Answer:
C
Step-by-step explanation:
We know that line CD passes through the two points (0, 2) and (4, 6).
First and foremost, let’s find the slope of the line. We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are our two points.
So, let’s let (0, 2) be (x₁, y₁) and (4, 6) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{6-2}{4-0}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{4}{4}=1[/tex]
Hence, our slope is 1.
Now, we can use the slope-intercept form:
[tex]\displaystyle y=mx+b[/tex]
Where m is our slope and b is our y-intercept.
Notice from our given points that we are given (0, 2).
So, our y-intercept is 2.
Therefore, we will substitute 1 for m and 2 for b. This yields:
[tex]\displaystyle y=(1)x+(2)[/tex]
Simplify:
[tex]\displaystyle y=x+2[/tex]
Hence, our answer is C.
How can you use x- and y- intercepts to graph an equation
Answer:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.
Please mark brainliest :)
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?
Answer:
414829.243 jumping jacks/minute
Step-by-step explanation:
Divide the total number of jumping jacks done by the total time.
[tex]\frac{184184184}{444} =414829.243[/tex]
Answer:
46
Step-by-step explanation:
PLS HELP WITH ALGEBRA QUESTION ON MATRICES. WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
I think A but for sure on C and D. Good luck
In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?
A. ) 1:4
B. ) 1:5
C. ) 1:25
D. ) 3:10
Answer:
D) 3:10
Step-by-step explanation:
Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.
Which expression shows the sum of the polynomials with like terms grouped together?
10x’y+2xy2 - 4x2 - 4x^y
o [(-4x) + (-4x²y) + 10x?y] + 2xy?
o 10x+y+2xy?= [(-4x2)+(-4x²y)]
• (-4x2) + 2xy +[10x²y+ (-4x?y)]
o (10x+y+2xy?+ (-4x+y)]+(-4x)
Answer:
C (-4x2) + 2xy + (10x^2 y + ( -4x^2 y )
Step-by-step explanation:
I got it right on the test :3 UNUS ANNUS
Polynomial (3) [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex] gives the sum of the given polynomial [tex]10x^2y+2xy^2-4x^2-4x^2y[/tex] with like terms grouped together.
What is Polynomial?Polynomial is a mathematical expression made of one or more algebraic terms (variable) with different powers and different combinations and coefficients.
We can add or subtract only like terms in a polynomial, and like terms are which have the same variable combination with similar power but the coefficient can be different.
Here given polynomial is [tex]=10x^2y+2xy^2-4x^2-4x^2y[/tex]
Here we have to group the like terms in the given polynomial which are [tex]10x^2y,(-4x^2y)[/tex].
So grouping the like terms we can write the sum of the given polynomial as [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex].
Hence option (3) is correct.
Learn more about Polynomial here -
https://brainly.com/question/1600696
#SPJ2
Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assume all variables are positive)
Answer:
[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]
Step-by-step explanation:
[tex]\log_5(\frac{9\sqrt{x}}{y^3})[/tex]
First rule I'm going to use is the quotient rule:
[tex]\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)[/tex]
[tex]\log_5(9\sqrt{x})-\log_5(y^3)[/tex]
Secondly, I'm going to rewrite the radical.
[tex]\sqrt{x}=x^\frac{1}{2}[/tex]
[tex]\log_5(9x^\frac{1}{2})-\log_5(y^3)[/tex]
Third, I'm going to use the product rule on the first term:
[tex]\log_b(mn)=\log_b(m)+\log_b(n)[/tex]
[tex]\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)[/tex]
Fourth, I'm going to use power rule for both of the last two terms:
[tex]\log_b(m^r)=r\log_b(m)[/tex]
[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]
Sara walks at a constant speed. She walked 1 mile in 15 minutes. Which equation represents the amount of time in minutes, t, that it took for her to walk a distance of d miles? *
t = (1/15)d
t = 15d
t = d + 15
t = d - 15
Answer:
t=15d
Step-by-step explanation:
The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.
We can plug in one mile to verify this answer.
t=15(1)
t=15
Hope this helped!
Please help!! I will give brainliest.
Answer:
7.) 0.7
8.) 1
9.) 4.24
Step-by-step explanation:
Answer:
4.24
Step-by-step explanation:
A toy cannon ball is launch from a cannon on top of a platform the equation h(t)= -5t + 14t + 2 gives the height h, in meter, of the ball t seconds after it is launched.
A) determine if the ball reaches a height of 14 meters. explain your answer.
B) how long is the ball in the air?
101 = -4 + 5(x + 2)
please help
Answer:x=19
Step-by-step explanation:
101 = -4 + 5(x + 2)
101= -4 +5x+10
91=-4+5x
95=5x
x=19
19
Step-by-step explanation:
Distribute 5
101=-4+5x+10
Combine like terms
101=5x+6
Get x alone on one side by subtracting 6
95=5x
Simplify
19=x
What are some rules you need to know when solving absolute value inequalities and equations?
Answer:
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.
Step-by-step explanation:
hope this helps!
Answer: -absolute value inequalities work two ways, not 1
-if it's greater than anything less than 0, then the solution is all real numbers
- if it's less than zero, there is no solution
-dividing by -1 flips the sign
Step-by-step explanation:
These are just some of the rules that I know
Shyryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 out of the total 480 pages left to read. Let y represent the number of pages left to read after x hours.
Complete the equation for the relationship between the number of pages left and number of hours.
Answer:
[tex]y=-52x+480[/tex]
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
[tex]y=mx+b[/tex]
The event into consideration is the number of pages of a book left to read by Shyryia.
We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substituting the given points:
[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]
[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]
Operating:
[tex]y-402=-52(x-1.5)[/tex]
[tex]\mathbf{y=-52x+480}[/tex]
Answer:
-52x+480.
Step-by-step explanation:
I took the test, definitely correct
PLEASE HELP
If this is the graph of f(x)=a^(x+h)+k then.
Answer:
a
Step-by-step explanation:
Answer: 0<a<1
Step-by-step explanation:
A) Side measures of the triangle are given. Apply the Pythagorean Inequality to
classify each triangle as Acute, Obtuse or Right triangle.
1) 15 yd ; 8 yd ; 17 yd
2) 10 in ; 9 in; 5 in
3) 18 ft; 11 ft; 14 ft
4) 17 yd; 13 yd ; 20 yd
Pls solve all it due soon plsssssssssss
Answer:
1 obtuse
2 acute and
3 acute and
4 obtuse
Step-by-step explanation:
20. If g(x) = x^3+9/3x evaluate g(-3)
Answer:
2
Step-by-step explanation:
-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.
Suntract ( p-q)-(p+q)
The answer is -2q
hope this helps <3
Please help me?? Solve for x
Step-by-step explanation:
95+8x+5=180
100+8x=180
8x=80
X=80/8
x=10
Jim earns 3% commission every month on his total sales. This month, his total sales were $620,000. How much commission did Jim earn?
Group of answer choices
A-$18,600
B-$20,600
C-$206,000
D-$186,000
pretty sure its A.
Brainliest?... thx
SOMEONE HELP ILL KISS U
Answer:
0, 5x
Step-by-step explanation:
0 in the first box
5x in the second box
2/3(-2)+4
2/3(-1)+4
2/3(0)+4
2/3(1)+4
2/3(2)+4
SOLVE PLEASE!!
Answer:
how do u want meto read it?
Step-by-step explanation:
PLEASE HELP ME!!!!!
This is due tomorrow and I am struggling. I don’t understand anything my math teacher teaches. I’m online cause I don’t like going to school and Im trying to make the best of it. I never thought this year I would have a math teacher like this. Last year my math teacher was such a good teacher. I passed every test in her class it was a piece of cake. But this year I’m not so lucky. So I’m asking if anyone can HELP ME PLEASE!!!! Oh and as a reminder there’s two math problems. U going to have to click it cause it’s an photo.
Step-by-step explanation:
2.
(2 + √3)(2 - √3)
x² - y² = (x + y)(x - y)x = 2, y= √3x² = 2² = 4y² = √3² = 3(2 + √3)(2 - √3) = 4 - 3 = 13.
(6 + √5)/(6 - √5)
Multiply both numerator and denominator by (6 + √5) to simplify(6 - √5) ((6 + √5) = 6² - √5² = 36 - 5 = 31(6 + √5)/(6 +√5) = 6² + 2*6*√5 + √5² = 36 + 12√5 + 5 = 41 + 12√5(6 + √5)/(6 - √5) = (41 + 12√5)/31What is 4 1/3 times 4 1/2
Answer:
19 1/2
Step-by-step explanation:
4 1/3 = 13/3
4 1/2 = 9/2
13/3 x 9/2
13/1 x 3/2 ( 3 goes into nine so i simplified)
13 x 3/1 x 2 = 39/2 = 19 1/2
What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4
Please help... Question is in the picture
Answer:
B) (0,1)
Step-by-step explanation:
The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.
Hope this helps!
Which statement best explains whether the table represents a linear or nonlinear function?
It is a linear function because there is a constant rate of change in both the input and output values.
It is a nonlinear function because there is a constant rate of change in both the input and output values.
It is a linear function because the input values are decreasing.
It is a nonlinear function because the input values are increasing.
Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2
Answer:
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation:
Given table is:
Input (x) Output (y)
−2 7
−5 4
−8 1
−11 −2
It can clearly be observed that the values for x and y are changing with the same rate.
In case of x, -3 is added to the previous input to get the next input.
Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.
Hence,
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Two hot air balloons are traveling along the same path away from a town,
beginning from different locations at the same time. Henry's balloon begins
30 miles from the town and is 48 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y =
8x+ 20.
Which balloon was farther from the town at the beginning, and which traveled
more quickly?
A. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.
O B. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
O C. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly
D. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.
Answer:
it si this
Step-by-step explanation:
Simplifying
4y + -10 = 5 + -1y
Reorder the terms:
-10 + 4y = 5 + -1y
Solving
-10 + 4y = 5 + -1y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add 'y' to each side of the equation.
-10 + 4y + y = 5 + -1y + y
Combine like terms: 4y + y = 5y
-10 + 5y = 5 + -1y + y
Combine like terms: -1y + y = 0
-10 + 5y = 5 + 0
-10 + 5y = 5
Add '10' to each side of the equation.
-10 + 10 + 5y = 5 + 10
Combine like terms: -10 + 10 = 0
0 + 5y = 5 + 10
5y = 5 + 10
Combine like terms: 5 + 10 = 15
5y = 15
Divide each side by '5'.
y = 3
Simplifying
y = 3
Answer: A.
Step-by-step explanation: Henrys balloon was farther from the town at the beginning, and it traveled more quickly
I got this right so don't let anyone tell you different
The figure shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1. Which of the following statements is true about the three quadrilaterals? E and F are similar but not congruent. E and G are similar but not congruent. G and F are similar and also congruent. E and G are similar and also congruent.
Answer: E and G are similar and also congruent.
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
HELP ME PLEASE! I need help on Desmos!
Answer:
B is the answer :)
Step-by-step explanation:
Find the value of y
Answer:
69 degrees
Step-by-step explanation:
The triangles are congruent because one of the angles is congruent to the other and the angle at the top is the same. The total number of degrees in a triange is 180. 180-(66+45 (the angle lenghts of the other 2 angles)) is equal to 180-111=69 degrees.
A pizza shop sells pizzas that are 12 inches in diameter or larger a 12 inch cheese pizza cost eight dollars each additional inch cost $2.50 and each additional toppings cost $1.25 write an equation that represents the cost of the pizza be sure to specify what variables represent they'll be three variables
Answer:
C(x, y) = 8 + 1.25x + 2.50(y - 12)
Step-by-step explanation:
Given that:
Cost of 12 inch cheese pizza = $8
Each additional inch cost $2.50
Each additional topping cost $1.25
The cost equation :
Let x = additional topping ; y = diameter of pizza, cost of pizza = C
C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)
C(x, y) = 8 + 1.25x + 2.50(y - 12)
Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)
Step-by-step explanation: