Answer:
y = 8x - 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x + 6 ← is in slope- intercept form
with slope m = 8
Parallel lines have equal slopes, thus
y = 8x + c ← is the partial equation
To find c substitute (3, 9) into the partial equation
9 = 24 + c ⇒ c = 9 - 24 = - 15
y = 8x - 15 ← equation of parallel line
Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points
Answer:
The equations of the line are
y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B
y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y1=m(x-x1)[/tex] , where
m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (-4, -7) and (3, 2)
∴ x1 = -4 and y1 = -7
∴ x2 = 3 and y2 = 2
→ Use the rule of the slope above to find it
∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]
∴ The slope of the line is [tex]\frac{9}{7}[/tex]
→ Substitute the values of m and (x1, y1) in the form of the equation above
∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)
∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
∴ The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
→ Substitute the values of m and (x2, y2) in the form of the equation above
∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
∴ The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
→ Look at the answers to find the same equations
∴ Answers B and E have the same equations
How to factor y^3 +2y^2 + 2y + 1
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
0 -1 -1 -1
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
HELP HELP HELP PLEASE
Answer:
3/5 lmk if you need the work
Step-by-step explanation:
Kate is baking pies for the teachers lunch at her school. She plans to give every teacher 16of a pie. She decides to bake10 pies.
Answer:
the answer is 260
Step-by-step explanation:
Let y^4+5x=11y 4 +5x=11y, start superscript, 4, end superscript, plus, 5, x, equals, 11. What is the value of \dfrac{d^2y}{dx^2} dx 2 d 2 y start fraction, d, squared, y, divided by, d, x, squared, end fraction at the point (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis?
Answer:
[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]
Step-by-step explanation:
Given the expression [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]
This differentiation will be implicit (indirect) as shown:
[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]
Differentiating the second time using quotient rule:
[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]
A bakery sells 8 lemon poppy muffins for every 1 bran muffin sold. Which table represents the relationship between lemon poppy and bran muffins?
A
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
1616 99
3232 2525
B
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
2626 55
2828 77
C
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
4040 55
5656 77
D
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
2424 44
4040 66
please answer the question im sturggling .
Answer:
A 1
Step-by-step explanation:
8x11=88
1x11=11
!!!BRAINY AND 10 PTS!!!
Answer:
Top left
Step-by-step explanation:
Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????
Answer:
$3.77
Step-by-step explanation:
First, add all of the numbers together:
$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65
Next, divide that number by the number of numbers:
22.65/6=3.77
<3
Input 1 2 3 4 output -10 14 18 function or not
Answer:
function
Step-by-step explanation:
no multiplying numbers
PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?
PLS HELP 50 points!!!! Which relation is a function?
O {(-2, 1), (-7, - 1), (2, 8), (-7, – 8)}
O {(-2, 2), (-7, 7), (-1, 1), (-8, 8)}
O {(-2, 1), (-2, 2), (-2, 7), (-2, 8)}
O {(1, -7), (2, – 8), (-2, 7), (1, 8)}
Answer:
B
Step-by-step explanation:
For a relation to be a function, it must fit the following criteria:
Each input must be matched to exactly one output. Inputs cannot repeat*. Outputs can. *If inputs do repeat, they must be equal the same output as the other inputs.So, let’s go through each of the choices.
Choice A)
In this relation, -7 repeats. It simultaneously equals -1 and -8. So, this is not a function since it’s repeating and it doesn’t equal to same.
Choice B)
In this relation, none of the inputs are repeating. Therefore, B is the corrrect answer.
Choice C)
In this relation, -2 repeats four times. And each time, it equals something different. Therefore, C is not a function.
Choice D)
Here, 1 repeats twice, equalling both -7 and 8. Since it appeared more than once and is not equal to the same thing, D is not a function.
Therefore, our answer is B.
Edit: Typo
Look at the number 451,433. What place is the 5 in?
Answer:
Step-by-step explanation:
the 10,000's column
hope this helped :)
Answer:
[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]
choose the correct congruence statement
Answer:
To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.
Step-by-step explanation:
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
Answer:
the input is the number or gallons aka b
the output is the balance in the account aka c
and the two points described are (5,442) and (13,226) aka c
Step-by-step explanation:
i did it on edge and got it right :)
Answer:
here the answer
Step-by-step explanation:
Write the following equation in slope -intercept form : y - 3 = 4(x + 2)
Answer:
y=4x+11
Step-by-step explanation:
multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps
PLEASE HELP! WILL GIVE BRAINLIEST AND 30 POINTS!
What is the range of possible values for x?
The diagram is not to scale.
Answer in this format: a < b < c
Please identify the common angles and sides or these triangles.
Answer:
see attached image
Step-by-step explanation:
In the diagram shown to the rig m
what's the distance between the points (4,3) and (16,8)
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
===========================================
Work Shown:
The two given points are [tex](x_1,y_1) = (4,3)[/tex] and [tex](x_2,y_2) = (16,8)[/tex]
Use the distance formula
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\[/tex]
-3b+2=4b+9
pls answer hahaha
x-7(x-2)=10x+9-x
i need the answer asap pls
Step-by-step explanation:
x−7(x−2)=10x+9−x
Step 1: Simplify both sides of the equation.
x−7(x−2)=10x+9−x
x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)
x+−7x+14=10x+9+−x
(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)
−6x+14=9x+9
−6x+14=9x+9
Step 2: Subtract 9x from both sides.
−6x+14−9x=9x+9−9x
−15x+14=9
Step 3: Subtract 14 from both sides.
−15x+14−14=9−14
−15x=−5
Step 4: Divide both sides by -15.
−15x−15=−5−15
x=13
Answer:
x=13
What is 33 and 1/3 as a percent?
Answer:
33 is 33 % of 100 and 1/3 is 33.33 %
Step-by-step explanation:
Hope this helps!!
Answer:
33.3333333333333.........%
Step-by-step explanation:
What is the equation of the line that passes through the point (-3, 7) and has a
slope of 1/3?
Answer:
y=[tex]\frac{1}{3}[/tex]x+8
A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2
Event Cost: 500+20x
If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.
A
$5.69≤x
B
$5.69≤x≤$12.33
C
$3.29≤x
D
$3.29≤x≤$21.29
Please help.
The value of the x should be more than or equal to 5.69. Then the correct option is A.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.
A school is planning a fundraiser with all profits going to charity.
Ticket Sales: 200x − 10x²
Event Cost: 500 + 20x
The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.
Event cost − Total sales ≥ Profit
(500 + 20x) − (200x − 10x²) ≥ 200
− 200x + 10x² + 500 + 20x − 200 ≥ 0
10x² + 180x − 700 ≥ 0
10x² − 180x + 700 ≥ 0
x² − 18x + 70 ≥ 0
On simplifying, we have
(x − 5.69) (x − 12.33) ≥ 0
x ≥ 5.69, 12.33
Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
What is the measure of JKL
Answer:
Did you insert a picture because I cant see one
What value of p makes the equation true?
-3p + 1/8 = -1/4
Answer:
p = 1/8
Step-by-step explanation:
Hi there !
⁸⁾-3p + 1/8 = ²⁾- 1/4
- 24p + 1 = - 2
- 24p = - 2 - 1
- 24p = - 3 | (-)
24p = 3
p = 3⁽³/24
p = 1/8
Good luck !
I WILL GIVE YOU BRAINLIEST
Answer:
3 million or 3 x 10^6
Step-by-step explanation:
You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6
A family is driving at a steady rate on their vacation. The graph shows the relationship between the time and distance from home. What is the constant of proportionality for this graph?
92 miles per hour
460 miles per hour
46 miles per hour
2/92 miles per hour
Answer:
46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot
Step-by-step explanation:
in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant
Answer:
46 miles per hour
Step-by-step explanation:
2x46=92
92÷2=46
92-46=46
Work out the value of
5^8 x 5^-2 /
5^4
Answer:
the answer is 25
Step-by-step explanation:
After simplifying the expression the final value of the expression is given by 25
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here : The expression 5⁸×5⁻² / 5⁴
We know from the law of exponents, for any non-zero term a,
[tex]a^m.a^n=a^{m+n}[/tex]
Thus simplifying the expression we get
5⁸×5⁻² / 5⁴
=5⁸⁻² /5⁴
=5⁶⁻⁴
=5²
=25
Hence, The value of the expression is 25
https://brainly.com/question/5497425
#SPJ2
Which statement is true regarding the graphed functions? ((help please :,)