Answer:
f(4) = 3×4 - 15
f(4) = 12-15 = -3
Answer : D. -3
...........
Answer:
D.-3
Step-by-step explanation:
f(4)=3•4-15
=12-15
=-3
The length of a rectangle is 2x + 4 and the width is x + 8. If the perimeter of the rectangle is 96, use the value of x to find the length and width of the rectangle.
Hey there! I'm happy to help!
The formula for the perimeter of a rectangle is 2L+2W=P where W is the width and L is the length. This is because we have our two sides that are lengths and our two sides that are widths (different values) and we add them together to see what the distance around the whole rectangle is.
So, let's insert these values into the equation.
2(2x+4)+2(x+8)=96
We use the distributive property to remove the parentheses (which is us multiplying our equations for length and width by two).
4x+8+2x+16=96
We combine the like terms.
6x+24=96
We subtract 24 from both sides.
6x=72
Divide both sides by 6.
x=12
Now that we have our value of x, we can plug it into our length and width equations to find those values.
LENGTH:
2x+4
2(12)+4
24+4
28
WIDTH:
x+8
12+8
20
So, our length is 28 and our width is 20.
Have a wonderful rest of your day and keep on learning! :D
What are the coordinates of A' after a 180 degree rotation about (-5, 3)?
Answer: (5,3)
Step-by-step explanation:
A 180 degree rotation will take you to sector b which is (+,+), so I knew it was going to be positive.
2 Jessica re the same number of books each month. Write an expression to represent
the number of books Jessica reads in 2 years.
Answer:
The answer is Jessica reads 24b books in 2 years where b is the number of books she reads each month.
Step-by-step explanation:
First, decide on your variable. You don't know how many books Jessica reads each month, but you know every month it is the same.
Let b equal the number of books Jessica reads each month.
Next, write a variable expression using b. In one month Jessica reads b books. In 2 months Jessica reads 2b books. The question asks for an expression that represents the total number of books Jessica reads in 2 years. There are 12 months in a year so there are 24 months in 2 years. So your expression is
24b
Which choice is equivalent to the product below when x > 0?
Square root of 2/x time square root of x^2/8
Answer:
A.
[tex] \sqrt{x } \div 2[/tex]
is the answer
The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].
What is expression?Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.
The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]
Calculating the expression we get,
[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]
So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].
Hence the correct option is (A).
Learn more about Expression here -
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COULD A KIND SOUL PLEASE PLEASE PLEASE HELP ME???!!!!!!!!!!!
triangle RST is reflected across the line y = x to form triangle R’S’T’. Find the coordinates of the points R’, S’ and T’.
show how you go the answer so I can see if it makes sense!!!
Answer:
R=(-1,2), T=(-7,4) S=(-2,8)
Step-by-step explanation:
The line y=x is a diagonal line veering to the left, since I can't draw it I'll give you a link on an actual digram of a triangle getting reflect across y=x. But, I just like to do this, if for example Q=(10,-3), I just exhange the negative sign to the left, so it would equal Q"=(-10,3) (Q" means the new modified Q).
The link thingy=https://www.quora.com/What-does-it-mean-to-reflect-over-the-y-x-line
Hopes this helps (:
Solve for x: 4 - (x + 2) < -3 ( x + 4)
(9th grade algebra 1)
Answer:
[tex]x < -7[/tex]
Step-by-step explanation:
[tex]4 - (x+2) <-3(x+4)\\\\4 - x -2 < -3x -12\\2 -x < -3x-12\\-x < -3x-14\\2x < -14\\x < -7[/tex]
Ari lives 4/5 of a mile from the park she has already walked 3/4 of the way to the park. How far has ari walked
what expression is equivalent to (1/16)^-4
16^4 Hope this helps.
Answer:
16 ⁴
Step-by-step explanation:
use a -n= (1/a)n
(1/16 - ⁴= ( 16/ 1 )
=16 ⁴
Given g(x) = -5x + 5, solve for 2 when g(x) = 0.
Answer:
Step-by-step explanation:
g(x) = 0
0=-5x+5
5x=5
x=1
Answer:
x = 5
Step-by-step explanation:
given:
[tex]g(x) = -5x + 5[/tex]
solve for x, when:
[tex]g(x) = 0[/tex]
replace x with 0
~~~~~~~~~~~~
➡️ [tex] x = -5(0) + 5 [/tex]
➡️ [tex] x = 0 + 5[/tex]
➡️ [tex]x = 5 [/tex]
what is the answer to this equation. x-8/3=3
Answer:
x − 1 ⋅ 8 /3 = 3
Solve
Step-by-step explanation:
Multiply the numbers
x−1⋅3/8=3
x - 3/8 = 3
Add 8 /3 to both sides of the equation
− 8 /3 = 3
x−3/8=3+ 8/ 3 = 3
Simplify
Solution
= 1 7/ 3
there you go hope this helpedHow many 10- digit number are restricted in the Atlanta area
Answer:
320,400
Step-by-step explanation:
80,100 restricted numbers x 4 area codes
(b) True or False?
Statement
True False
Х
Some rational numbers are not whole numbers.
o
Some irrational numbers are integers.
All integers are rational numbers.
o
No irrational numbers are whole numbers.
o
Answer:
I put the answers in order.
True
False
True
False
(Hope this helped☺️! )
Hunter is going to graph the ordered pairs that are represented by this table on a coordinate plane.
x
–7
–3
0
1
5
9
y
4
0
2
6
0
–2
In Hunter’s graph, how many points should lie on the y-axis?
0
1
2
3
Answer:
one
Step-by-step explanation:
Any point where x = 0 will fall on the y axis. The y values do not matter for this question.
Answer:
1
Step-by-step explanation:
Where would 7 be located on the number line below
Answer:
we can check the position of √7 is btw p and q
because square of 2 is 4 while square of 6 is 36
and 7 lies btw 4 and 36 therefore √7 lies btw p and Q
Answer:
OPTION C BETWEEN P AND Q
As 7 is equals to 2.78approx.
Step-by-step explanation:
..
In the similarity
transformation of AACB
to AEFD, AACB was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ].
HELP HELP HELO NOW NOW PLEASE ILL GIVE BRAINLEISTETWBEBEJHEUEJ
Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
What is graph transformation?
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.
Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.
Since the triangle ABC and DEF is similar
So we can write,
DE/BC=EF/AB=FD/CA
scale factor =Length of CA/length of DF
=6/3
=2:1
Reflected at y axis i.e x=0
and raised by 2 units.
Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
Learn more about graph transformation,
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The period of a compound pendulum is given by T=2π√(h²+k²/gh) express k in terms of T,h and g
Answer:
qss-qvcj-kwr join guys iam bored
HELP PLEASE ITS DUE TONIGHT “Find the measure of angle B”
Answer:
43°
im sure the answer is correct
Answer:
m∠b = 43°
Step-by-step explanation:
The image shown shows vertical angles. By the definition of vertical angles, quote:
"Angles opposite of each other when two lines cross are always equal", therefore, if one of the vertical angles is 43°, that implies that m∠b = 43°, by definition of vertical angles.
~
If the linear function is f(x) = 3x + 10, then the value of 3 could represent:
O The initial investment.
O The starting point.
O None of these choices are correct.
O The average change.
O The line of reflection.
Answer:
3 is the gradient ryt?
Step-by-step explanation:
so Ummm C?
Interpret the following exponential function:
y = 6 (1.07) Superscript x
What is the growth/decay factor? What is the y-intercept?
a.
Decay factor is 6; y-intercept is 1.07
b.
Decay factor is 1.07; y-intercept is 6
c.
Growth factor is 6; y-intercept is 1.07
d.
Growth factor is 1.07; y-intercept is 6
Answer:
d. Growth factor is [tex]1.07^{x}[/tex] ; y-intercept is 6
Step-by-step explanation:
I. When y = 6([tex]1.07^{x}[/tex])
If growth factor means
y.value will increase if x.value is increase
Prove Given x = 1, 2
y = 6(1.07)^1
= 6.42
y = 6(1.07)^2
= 6.866
That makes 1.07 is growth factor
a solid sphere is cut into 3 equal wedges. the volume of each wedge is V=4/9π^3. solve the formula for r
[tex]\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3[/tex]
It is one third of the solid. sphere[tex]\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3[/tex]
Now
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]
Step-by-step explanation:
hmmm.
the other answer says the volume of a wedge is
4/9 × pi×r³
but I read here only
4/9 × pi³
so, what is correct ?
if I assume my reading is correct, then the solution is actually
4/9 × pi×r³ = 4/9 × pi³
pi×r³ = pi³
r³ = pi²
[tex]r = \sqrt[3]{ {\pi}^{2} } [/tex]
and that would mean
r ≈ 2.145
URGENTTTT PLS PLS PLS PIFHCHIDFCHI. How do you write 5x^2-14-3x2 in standard form?
Find the unknown sizes of the angled.
Step-by-step explanation:
c = 65(being vertically opposite angle)
a + 65 = 180 (being linear pair)
so, a = 115
b = a(being vertically opposite angle)
so, b = 115
Answer:
[tex]thank \: you[/tex]
1. a number raised to the second power
2. (of some number N) is the number which, when squared, gives you N
3. the superscript number in an exponential expression; tells how many times a factor is repeated
4. (of some number N) is the number which, when cubed, gives you N
5. a number raised to the third power
6. the value of a base and exponent
Squared
Exponent
Cubed
Power
Cube root
Square root
Answer:
1 - squared
2- square root
3-exponent
4-cubed root
5-cubed
6-power
If g( 2x + 1) = 4x-3 then find f(x) and f(-2).
Answer:
Dont know if this is correct but:
f(x) = 4x-3
f(-2) = 4(-2)-3
f(-2) = -11
Step-by-step explanation:
Please someone help I’m stuck with this question please help and show work please
Answer:
I would think A.
Step-by-step explanation:
Let me explain real quick. A basically states the possible weights, or the y of the function, which include serving size and full bag. B is full numbers which cannot be used in a bag. C and D look like they would he in a perfect form however they are not showing the possible weights for both serving and bag.
Consider the equation:
f(x) = -3x - 6
What is the ordered pair for x = 3?
(-3, 3)
(3, -3)
(-15, 3)
(3, -15)
Answer:
the last one
Step-by-step explanation:
How is proportional reasoning used to interpret distances on maps?
Answer:
It shows how a dimension in a scale drawing is related to the actual object. A map is a scale drawing. The measurements on a map are in proportion to the actual distances. If 1 inch on a map equals an actual distance of 2 miles, the scale is 1 inch = 2 miles
hope it helped!
The difference of F and 5 times G is the same as 25 minus f
Step-by-step explanation:
(5×G)-F=25-F
I hope it helped U
stay safe stay happy
You are going to have a swimming pool put your back yard this summer. The dimensions of the pool are going to be 15 ft by 30 ft. There is going to be a concrete walkway around the outside of the pool, but they are not sure how wide it will be. The design of the pool, including the walkway, is shown below.
The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x
Given that:
[tex]Length = 15[/tex]
[tex]Width = 30[/tex]
Let the width of the walkway be x.
The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):
So, we have:
[tex]Length = 15 + x + x[/tex]
[tex]Length = 15 + 2x[/tex]
[tex]Width = 30 + x + x[/tex]
[tex]Width = 30 + 2x[/tex]
The perimeter (P) of the walkway is then calculated using:
[tex]P = 2 \times (Length + Width)[/tex]
This gives:
[tex]P = 2 \times (15 + 2x + 30 + 2x)[/tex]
Collect like terms
[tex]P = 2 \times (15 + 30+ 2x + 2x)[/tex]
[tex]P = 2 \times (45+ 4x)[/tex]
Open brackets
[tex]P = 2 \times 45+ 2 \times 4x[/tex]
[tex]P = 90+ 8x[/tex]
Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)
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find the product of
[tex]63 \times 0 \times ( - 7)[/tex]
Answer:
0
Step-by-step explanation:
63 * 0 is 0. 0 * (-7) is also 0.
Anything multiplied by 0 is 0, no matter how big the number is, or how many numbers there are.
Hope this helps :)