Answer: [tex]y=\frac{3}{4}x+3[/tex]
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.
[tex]y=\frac{3}{4}x+b[/tex] [plug in (8,9)]
[tex]9=\frac{3}{4}(8)+b[/tex] [multiply]
[tex]9=6+b[/tex] [subtract both sides by 6]
[tex]b=3[/tex]
Now that we have b, we can complete the equation to [tex]y=\frac{3}{4}x+3[/tex].
What does the question mean? For the blank
Answer:
Absolute value.
Step-by-step explanation:
We have the expression:
[tex]\displaystyle \sqrt{s^2}[/tex]
The square root and the square will cancel. This yields:
[tex]=|s|[/tex]
We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.
In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.
For instance, say s = -7, then:
[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]
However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.
please help, ill give 69 points <33
What is the equation of a line that passes through the points, (-2, 2) and is parallel to a line with an equation of y = 2x + 5
Answer:
y = 2x+6
Step-by-step explanation:
y = 2x + 5
This line is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 2. Parallel lines have the same slope
y = 2x+b
Using the given point and substituting it into the equation
2 = 2(-2) +b
2 =-4+b
Add 4 to each side
2+4 = -4+b+4
6 = b
y = 2x+6
(URGENT PLEASE HELP)
The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?
a) 4
b) -6
c) 6
d) -4
Answer:
-6
Step-by-step explanation:
A parabola is vertex form is written as
y = a(x-h)^2 +k where (h,k) is the vertex
Substituting in the vertex
y = a(x-5)^2 +5
We know a point on the parabola so we can find a
-1 = a( 6-5)^2 +5
-1 =a(1)^2+5
-1 = a +5
Subtract 5 from each side
-1-5 = a
-6 =a
Which algebraic expression is a difference with two terms?
A. 3y+1
B.-2y+5+3
C. 5y-7
D.5(y-6)
Answer:
1.
C. 5y -7 is an algebraic expression difference with two terms.
Help
I really need help pls
Answer
Mandisa uses more balloon per animal.
Amira and Mandisa made the same amount of balloon animals.
Explanation
Mandisa uses 5 balloons per animal.
You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.
Amira and Mandisa made the same amount of balloon animals.
Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.
If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.
Which shows the equation below written in the form ax2 + bx+c = 0?
x*2+7x+ 9 = 3
Hi!
x² + 7x + 9 = 3
x² + 7x + 9 - 3 = 0
x² + 7x + 6 = 0
Answer:
x^2+7x+ 6 = 0
Step-by-step explanation:
x^2+7x+ 9 = 3
Subtract 3 from each side
x^2+7x+ 9-3 = 3-3
x^2+7x+ 6 = 0
Give the order of symmetry from the fig 3
a)2
b)3
c)6
d)4
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Height of parallelogram =12cm
Percentage change
….
Answer:
80%
Step-by-step explanation:
Change is (45-25)/25*100=(20/25)*100=80%
the table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. find equivalent ratios when the number of books ordered is 1,2, and 3. write them as ordered pairs in the form (x-coordinate, y-coordinate). starting from the origin explain how to plot three equivalent ratios on a coordinate grid.
Answer:
Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...
what is the 13mm = to
Triangle ABC has vertices A(0, 2), B(5, 4), and C(5,0). Triangle A'B'C'has
corresponding vertices A'(-5, -1), B'(0, 1), and C'(0, -3). Which of the following
describes a translation that would produce triangle A'B'C' from the pre-image of
triangle ABC?
A) To the left five units, up three units.
B) To the left five units, down three units.
C) To the right five units, up three units.
D) To the right five units, down three units.
Answer:
B) To the left five units, down three units
Answer:
( B ) To the left five units, down three units.
Find the coefficient of x^4 in the expansion of
(2x+1)^12
Answer:
7920
Step-by-step explanation:
you can use the binomial theorem obviously but you can also use symbolabs or wolframalpha and just solve it like that.
Please help me with this question.
Need help ASAP !!! Am I correct? Just checking….
Answer:
Yes you are
Step-by-step explanation:
If you multiply the first equation by 3 , y becomes 3y and so you can eliminate from there.
(a) 88.83 is what percent of 21?
(b) 25.83 is 52.5% of what number?
Thanks!!!
[tex]\sqrt{x^{2} +2x+2\\}[/tex]
Answer:
[tex]{ \tt{ \sqrt{ {x}^{2} } + 2x + 2}} \\ { \tt{ = x + 2x + 2}} \\ = { \tt{3x + 2}}[/tex]
Find the number of unique permutations of the word ALGEBRA.
Answer:
= 2520
Step-by-step explanation:
In 2520 distinct way the letter "ALGEBRA " can be Arranged
I think it's the answer
in a right triangle ABC, C is the right angle. What does cos A equal
1: cos(B)
2: both A and C
3: Cos(90-A)
4: sin(90-A)
Answer:
4
Step-by-step explanation:
A+B+C = 180
C = 90
A+B = 90
A=90-B
Cos (A) = Sin(90-A)
Can someone help me please with this math homework!!!
Answer:
-2x + 3y = -19
Step-by-step explanation:
y + 1 = 2/3(x-8)
multiply by 3 to get rid of the fraction
3(y + 1 = 2/3(x-8)
3y + 3 = 2(x-8)
simplify
3y + 3 = 2x - 16
3y - 2x = -19
-2x + 3y = -19
Find the missing segment in the image below
Answer:
20.4
Step-by-step explanation:
that is the procedure above
Answer:
Step-by-step explanation:
Derrick's dad bought new tires for $900 using a credit card. His card has an
interest rate of 19%. How much interest will he accrue after 4 months?
Answer:
$57 interest
Step-by-step explanation:
For an interest rate of 19% ; the monthly interest will be 19/100 = 0.19
4 months interest will be (0.19 * 4)/12 = 0.0633
so now, the value of the interest will be
0.0633 * 900 = $57
A line segment has one endpoint of A (-3,2) and a slope of (-3/5). Find coordinates for B
Answer:
Step-by-step explanation:
This is a very interesting problem. We are given the slope and one point, which makes this funner than normal ;)
Filling in the slope formula with what we are given:
[tex]-\frac{3}{5}=\frac{y-2}{x-(-3)}[/tex] which simplifies to
[tex]-\frac{3}{5}=\frac{y-2}{x+3}[/tex]
Since slope is rise over run, the rise number is -3; the run number is 5. That means that the equation to find the y coordinate comes from -3 = y - 2; the equation to find the x coordinate comes from 5 = x + 3 (keep in mind that you could have made the x coordinate the negative one; it doesn't matter. You will get the same answer regardless...promise).
Solving for y:
-3 = y - 2 and
y = -1
Solving for x:
5 = x + 3 and
x = 2
Let's check those coordinates in the slope formula and see if our slope is in fact -3/5:
[tex]m=\frac{-1-2}{2-(-3)}=-\frac{3}{5}[/tex] so we're all good!
The coordinates of B are (2, -1)
FOR BRAINLIEST ASAP!!!
Jean bought an mp3 player and a calculator for a total of $208. the mp3 player cost $140 more than the calculator, what did the calculator cost
Answer:
Calculator cost = $34
Step-by-step explanation:
x + (x+140) = 208
2x + 140 = 208
x=34
solve h(x)=x^2-2x-8>7
Answer:
x < -3 and x > 5
Step-by-step explanation:
x² - 2x - 8 > 7
~Rewrite in standard form
x² - 2x - 15 > 0
~Factor
(x + 3)(x - 5) = 0
~Solve for both factors
x + 3 = 0
x = -3
x - 5 = 0
x = 5
Best of Luck!
The equation 9 y minus 6 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for x? Divide both sides of the equation by 36. Multiply both sides of the equation by 6. Add 9y to both sides of the equation. Subtract 9y from both sides of the equation.
Answer:
D. Subtract 9y from both sides of the equation.
Step-by-step explanation:
A. Divide both sides of the equation by 36.
B. Multiply both sides of the equation by 6.
C. Add 9y to both sides of the equation.
D. Subtract 9y from both sides of the equation.
Given:
9y - 6x = 36
To solve for x
Step 1: subtract 9y from both sides
9y - 6x - 9y = 36 - 9y
- 6x = 36 - 9y
Step 2: Divide both sides by -6
- 6x / -6 = (36 - 9y) / - 6
x = (36 - 9y) / - 6
The answer is
x = (36 - 9y) / - 6
Answer:
d
Step-by-step explanation:
Find f(-2) for f(x) = 2•3^x
Answer:
2/9
Step-by-step explanation:
f(x) = 2•3^x
Let x = -2
f(-2) = 2•3^-2
We know that a^-b = 1/a^b
f(-2) = 2• 1/3^2
= 2/9
f(x) = 2 * 3^x
f(-2) = 2 * 3^-2
f(-2) = 2 * 1/3^2
f(-2) = 2 * 1/9
f(-2) = 2/9
Hope this helps!
6.7.37
Question Help
Ay
60
a
A teenager starts a company selling personalized coffee mugs. The profit
function, in dollars, for producing and selling x mugs is
f(x) = -0.4x?
+ 12x-50, whose graph is shown.
40-
20-
0
TO
-20-
20
a. What are the start-up costs for the teenager's company?
b. How many mugs must the teenager sell before she breaks even?
c. How many mugs will give the maximum profit?
d. What will the profit be if she sells 10 mugs?
30
-407
-60-
Answer:
a. The start-up cost for the teenagers company is $50
b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs
c. The number of mugs that will give maximum profit is 15 mugs
d. The profit if she sells 10 mugs is $30
Step-by-step explanation:
The given profit function for selling x number of mugs is presented as follows;
f(x) = -0.4·x² + 12·x - 50
a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;
Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50
The negative sign represents amount put in the business
The start-up cost = (The initial) $50 put into the business.
b. The break even point is the point where, the revenue and costs are equal
At break even point; Revenue = Cost
∴ Profit, at break even point, f(x) = Revenue - Cost = 0
From the profit function, we get;
At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50
Dividing by -0.4 gives;
0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125
0 = x² - 30 + 125
∴ (x - 25)·(x - 5) = 0
The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.
c. From the general form of a quadratic equation, which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)
Comparing the profit function to the general form of the quadratic equation we have at the maximum point;
x = -12/(2×(-0.4)) = 15
Therefore, the number of mugs that will give maximum profit, x = 15 mugs.
d. The profit from selling 10 mugs, f(10) is given as follows;
f(10) = -0.4 × 10² + 12 × 10 - 50 = 30
The profit from selling 10 mugs, f(10) = $30
express the equation for
[tex] \frac{15y - 10}{3x} [/tex]
=6 in the form of mx+b
Answer:
is it 6 with the 10
Step-by-step explanation:
Answer:
y = 6/5 x + 2/3
Step-by-step explanation:
A equation is given to us and we need to express it in , mx + b form . The given equation to us is,
[tex]\rm\implies 6 = \dfrac{15y - 10}{3x} [/tex]
Move 3x to LHS , we will get ,
[tex]\rm\implies 6 * 3x = 15y - 10 \\\\\rm\implies 18x = 15y - 10 \\\\\rm\implies 15y = 18x + 10 \\\\\rm\implies y =\dfrac{18x+10}{15} \\\\\rm\implies \boxed{ \bf y = \dfrac{6}{5}x + \dfrac{2}{3}}[/tex]
This is the required answer .
