 12m
Length = L - 12 = 24 - 12 = 12m
So, new dimensions are; Width = 12m and Length = 12m
If you can, please help answer this algebra question. Which terms are true about the given function?
Answer:
third option
Step-by-step explanation:
When x is less than 3, f(x) is negative so the first statement is false. The second statement is also false because the entire function is not positive. The third statement is true because when x is less than 3 f(x) is negative. The fourth statement is false because the entire function is not negative.
Haley’s work evaluating (-2)8 squared is shown below.
Which statement best describe Haley’s first error?
A.She used the wrong number as a repeated factor and should have
B.She used the wrong number as a repeated factor and should have evaluated
C.She misinterpreted the exponential form and should have multiplied –2 and 8.
D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge
Answer:
D
Step-by-step explanation:
she made a sign error when multiplying and should have had 256 as an answer
Answer:
the answer is D
Step-by-step explanation:
I'm taking the test now
What is the length of segment GH?
Answer:
4√5
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Coordinates given:
H(8, 1)
G(0, -3)
d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5
Answer:
StartRoot 80 EndRoot
80 square root is the answer
Step-by-step explanation:
|GH|² = (8 - 0)² + (1 - (-3))²
|GH|² = 64 + 16
|GH|² = 80
GH = sqrt(80)
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Please help me find the answer to this sequence? :)
Answer:
2....6......10........14.......18
Step-by-step explanation:
Add 4 each time
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the length of its radius
Answer:
Half; twice
Step-by-step explanation:
In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".
Thus,
2r = d
r = d/2
For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.
Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius