Answer:
f(x) = 3x - 7
Step-by-step explanation:
Let the independent variable of a function is 'y' and dependent variable 'x'.
Therefore, function will be in the form of y = ax - b
Now statement given in the question states that "The output is 7 more than 3 times the input."
That means y is 7 less than 3 times of x.
y = 3x - 7
Rewrite this equation in the form of a function.
f(x) = 3x - 7
What is the sum of
9
16
and
5
16
Answer:
7/8 step by step
Step-by-step explanation:
9/26 +5/16 = 14/16
simplify
7/8
Determine the mean, median, and mode for the following data sets. Identify any
possible outliers.
10) Count of blueberries in each bulk size container: { 238, 173, 180, 193, 190, 164,
159, 210}
what is the slope of the line represented by the equation y =7 - x?
Answer:
slope = -1
Step-by-step explanation:
When you put the equation into slope-intercept form (y=mx+b), where m is the slope of the line, you can see that -1 is the slope.
The slope of the line represented by the given equation is -1.
Given the following equation:
[tex]y =7 - x[/tex] ...equation 1.To determine the slope of the line represented by the given equation:
Mathematically, the standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex] ....equation 2.
Where:
x and y are the points.m is the slope.b is the intercept.Equating the two equations, we have:
[tex]y = mx+b = 7-x[/tex]
Comparing eqn 1 and eqn 2, we can deduce that the slope is -1.
Read more on slope here: https://brainly.com/question/18123312
Call has 1,850 books.
She must pack them into
boxes to ship to a
bookstore. Each box will
hold 12 books. How
many boxes will she need
to pack all of the boxes?
Regina wants to donate 15% of her paycheck to charity. If she receives a paycheck of $300, how much money will she donate?
Will be giving brainlest
p = 4, a = 5, r = 2, n = 10
Evaluate the algebraic expression a - r.
A.2
B.3
C.5
D.8
Answer:
sorry dont know
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
5-2
=3
................
If a dle is rolled, what is the probability of getting an even number?
P(even number)
note: your answer will be written as a decimal
Answer:
.5 or 50%
Step-by-step explanation:
A die has six sides, have of them are odd and half are even. Therefore the probability of getting an even number is 50% or 0.5.
Work out the size of angle BCD
Answer:
sin62=BD/AB
BD=Sin62×AB
BD=Sin62×15
BD=13.24
ALSO,
Tan C = BD/BC
Tan C = 13.24/24
Tan C = 5.51 / 10
C = Tan^-1 ( 5.51 / 10 )
Answer:
∠BCD = 29°
Step-by-step explanation:
sin 62 = BD/15
0.8829 = BD/15
BD = 13.24
tan ∠BCD = 13.24/24 = 0.5517
∠BCD = 29°
Austin is helping his mom stain their wooden deck shown in the diagram below.
Part A. How many square feet of the deck do Austin and his mom need to stain?
Part B. If a can of stain covers 200 square feet, how many cans of stain will they need to buy to cover the entire deck?
Answer:
Step-by-step explanation:
Part A
Area of the deck = Area of rectangle A + Area of rectangle B
= (12 × 20) + (34 × 8)
= 240 + 272
= 512 square feet
Part B
∵ 200 square feet of the deck is covered by 1 can of stain
∴ 1 square feet of deck will be covered by the can of stain = [tex]\frac{1}{200}[/tex]
∴ 512 square feet will be covered by the stain = [tex]\frac{512}{200}[/tex]
= 2.56
≈ 3
Therefore, 3 cans of stains will cover the entire deck.
which of these expressions will return the same value for PV
Answer:
C
Step-by-step explanation:
Myles is working on his typing. He types for 3 minutes straight and is able to type 150 words. Determine how long it would take for Myles to type 900 words.
(2x-50)
(x+40)
150°
80°
(x+20)
That 80 is not the correct x
Answer: x=120
Step-by-step explanation:
(2x-50)+(x+40)+150+80+(x+20)+90= 720
4x+330= 720
4x=390
x=97.5
help asap
find m∠ABC
Answer:
85
Step-by-step explanation:
simplify the following and write in exponential from
2³x3³
Answer:
6³ because 2³ and 3³ can be multiplied because they are to the same power, and keep the same power. Also, 6³ is 216.
Hope this helps!
Plsss help I have a couple min left plssss
Answer:
here is the answer
Step-by-step explanation:
the first one the slope is 2
the second one the slope is -3
the slope is always the one with the x and the second one without the x is the y axis
Miles got 23 out of 25 questions correct on his test. What percent did he get correct?
Answer: Miles got 92% correct on his test
Step-by-step explanation:
Answer:
92%
Step-by-step explanation:
25=100%
23=? crisco
23×100/25= 92%
What values of x solve x 2 - 4x + 3
Answer:
x=1 and x=3
Step-by-step explanation:
When you factor it you get (x-1) and (x-3) then you subtract the 1 and 3 to the other side which is why the answer is positive.
Answer:
x = 1, x = 3
Step-by-step explanation:
Equate the expression to zero, that is
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
A plane intersects the center of a sphere
with a volume of about 9,202.8 m3. What is
the area of the cross section? Round to the
nearest tenth.
Answer:
530.66
Step-by-step explanation:
The computation of the area of the cross section is shown below
Given that
Volume = 9208 m^3
Now let us assume the radius be r
So volume = 4 ÷ 3 πr^3
9202.8 × 3 ÷ 4π = r^3
27,608.4 ÷ 4 × 3.14 = r^3
27,608.4 ÷ 12.56 = r^3
2,198.12 = r^3
r = 13
Now the area of the cross section is
= πr^2
= 3.14 × (13)^2
= 530.66
12/18 In simplest form
Answer:
Find the gcf, greatest common factor, of 12 and 18 and solve
Step-by-step explanation:
12: 1, 2, 3, 4, 6, 12
18: 1, 2, 3, 6, 9, 18
The gcf is 6, so divide the numerator and denominator by 6.
12 / 6 = 2
18 / 6 = 3
Therefore, 12/18, when relatively prime, is 2/3
Which of the following describes the graph of 2x + 4y < 16?
dashed line, shaded below
solid line, shaded above
solid line, shaded below
dashed line, shaded above
=============================================================
Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
---------------------
Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
what are the steps to getting the answer for 5/3(-6) in math
Answer:
give 2 minutes okkkkkkkkkkkkkkkkkkkkkk
Well...
[tex]\frac{5}{3*(-6)}\\=\frac{5}{-18} \\=-\frac{5}{18}[/tex]
plsplsplsplsplsplspslpslsplspslpslpslsplsplspslsp
Answer:
192
Step-by-step explanation:
Fist you do 4x6x4, then 6x8x2 and add em together and you get 192! :)
Answer:
208 cm
Step-by-step explanation:
Surface Area = 2(wl+hl+hw)
2(6 × 8 + 4 × 8 + 4 × 6)
2(48 + 32 + 24)
2(104) = 2 × 104
= 208 cm
Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = 10x^5 + 8x^4 - 15x^3 +2x^2 - 2
Given:
The function is:
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
To find:
All the possible rational zeros for the given function by using the Rational Zero Theorem.
Solution:
According to the rational root theorem, all the rational roots are of the form [tex]\dfrac{p}{q},q\neq 0[/tex], where p is a factor of constant term and q is a factor of leading coefficient.
We have,
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
Here,
Constant term = -2
Leading coefficient = 10
Factors of -2 are ±1, ±2.
Factors of 10 are ±1, ±2, ±5, ±10.
Using the rational root theorem, all the possible rational roots are:
[tex]x=\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
Therefore, all the possible rational roots of the given function are [tex]\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
Rani deposited AED 12000 for 3 years at the rate of 5 percent per annum. Calculate the simple interest and amount at the end of the 3rd year
Answer:
the principal and the amount is 1,800 and 13,800 respectively
Step-by-step explanation:
The computation of the simple interest and amount for the end of the 3rd year is shown below:
Simple interest is
= Principal × rate of interest × time period
= 12,000 × 5% × 3 years
= 1,800
Now the amount is
= 12,000 + 1,800
= 13,800
hence, the principal and the amount is 1,800 and 13,800 respectively
Find the volume of the following figure. Round to the nearest tenth.
Answer:
A
Step-by-step explanation:
volume of cylinder= πr²h
r= 12cm
h = 19cm
putting the values in the formula
Find the value of x.
Answer:
x = 35°
Step-by-step explanation:
These two angles are alternate angles so they both are equal.
5x - 54 = 3x + 16
5x - 3x = 16 + 54
2x = 70
x = 70 ÷ 2
x = 35°
write the set notation of the following Venn-diagram I will mark him or her as the brainliest answer
Answer:
A intersection B complement
y = -2x + 5
4x + 2y = 10
Please show your work!!!
Answer:
The answer is ( X , - 2x + 5)
if you click the image it will show you how to solve the equation. I hope this helps you :)
what's the answer? I don't get it
- 1/2 X + 3 = 1/4 (X-12)
Answer:
i think x=8
Step-by-step explanation:
Which expression represents the series 1+5+25+125+625
Answer:
Step-by-step explanation: