Fill in the table using this function rule
y=5+4x
please help like u don’t know how many times I’ve posted this :,)
Answers
Plug in the values of x and solve for y:-
y=5+4x
y=5+4(4)
y=5+16
y=21
________________________________
y=5+4x
y=5+5(5)
y=5+20
y=25
_________________________________
y=5+4x
y=5+4(8)
y=5+32
y=37
___________________________________
y=5+4x
y=5+4(10)
y=5+40
y=45
__________________________________
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
see explanation
Step-by-step explanation:
substitute the values of x from the table into the rule and evaluate for y
x = 4 → y = 5 + 4(4) = 5 + 16 = 21
x = 5 → y = 5 + 4(5) = 5 + 20 = 25
x = 8 → y = 5 + 4(8) = 5 + 32 = 37
x = 10 → y = 5 + 4(10) = 5 + 40 = 45
then
x y
--------
4 21
5 27
8 37
10 45
Related Questions
Factored form;
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
Answers
The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function
The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
How to determine the factored form?The expression is given as:
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
Express as difference of two squares
f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)
Expand
f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)
Factorize the expression
f(x) = (x - 2)(x + 2)(x(x + 1) + 3(x + 1))
Factor out x + 1
f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
Read more about factored expressions at:
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PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE
Answers
Answer:
7
Step-by-step explanation:
As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.
7 being your answer.
Answer:
7Step-by-step explanation:
Given the recursive formula.
[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]Use it to determine the value of te third term.
[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]A bond issued by ford on may 15, 1997 is scheduled to mature on may 15, 2097. if today is november 16, 2020, what is this bond's time to maturity?
Answers
The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.
What is the time to maturity?The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.
Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months
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Someone please help me I'm desperate. I'll also mark brainliest
#1 The area of the composite figure is...
#2 The area of the composite figure is...
#3 The area of the shaded figure is...
Answers
I am not sure but according to my calculation answer of no.1 may be 67. And I am in 8 grade so I couldn't solve others. So sorry !!
1. Find the unknown length of the side labeled x.
Answers
Answer:
Step-by-step explanation:
Data can be classified as categorical or
numerical. Which question would be classified as
numerical?
A. Which grade are you in?
B. What is your zip code?
C. Who is your favorite artist?
D. How many texts did you send this week?
Answers
Answer:
D
Step-by-step explanation:
A football is thrown from the top of the stands, 50 feet above the ground at an initial velocity of 62 ft/sec and at an angle of elevation of 45 degrees.
a.) Write a set of parametric equations that model the football's horizontal and vertical movement.
b.) The football reaches its maximum height at t=1.37 seconds. Using your parametric equations from part "a", determine the location of the football at its maximum height relative to the starting point.
Answers
a. i. The parametric equation for the horizontal movement is x = 43.84t
ii. The parametric equation for the vertical movement is y = 50 + 43.84t
b. the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
a. Parametric equationsA parametric equation is an equation that defines a set of quantities a functions of one or more independent variables called parameters.
i. Parametric equation for the horizontal movementThe parametric equation for the horizontal movement is x = 43.84t
Since
the angle of elevation is Ф = 45° and the initial velocity, v = 62 ft/s,the horizontal component of the velocity is v' = vcosФ.
So, the horizontal distance the football moves in time, t is x = vcosФt
= vtcosФ
= 62tcos45°
= 62t × 0.7071
= 43.84t
So, the parametric equation for the horizontal movement is x = 43.84t
ii Parametric equation for the vertical movementThe parametric equation for the vertical movement is y = 50 + 43.84t
Also, since
the angle of elevation is Ф = 45° and the initial velocity, v = 62 ft/s,the vertical component of the velocity is v" = vsinФ.
Since the football is initially at a height of h = 50 feet, the vertical distance the football moves in time, t relative to the ground is y = 50 + vsinФt
= 50 + vtcosФ
= 50 + 62tsin45°
= 50 + 62t × 0.7071
= 50 + 43.84t
b. Location of football at maximum height relative to starting pointThe location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
Since the football reaches maximum height at t = 1.37 s
The x coordinate of its location at maximum height is gotten by substituting t = 1.37 into x = 48.84t
So, x = 43.84t
x = 43.84 × 1.37
x = 60.0608
x ≅ 60.1 ft
The y coordinate of the football's location at maximum height relative to the ground is y = 50 + 48.84t
The y coordinate of the football's location at maximum height relative to the starting point is y - 50 = 48.84t
So, y - 50 = 48.84t
y - 50 = 43.84 × 1.37
y - 50 = 60.0608
y - 50 ≅ 60.1 ft
So, the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
Learn ore about parametric equations here:
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Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.
Answers
Answer:
Slope Intercept Form: y=3x-10
Step-by-step explanation:
First, we need to solve the slope.
The formula: y2-y1/x2-x1 = m
Coordinate Points:
(2, -4) ; (4,2)
Do 2 - (-4) for the y's and 4-2 for the x's
Formula: 2-(-4)/4-2
2 - (-4) is a positive answer since the negatives cancel to a positive.
That shall be 6.
4-2 = 2
Now we have 6/2 which means 6 divided by 2 which is 3.
Our slope is 3.
Slope-Intercept Formula: y=mx+b
Our "m" is 3
y = 3x + b
Our b which is the y-intercept is undefined.
We need to plug one of the coordinates into the formula to find it.
Plug (2,-4) into the formula.
-4 = 3(2) +b
Do 3 x 2 first
-4 = 6 + b
Now subtract 6 on both sides
-6-4 = b
Our y-intercept is -10 because negative subtracted by negatives is an addition number followed by the greater number's sign.
Formula: y=3x-10
Answer:
y = 3x - 10
Step-by-step explanation:
To determine the line that passes through the points (2, -4) and (4, 2), we need to determine the slope of the line. Then, using the slope of the line and any point, we can determine the equation of the line using point slope form.
How to determine the slope of the line?
The slope of the line can be determined by using the formula (y₂ - y₁)/(x₂ - x₁), where x₂ and y₂ are the coordinates of the second point; x₁ and y₁ are the coordinates of the first point.
Determining the slope of the line:[tex]\implies\large\text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
In this case, our first point and second point are (2, -4) and (4, 2) repectively as stated in the question. Therefore,
Point₁ = (x₁, y₁) = (2, -4) ⇒ x₁ = 2 y₁ = -4Point₂ = (x₂, y₂) = (4, 2) ⇒ x₂ = 4 y₂ = 2When we substitute the following into the formula, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 }[/tex]
When we perform subtraction, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 } = \dfrac{2 + 4}{2 } = \dfrac{6}{2}[/tex]
Which when simplified, we get;
[tex]\implies\large\text{Slope} = \dfrac{6}{2} = 3[/tex]
Determining the equation of the line:As said above, to determine the equation of the line with the slope and a point given, we can use point slope form. The chosen point must be on the line. The question states that "the line that passes through the points (2,-4) and (4, 2)". Therefore, we can tell that (2,-4) and (4, 2) are points that are on the line. Let's choose (4, 2) as our chosen point.
Chosen point: (4, 2)Now, let's substitute the slope of the line and the coordinates of the chosen point in the point slope form equation.
⇒ Point slope form: y - y₁ = m(x - x₁)⇒ Point slope form: y - 2 = 3(x - 4)Finally, let's simplify the point slope equation and convert it into slope intercept form (as stated in question).
⇒ Point slope form: y - 2 = 3x - 12The slope intercept form states that;
Slope intercept form: y = (m)x + (b)We can see that the "y" variable is isolated on one side of the equation [y = (m)x + (b), Slope intercept form equation]. Thus, we need to isolate the y-variable in y - 2 = 3x - 12 to obtain our equation in slope intercept form. This can be done by adding 2 to both sides of the equation.
⇒ y - 2 + 2 = 3x - 12 + 2⇒ y = 3x - 10Therefore, the equation in slope intercept form is y = 3x - 10.
Please Help Me ASAP.
Answers
Answer:
x > -10
Step-by-step explanation:
5 - 3x > 35
-5 -5
-3x > 30
[tex]\frac{-3x > 30}{-3}[/tex]= x > -10
How do you find the volume of a cube?
Answers
Answer:
V = s³
Step-by-step explanation:
You multiply all sides together (L×W×H)
50 POINTS FOR QUESTION 24 thank u!!
Answers
Answer:
Each instalment = £27.45
Step-by-step explanation:
Given:
Price of work trolley = £59.90Deposit = £5Remaining balance to be paid = Price of work trolley - deposit
= £59.90 - £5
= £54.90
If the remaining balance is to be paid in 2 instalments:
Cost of each instalment = remaining balance ÷ 2
= £54.90 ÷ 2
= £27.45
someone help me please
Answers
Answer:
b
Step-by-step explanation:
the x has been cubed meaning
X * X *X = x^3
X^3 has been added to 5
C is saying they multiplied three to x therefore being
B
A triangular garden has it sides 45m,40m and 50m . Then, find the cost of fencing it's boundary at the rate of Rs.60 per meter.
Answers
we should find perimeter.
45+40+50=135m.
then, we should multiply 135 and rate of per meter.
135×60=8100Rs.
I need the answer to this please
Answers
Answer: the answer is D, if you just graph it in the Desmos graphing calculator you can solve it easily
-2 1/5 (10x - 4.4) - 0.32
Answers
I think !!
awarding 4 out of 50 minions a place in a dancing
competition.
solve:
Answers
The combination shows that the number of ways to select 4 out of the 50 minions will be 230300.
How to solve the combination?From the information given, it can be noted that this involves a combination rather than permutation.
In this case, the number of ways to select 4 out of the 50 minions will be:
= 50! / (50-4)!4!
= 230300
Learn more about combinations on:
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Unit 6: Radical Functions
Homework 3: Add/Subtract/Multiply Radicals
Show your work!
4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]
5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]
6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]
7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]
Answers
Answer:
See below ↓↓↓↓
Step-by-step explanation:
4.
[5∛32x³y⁴] - [3xy³√4y][5*2*x*y ∛4y] - [3xy³*2 √y]10xy∛4y - 6xy³√y2xy [5∛4y - 3y²√y]5.
15√2 * -2√20-30√40-30*2√10-60√106.
4³√-9 * 7³√484³*3√-1 * 7³*4√3263424√-3263424i√3 [i is the complex number for √-1]7.
[tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]30√72w¹⁶30*6*w⁸√2180w⁸√2math sceenshot answer math problem
Answers
Answer:
the total amount owed for the car is $7500
Step-by-step explanation:
5% of $6000 is ($6000×5)÷100= $300
so $300×5= $1500
now the 5 yrs interest auditioned to the $6000 loan equals $7500.
($300×5)+$6000= $7500
Need help ASAP!! Will give brainliest!
Answers
Answer:
Answer for 1
B and D
Answer for 2
is D 54,811 x 2/4
Step-by-step explanation:
Which ones are greater?
-9 ? 2
-1 ? -3
3 ? -7
-8 ? -4
Answers
Answer:
-9<2
-1>-3
3>-7
-8<-4
Explanation:
< = less than
> = more than
Answer:
2 -1 3 -4 and its always positive if you do the negitives it would be the lowst
What is the length of the hypotenuse in the right
triangle?
O 2,593 cm
O 60 cm
14,225 cm
O 65 cm
Answers
Answer:
sqrt(2593)
Step-by-step explanation:
17^2+48^2 = 2593^2
Given that you have a pentagon. What would be the measure of the sum of the exterior angles?
Answers
Answer:
360°
Step-by-step explanation:
the sum of the exterior angles of any polygon = 360°
Tayshawn is going to spend 35% of his money on a gift for his mother. If the gift costs $42 how much money does Tayshawn have
6th grade
Answers
well, he has "x", which oddly enough is 100%, and we also know that 42 is 35% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 42& 35 \end{array} \implies \cfrac{x}{42}=\cfrac{100}{35}\implies \cfrac{x}{42}=\cfrac{20}{7} \\\\\\ 7x=840\implies x=\cfrac{840}{7}\implies x=120[/tex]
How do you find the sector area of a circle?
Answers
Answer:
where's question.....
Complete the net worth statement by determining the total assets and total liabilities.What is the net worth? A 178,000 B 180,338 C 1,052,662 D 1,233,000
Answers
The total liabilities is $180,338
The total assets is $1,233,000
The net worth is $1,052,662
What is the net worth, assets and liabilities?Net worth is total assets less liabilities. Assets is the sum of liquid assets and non liquid assets. Liabilities is the sum of car loan and mortgage loan.
Assets = 178,000 + 1,055,000 = $1,233,000
Liabilities = 145,908 + 34,430 = $180,338
Net worth = $1,233,000 - $180,338 = $1,052,662
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Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answers
Answer:
height of the tower: 165.8 ft
use tan rule:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here: [ your calculator should be in degree mode [D] ]
x = 37°opposite = height of the toweradjacent = 220Solve:
[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]
[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]
[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]
5 people are evenly sharing 12 kilograms of apples.
How many kilograms of apples should each person get?
Choose 1 answer:
A. 5/12 kilograms of apples
B. 2 10/5 kilograms of apples
C. 12/5 kilograms of apples
D. 1 2/5 kilograms of apples
Answers
Answer:
C. 12/5 kilograms of apples
Step-by-step explanation:
If 5ppl =12kg of apples
then 1 person= ?kg of apples
If more less divides and if less more divides
Therefore
1×12
5
= 12
5
1. What number is 35% of 80?
Answers
Answer: 28
Step-by-step explanation: 80 x 0.35 = 28
when we multilpy we get 80×0.35 = 28
Please help me. I will make Brainliest
Answers
The height of the prism is ….
Answers
Answer:
[tex]\fbox{height \: of \: prism = 19 \: mm}[/tex]
Step-by-step explanation:
Given:
Shape of object is pentagonal prism
Side of pentagon= 12mm
Apothem of pentagon= 5 mm
Volume of pentagonal prism= 2,850 cubic mm.
To find:
Hieght of pentagon prism= ?
Solution:
To find height of prism it's necessary to calculate the surface area of base,
[tex]Area \: of \: regular\: pentagon = \frac{5}{2} \times side \: of \: pentagon \: \times apothem \\ Area \: of \: regular\: pentagon = \frac{5}{2} \times 12 \times 5 \\ Area \: of \: regular\: pentagon= \frac{5}{ \not2} \times \not12^{6} \times 5 \\ Area \: of \: regular\: pentagon= 5 \times 6 \times 5 \\ Area \: of \: regular\: pentagon= 150 \: {mm}^{2} [/tex]
[tex]Volume \: of \: prism = surface \: area \: of \: base \: \times height (h) \\ 2850 = 150 \times h \\ h = \frac{2850}{150} \cdot \frac{ {mm}^{3} }{ {mm}^{2} } \\ h = \frac{\not{ {2850}^{19} }} {\not150} \cdot \frac{ {mm}^{\not {3}^{1} } }{ {mm}^{\not2} } \\ \fbox{h = 19 \: mm}[/tex]
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The required height of the pentagonal prism is 19 cm
Given that,
A figure of a pentagon prism is shown with
The volume of the prism = 2850 cubic cm
Side of pentagon base = 12 mm.
And the perpendicular distance from the center to the side = 5 mm.
Volume is defined as the ratio of the mass of an object to its density.
Or in mathematics volume can be calculated as the area of the base multiplied by the height.
In order to get the height of the prism first, we have to calculate the area of the base and then divide the volume by its base area to get its height.
The base area = 5/2 * side * perpendicular height to side from center.
= 5 / 2 * 12 * 5
= 150
The volume of the prism = base area * height
2850 = 150 * height
height = 2850/15
= 19 cm
Thus, the required height of the pentagonal prism is 19 cm
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