Answers
Answer:
D
Step-by-step explanation:
Instead of going through each of the table, let's create one ourselves.
So, we have the piecewise function:
[tex]f(x)=-x+8,\text{ if } x<4\\f(x)=x, \text{ if } x\geq 4[/tex]
So, let's create a table of values starting with 2 and skipping the odd numbers until 12.
2:
For 2, since 2 is less than one, plug it into the first equation. Thus:
[tex]f(2)=-(2)+8=6[/tex]
So, the first value is (2,6).
For 4, since 4 is not less than 4 but rather equal to 4, use the second equation. Thus:
[tex]f(4)=(4)=4[/tex]
The second value is (4,4).
For 6, the same thing. 6 is greater than 4 so use the second equation:
[tex]f(6)=(6)=6[/tex]
So the third value is (6,6).
And this pattern will repeat. Therefore, our table of equations is:
x | y
2 | 6
4 | 4
6 | 6
8 | 8
10 | 10
12 | 12
The choice that represents this is D. D is the correct answer.
Related Questions
Answer it answer it answer it
Answers
Answer:
It sooo D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Pls halp due today >_<. Thank you
Answers
Answer:
5√8, 14.025, 40/3, √170
Step-by-step explanation:
Step 1: Evaluate √170
√170 = 13.0384
Step 2: Evaluate 5√8
5√8 = 14.1421
Step 3: Evaluate 40/3
40/3 = 13.333
Step 4: Align greatest to least
14.1421 > 14.025 > 13.333 > 13.0384
Step 5: Revert
5√8, 14.025, 40/3, √170
Describe the transformations from the graph of f(x)=∣x∣ to the graph of r(x)=∣x+2∣− 6.
Answers
Answer:The graph f(x) is shifted 2 units to left and shifted down by 6 units to form the graph r(x) .
Step-by-step explanation:
What is the value of x and how do you know
Answers
Answer:
x=35°
Step-by-step explanation:
So first, recall that the interior angles of a triangle must total 180°.
The sum of the angles for the given triangle can be described by:
[tex]110+x+x\\=2x+110[/tex]
Since the total must equal 180°, set the expression equal to 180°.
[tex]2x+110=180[/tex]
To find the value of x, we just need to solve for x.
To start, subtract 110 from both sides. The 110s on the left cancels:
[tex](2x+110)-110=(180)-110\\2x=70[/tex]
Now, divide both sides by 2. The 2s on the left cancel.
[tex]\frac{(2x)}{2}=\frac{(70)}{2}\\ x=35 \textdegree[/tex]
Therefore, the value of x is 35°.
Step-by-step explanation:
[tex]180 - 110 = 60 - 2 = 30 \\ so \: x = 30[/tex]
Simplify the expression.
-b + 2 + 9b
Answers
Answer:
8b+2
Step-by-step explanation:
Combine Like Terms:
=−b+2+9b
=(−b+9b)+(2)
=8b+2
Which expression is equivalent 4/5 - 1/3?
Answers
Answer:
7/15
Step-by-step explanation:
Well 4/5 - 1/3 = 12 / 15 - 5 / 15 which is equal to 7/15, but there aren't any expressions in your question.
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3 = 12 / 15 - 5 / 15 = 7/15
Simplify the expression below:
2(4x + 5y)
Answers
Answer:
8x + 10y
Hope this helps!
Answer: 8x+10y
Step-by-step explanation: you to distribute the 2 in the parentheses and the you will have 8x+10y but you can't combine uncommon symbols
is -10 a rational number
Answers
Answer: no -10 isn't a rational number
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Is -10 a rational number?
No -10 is not a rational number, because A rational number is, as the name implies, any number that can be expressed as a ratio, or fraction. The number 6 is rational number because it can be expressed as 6/1, though this would be unusual. 4.5 is a rational number, as it can be represented as 9/2.
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
If $-3\le x+5 \le 8$ and $x$ is an integer, what is the sum of all the possible solutions?
Answers
Answer:
-30
Step-by-step explanation:
The integers are the whole numbers and the opposite of the whole numbers.
That is {...,-3,-2,-1,0,1,2,3,...} is the set of integers.
If it is a number you count with or the opposite of a number you count with it or 0, then it is an integer.
So we need to solve the inequality [tex]-3 \le x+5 \le 8[/tex] first, and then just say all the integers included in that compound inequality. Last step is to add since it is asking for the sum of those integers.
Let's do this.
[tex]-3 \le x+5 \le 8[/tex]
Subtract 5 on all sides:
[tex]-3-5 \le x+5-5 \le 8-5[/tex]
Simplify all sides:
[tex]-8 \le x+0 \le 3[/tex]
[tex]-8 \le x \le 3[/tex]
This inequality includes all numbers between -8 and 3, and both include -8 and 3 because of the equal part on both of the inequality parts.
So we have -8,-7,-6,-5,-4,-3,-2,-1,0,1,2, and 3 are the integer solutions of this inequality.
Let's add them. I'm going to put opposites together because I know they will zero out.
So I have this:
-8+-7+-6+-5+-4+-3+-2+-1+0+1+2+3
-8+-7+-6+-5+-4+(-3+3)+(-2+2)+(-1+1)+0
-8+-7+-6+-5+-4+0 +0 +0 +0
-8+-7+-6+-5+-4
-(8+7+6+5+4)
-([8+7]+[6+5]+4)
-([15]+[11]+4)
-(15+11+4)
-([15+11]+4)
-([26]+4)
-(26+4)
-(30)
-30
I don't understand this problem...like how to combine the k terms or how to get the answer.
Answers
Answer:
-6 k +5
Step-by-step explanation:
-2k -4k +5
Think of k is apples
-2 apples -4 apples
-6 apples
-6 k +5
Answer:
Hey there!
It's totally fine if you are having trouble with these kinds of questions, especially if you're new to them.
We can simplify the problem to be -2k-4k+5. Treat k as some number, so we have -6k+5.
Let me know if this helps :)
-7•(-9)
need help on this one with full work including
Answers
Answer:
-7×-9
=63
Step-by-step explanation:
If u multiple - with -, I'll get + sign
Answer:
63
Step-by-step explanation:
-7*(-9)
7*9
63
Best of Luck!
y varies directly as x, y = 20 when x = 10. Determine k
Answers
Answer:
y=kx
20=10k
k=20/10
k=2
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
Answers
Step-by-step explanation:
Because the ratio of length:width is..
15:10 for b
and
30:15 for c.
Now we will divide..
3:2 for b
and
2:1 for c.
Those are NOT the same things!
If p = the mountain bike's original price in dollars, which algebraic expression
represents the reduced price?
O A. p-125
B. 125+ p
C. 125p
D. 125 - P
Answers
Answer:
A
Step-by-step explanation:
125 is the amount of discount, so for example if p was 500 and discounted by 125 (p-125), you'd get 375(example of reduced price).
A set of points forming a closed figure, every point of which is a fixed distance from a given center best defines which shape? *
Rectangle
Square
Rhombus
Circle
Answers
Answer: circle
Step-by-step explanation:
because each point is the same from the center
please someone help me..!!!!
Answers
Answer: see proof below
Step-by-step explanation:
Use the Triple Angle Identity: sin 3A = 3sinA - 4sin³A
[tex]\text{Given:}\quad \sin\bigg(\dfrac{\theta}{3}\bigg)=\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)[/tex]
Proof LHS → RHS
LHS: sin Ф
Let A = Ф/3 sin 3A
Triple Angle Identity: 3sinA - 4sin³A
Substitute Ф/3 = A: 3sin(Ф/3) - 4sin³(Ф/3)
Substitute sin(Ф/3): [tex]3\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)-4\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)^3[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{3m}{2}+\dfrac{3}{2m}-4\bigg(\dfrac{1}{8}\bigg(m^3+3m+\dfrac{3}{m}+\dfrac{1}{m^3}\bigg)\bigg)\\\\.\qquad \qquad \qquad =\dfrac{3m}{2}+\dfrac{3}{2m}-\dfrac{m^3}{2}-\dfrac{3m}{2}-\dfrac{3}{2m}-\dfrac{1}{2m^3}\\\\.\qquad \qquad \qquad =-\dfrac{m^3}{2}-\dfrac{1}{2m^3}\\\\\text{Factor:}\qquad \qquad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)[/tex]
[tex]\text{LHS = RHS:}\quad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)=-\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)\quad \checkmark\\[/tex]
Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12
Answers
Answer:
A. 6 to the Second Power.
Step-by-step explanation:
Hope it Helped!
Help please!! Will mark as brainlist only with an explanation
Answers
Answer:
F: 48
Step-by-step explanation:
Let x be the length of the side of the cube. RQ can be expressed as a triangle consisting of a diagonal of a face of the cube and the side length x. By the pythagorean theorem, we know that a^2+b^2=c^2. So, we can express the diagonal as x^2+x^2=c^2, giving us the value of c to be [tex]x\sqrt{2}[/tex]. Now, we can once again use the pythagorean theorem to find RQ^2=2x^2+x^2=3x^2, so RQ=[tex]x\sqrt{3}[/tex]=12, so x=[tex]4\sqrt{3}[/tex]. To find the area of the shaded part, we multiply the length times width which gives us [tex](4\sqrt{3})^2=48[/tex]. So, the area of the shaded face of the cube is F: 48.
Write the number name and expanded form for the number of driver ants that could be in two colonies. Up to 22,000,000 driver of ants can live in a single colony
Answers
Answer: number name = 22 million
Expanded form: 22,000,000 = 20,000,000+2,000,000
Step-by-step explanation:
To write the number name and expanded form for the number of driver ants that could be in two colonies.
Given: Up to 22,000,000 driver of ants can live in a single colony
Since 1, 000, 000 =1 million
So 22,000,000= 22 million
Expanded form: 22,000,000 = 20,000,000+2,000,000
Hence, number name = 22 million
Expanded form: 22,000,000 = 20,000,000+2,000,000
Two positive consecutive numbers are represented by x and x+1. If four is added to the first
number and two is subtracted from the second number, the quotient of the new numbers is 11/16
Determine the numbers algebraically.
PLEASE HELP ASAP(it’s due tmw)
- thank you in advance :)
Answers
Answer:
x+4
x+1-2=x-1
Step-by-step explanation:
x+4/x-1=11/16 x should be different than 1 cz 1-1=0
16(x+4)=11(x-1)
16x+64=11x-11
16x-11x=-11-64
5x=-75
x=-15
ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
will be marked as brainliest:)
Answers
Answer: see proof below
Step-by-step explanation:
Proof LHS → RHS
[tex]\dfrac{1}{3-2\sqrt2}-\dfrac{1}{2\sqrt2-7}+\dfrac{1}{\sqrt7-\sqrt6}-\dfrac{1}{\sqrt6-\sqrt5}+\dfrac{1}{\sqrt5-2}\\\\\\\text{Rationalize the denominator (multiply by same numbers but opposite sign)}\\\dfrac{3+2\sqrt2}{1}-\dfrac{2\sqrt2+7}{1}+\dfrac{\sqrt7+\sqrt6}{1}+\dfrac{\sqrt6+\sqrt5}{1}+\dfrac{\sqrt5+2}{1}\\\\\\\text{Group like terms:}\\3+(2\sqrt2-2\sqrt2)+(-\sqrt7+\sqrt7)+(\sqrt6-\sqrt6)+(-\sqrt5+\sqrt5)+2\\\\\\\text{Simplify:}\\3 + 0+0+0+0+2 \\= 5[/tex]
LHS = RHS: 5 = 5 [tex]\checkmark[/tex]
zoey inflates 24 balloons for decorations at the middle school dance. if zoey inflated 15% of the total number of balloons for the dance, how many balloons are there total?
Answers
Answer:
160
Step-by-step explanation:
Divide 24 by 15 percent (.15)
24/.15
=160
Answer:
160
Step-by-step explanation:
from the question, we know that 24 balloons are 15% of total.
make equation:
[tex]\frac{15}{100} =\frac{24}{x}[/tex]
calculate:
100*24/15=160 balloons
Factor the expression x^2+6x+5
Answers
Answer:
(x + 5)(x + 1)
Step-by-step explanation:
First, notice that because this is a trinomial (has three terms separated by some operation), we will use a basic factoring technique.
The parent function for a quadratic is ax²+bx+c=0.
Therefore, the factoring technique is to see what factors of C add up to give you B.
Factors of 5 are 5 and 1, and 5 + 1 = 6.
So, therefore, your factors are (x + 5) (x + 1).
Performing the FOIL function on this gives you x² + 1x + 5x + 5. Simplify by adding like terms and your final answer is x² + 6x + 5.
{ (-2, 4), (0, 2), (-1, 3), (4, -2) } The set of ordered pairs above: A mapping diagram has 2 boxes. Box 1 is labeled domain with entries negative 3, 4, negative 1, 5. Box 2 is labeled range with entries 3, 7, negative 2. Arrows show which domain value match onto which range value. An arrow goes from negative 3 to 3, 4 to 7, and arrows go from both negative 1 and 5 to negative 2. The mapping diagram above:
Answers
Answer:
Function
Step-by-step explanation:
Answer:
A - Both answers are functions
Step-by-step explanation:
The relationship between the number of hours a person practices a task and the time it takes them to complete the task is calculated to have R-sq = 56.7%. The value of the correlation coefficient is
Answers
Answer: 0.753.
Step-by-step explanation:
The value of the correlation coefficient is denoted by 'r'. It is used to describe the strength and direction of the relationship between two variables.
Given: The relationship between the number of hours a person practices a task and the time it takes them to complete the task is calculated to have R-sq = 56.7%.
= 0.567
Then, [tex]r=\sqrt{R^2}[/tex]
[tex]=\sqrt{0.567}\approx0.753[/tex]
Hence, the value of the correlation coefficient is 0.753.
Given the area, find the dimension of a rectangle
The width of a rectangle is 30 feet less than twice its length. its area is 68 square feet. Find the dimensions of the rectangle.
Answers
Answer:
Length=17
Width=4
Step-by-step explanation:
Length=x
Width=2x-30
x(2x-30)=68
2x²-30x=68
2x²-30x-68=0
2(x²-15x-34)=0
2(x+2)(x-17)=0
So x equals either 17 or -2. Since it can’t be -2, x=17
Length=x=17
Width=2x-30=2*17-30=34-30=4
Answer:
Length L = 17 ft.
Width W = 4 ft
Step-by-step explanation:
Area of a rectangle = L * W
Area = 68 ft²
W = 2L - 30
Area = L * W
68 = L * (2L - 30)
68 = 2L² - 30L
2L² - 30L -68 = 0 ( solve L by using quadratic equation)
-(-30) ± √ -30² - 4 * 2 * (-68)
L = -------------------------------------------
2 * 2
L = 17 ; L= - 2 therefore use L = 17 ft.
solve for W:
W = 2L - 30
W = 2(17) - 30
W = 34 - 30
W = 4 ft
check:
Area = L * W
68 = 17 * 4
68 = 68 ----- OK
Choose the correct expressions using the fewest number of bases possible that are equivalent to the current expression. Select All that apply. (Note: There are 2 correct choices) Question 4 options: 23−13 210 213−3 2−10
Answers
The rule we use here is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)
We subtract the exponents when dividing exponentials like this. The bases must be the same.
So this means the exponents 13 and 3 subtract to get 13-3 = 10
We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.
Chloe George
If m_ABD = 83° and m_ABC = (x + 10) ° and mZDBC = (4x - 12), what is the measure of each angle?
Answers
Answer:
ABC = 27
DBC = 56
Step-by-step explanation:
ABC + CBD = ABD
x+10 + 4x-12 = 83
Combine like terms
5x -2 = 83
Add 2 to each side
5x-2+2 = 83+2
5x = 85
Divide each side by 5
5x/5 = 85/5
x =17
ABC = x+10 = 17+10 = 27
DBC = 4x-12 = 4*17 -12 = 68-12 = 56
Answer:
Angle ABC = 27°
Angle DBC = 56°
Step-by-step explanation:
So we have to set an equation first.
x + 10 + 4x - 12 = 83
This simplified = 5x - 2 = 83
--> 5x = 85
so x = 17
Plug it in to the formula for ABC and DBC
ABC = x + 10
17 + 10 = 27
ABC = 27
DBC = 4x - 12
68 - 12
DBC = 56
Thus, we have our 2 answers.
Hope this helps!
find the area of square of one of its side is (3x+4y)cm.If x=4 and y=1,find its actual area.
Answers
Answer:
Step-by-step explanation:
hello :
the area is : (3x+4y)²cm² when :x=4 and y=1, the area is : (3(4)+4(1))²cm² =16²cm2=256cm²
area is calculated by:
Answers
Answer:
multiplying the length and the width.
Step-by-step explanation:
To find the area of a rectangle, multiply its height by its width.
For a square you only need to find the length of one of the sides then multiply this by itself to find the area.