Answers
Answer:
[tex]d)\ y=x+5[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{5-2}{0-(-3)} \\\\m=\frac{3}{(0+3)} \\\\m=\frac{3}{3} \\\\m=1[/tex]
[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]
(0, 5)
[tex]5=0+b\\5=b[/tex]
[tex]y=x+5[/tex]
Check your answer:
[tex]y=x+b\\5=0+5\\5=5[/tex]
This statement is true
Hope this helps!
Answer:
D. y=x+5
Step-by-step explanation:
Find the slope of the line. Remember to use equation: m=y2−y1/x2−x1
m= 5-(2)/0-(-3)
Simplify both numerator and denominator, then divide. You'll get m=1
Use the slope 1 and a given point (−3,2) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1).
y−(2)=1⋅(x−(−3))
Simplify the equation.
y−2=1⋅(x+3)
Solve for y by multiplying x+3 by 1.
y−2=x+3
Move everything that doesnt contain y to the right by adding 2 to both sides of the equation
y=x+3+2
and then added 3 and 2.
y=x+5
Related Questions
How many different 2-digit numbers can be formed with no digit repeated by using the digits 6, 1, 2, or 4?
Answers
Answer:
12
Step-by-step explanation:
61 62 64 16 12 14 26 21 24 46 41 and 42
In an election between two candidates, the winner received 65% of the 15,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser?
Answers
Answer:The winner recieved 4,500 more votes than the loser
Step-by-step explanation:
Answer:
5,250
Step-by-step explanation:
The first step is to set up a porportion like this one
[tex]\frac{?}{15,000} \frac{65}{100}[/tex]
Next, you cross multiply and divide. 15,000 times 65 is 975,000
Then divide this by 100 which is 9750. This is the number of votes the winning candidate received. Subtract this number from 15,000 to get 5,250. Hope this helps!
Which is the most efficient method substitution or elimination or graphing to solve the system of equation. Explain why the method you pick is the is the most efficient. 5x + 3y = 6 and -4x -3y = -3
Answers
Answer:
see explanation
Step-by-step explanation:
5x + 3y = 6 → (1)
- 4x - 3y = - 3 → (2)
the most efficient method here would be elimination.
add (1) and (2) term by term to eliminate y
x + 0 = 3
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (1)
5(3) + 3y = 6
15 + 3y = 6 ( subtract 15 from both sides )
3y = - 9 ( divide both sides by 3 )
y = - 3
solution is (3, - 3 )
Answer:
[tex](3,-3)[/tex]
Step-by-step explanation:
[tex]5x + 3y = 6[/tex]
The most efficient method for this equation is elimination.
[tex]x + 0 = 3[/tex]
[tex]5(3) + 3y = 6[/tex]
Substitute x = 3 into any of the equation and solve for y.
[tex]5(3) + 3y = 6[/tex]
[tex]15 + 3y = 6[/tex]
[tex]-15 -15[/tex]
[tex]3y = - 9[/tex]
[tex]\frac{3y}{3}=\frac{-9}{3}[/tex]
[tex]y=-3[/tex]
[tex](3,-3)[/tex]
let a and b be the roots of the equation x^2-2(p+1)x+p^2+8=0. If the absolute value of the difference of a and b equals to 2. find p
Answers
Answer:
4
Step-by-step explanation:
a and B are the roots of
[tex] {x}^{2} - 2(p + 1)x + {p}^{2} + 8 = 0[/tex]
[tex] {x}^{2} - 2px - 2x + {p}^{2} + 8 = 0[/tex]
This look like a parabola since p will be a constant so let use a quadratic formula
[tex] {x}^{2} -(2p + 2)x + {p}^{2} + 8 = 0[/tex]
[tex]2p + 2± \frac{ \sqrt{4 {p}^{2} + 8p + 4 - (4 {p}^{2} + 32) } }{2} [/tex]
[tex]2p + 2± \frac{ \sqrt{8p - 28} }{2} [/tex]
[tex]2p + 2± \frac{2 \sqrt{2p - 7} }{2} [/tex]
[tex]2p + 2± \sqrt{2p - 7} [/tex]
So the roots are
[tex]2p + 2 + \sqrt{2p - 7} [/tex]
and
[tex]2p + 2 - \sqrt{2p - 7} [/tex]
We know the distance between these two points are
2 so
[tex] |(2p + 2) + \sqrt{2p - 7} - (2p + 2) - \sqrt{2p - 7} | = 2[/tex]
[tex] | \sqrt{2p - 7} + \sqrt{2p - 7} | = 2[/tex]
[tex] |2 \sqrt{2p - 7} | = 2[/tex]
[tex]2 \sqrt{2p - 7} = 2[/tex]
[tex]p = 4[/tex]
Let plug it in to see.
[tex] {x }^{2} - 2(4 + 1)x + {4}^{2} + 8 = 0[/tex]
[tex] {x}^{2} - 10x + 24 = 0[/tex]
[tex](x - 6)(x - 4) = 0[/tex]
[tex]x = 4[/tex]
[tex]x = 6[/tex]
So they have a distance of 2.
what is 3c2+ 2c- 16?
factoring
Answers
In the given question, we have to factorise the equation:
3c² + 2c - 16Therefore, by using the middle term splitting method:
This method is used in equations which are in the form of ax² + bx + c. Here, we split the middle term into two terms which on multiplying gives ac and on adding or subtracting gives bx .➙ 3c² + 2c -16
➙ 3c² - 6c + 8c - 16
➙ ( 3c² - 6c )+ (8c - 16 )
➙ 3c( c - 2 ) + 8 ( c - 2 )
➙ ( c - 2 ) ( 3c + 8 )
Factorisation of a quadratic polynomial of the type ax² + bx + c where (a ≠ 1) .
To factorise ax² + bx + c, we have to find two numbers whose sum is equal to the coefficient of x and product is equal to the coefficient of x² and constant term.Consider the factorisation of 3c² + 2c – 16 .
We have to find two numbers whose sum is +2 and product (3 × 16) = 48 .
Obviously, the two numbers are 6 and 8 .
[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 2c - 16 }}}[/tex]
So, We can write it as,
[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 8c - 6c - 16 }}}[/tex]
[tex]{ \qquad \sf { \dashrightarrow{ c (3c + 8) -2 (3c + 8) }}}[/tex]
[tex]{ \qquad \sf { \dashrightarrow{ ( c -2 )(3c + 8) }}}[/tex]
please help ASAP!!!!!
Answers
Answer:
that would be 26
Step-by-step explanation:
you got this!
please help (AP Calc AB) will mark brainliest! image provided
Answers
Answer:
So I think your answer is Zero
I think it will help you.
100 points!!!! Whatbis the simplest form of x4y7/3√x10y4
Answers
Answer:
The last one.
Step-by-step explanation:
Answer:
y^5 cubed root x^2 y^2
Step-by-step explanation:
edge 2023
What is the sum of the first 67 consecutive odd numbers
Answers
odd numbers are numbers which are divisible by 3,5,7 etc.....odd numbers between 60 and 70 are 63 65 67 and 69 the sum is 264
A computer's normal price is $1400. The shop is now offering $130 discount. How many percent is the discount
Answers
Answer:
9% discount (i think im not the best at percentages sorry)
Step-by-step explanation:
since we already know how much we are getting off of the original price, we dont have to subtract anything
so you would divide this price, 130, from 1400
130/1400= 0.0928
then you would have to muliply this number by 100
0.0928 x 100= 9.28
and you would just round to the nearest number which is 9
i hope this is right sorry if it isnt
Answer : 90.7%
PLEASE EXPLAIN HOW TO DO THIS
Answers
Based on the diagram:
length: 9km
width: 9km
height: 3km
9*9*3=243 km^3 (aka answer choice B)
You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.
Answers
If the base of a square building and an equilateral triangle building have the same perimeter,
how do the areas of their floors compare?
Answers
The relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
How to compare the areas?Let the side length of the base of the square building be l, and the side length of the base of the equilateral triangle building be s
So, the perimeter of both buildings is
P = 4l --- the squareP = 3s --- the equilateral triangleBoth perimeters are equal.
So, we have:
4l = 3s
Divide both sides by 4
[tex]l = \frac 34s[/tex]
Square both sides
[tex]l^2 = \frac{9}{16}s\²[/tex]
The area of an equilateral triangle is:
[tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
And the area of a square is
[tex]A_s = l^2[/tex]
Make s^2 the subject in [tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
[tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex]
Substitute [tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex] and [tex]A_s = l^2[/tex] in [tex]l^2 = \frac{9}{16}s\²[/tex]
[tex]A_s = \frac{9}{16} * \frac{4A_t}{\sqrt 3}[/tex]
Evaluate
[tex]A_s = \frac{9}{4} * \frac{A_t}{\sqrt 3}[/tex]
Rationalize
[tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Hence, the relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Read more about perimeter and area at:
https://brainly.com/question/24571594
3. A Salesman Sold
$65,100 in bikes.
He eared a 20%
Commission. How
much did he earn?
Answers
Answer:
13020
Step-by-step explanation:
He earned 13,020
What is the remainder when dividing the sum (2001 + 2002 + 2003 + 2004 + 2005) by 2004?
Answers
Answer:
4.99750499002
Step-by-step explanation:
Answer:
1984
Step-by-step explanation:
(2001 + 2002 + 2003 + 2004 + 2005) by 2004
10015/2004
4 remainder 1984
Hope this helps!
Given the rectangle below, find the measure of
Answers
Answer:
I don't know honestly sorry
Step-by-step explanation:
I tried
find the minimum or maximum value of the function. h(x)=-4x^2-4x+24
Answers
Answer:
the maxium value is 25 you can see this in the picture
Hope This Helps!!!
Vicky got her hair cut at Great Clips. She was quite pleased with her service so she left a 25% tip for her hair dresser which was $4.75. What is the cost of a hair cut at Great Clips?
Answers
Answer:
19
Step-by-step explanation:
4.75 x 4 = 19
19 dollars for the haircut
Have an amazing day!
PLEASE RATE!
Graph the function f(x) = – 4(x + 4)2 square + 7.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.
Answers
Graph attached
Answer:
vertex = (-4, 7)
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
Step-by-step explanation:
Given function: [tex]f(x) = -4(x + 4)^2 + 7[/tex]
Vertex form of a quadratic function: [tex]f(x)=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
From inspection, we can see that the given function is in vertex form.
h = -4 and k = 7
Therefore, the vertex is at (-4, 7)
As [tex]a[/tex] is negative, the parabola will open downwards.
When graphing functions, it is useful to determine the axis intercepts.
The curve will intercept the y-axis when x = 0.
Substituting x = 0 into the function:
[tex]f(0) = -4(0 + 4)^2 + 7=-57[/tex]
Therefore, the y-intercept is at (0, -57)
**cannot plot this on the given graph area as it is out of range**
The curve will intercept the x-axis when y = 0.
Setting the function to 0 and solving for x:
[tex]-4(x + 4)^2 + 7=0[/tex]
[tex]\implies -4(x + 4)^2=-7[/tex]
[tex]\implies (x + 4)^2=\dfrac74[/tex]
[tex]\implies x+4=\pm\sqrt{\dfrac74}[/tex]
[tex]\implies x=-4\pm\dfrac{\sqrt{7}}{2}[/tex]
Therefore, the x-intercepts are at (-2.7, 0) and (-5.3, 0) to 1 dp.
Finally, input values of x either sides of the x-intercepts for further plot points:
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
The formula below gives the monthly payment m needed to pay off a loan of P dollars atr
percent annual interest over N months, Which of the following gives P in terms of m, r, and N?
Answers
Answer:
This day is going to be perfect
The kind of day of which I dreamed since I was small
Everypony will gather round
Say I look lovely in my gown
What they don't know is that I have fooled them all
Step-by-step explanation:
Solve: 4 In x=2 In 25
Ox=5
O x = 25
O x = 625
•
•
•
• it’s A =5
•
•
•
Second part is
• it’s B =6
Answers
Answer:
x = 5Step-by-step explanation:
Solve the equation in steps as below4 ln x = 2 ln 252 ln x = ln 252 ln x = ln 5²2 ln x = 2 ln 5ln x = ln 5x = 5Which expression results when the change of base formula is applied to log subscript 4 baseline (x 2)? startfraction log (x 2) over log 4 endfraction startfraction log 4 over log (x 2) endfraction startfraction log 4 over log x 2 endfraction startfraction log x 2 over log 4 endfraction
Answers
When the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].
What are the Properties of logarithms?There are four basic properties of logarithms:
[tex]\rm log_aU+ log_aV = log_a(UV)\\\\log_aU - log_aV = log_a(\dfrac{U}{V})\\\\log_aU^n = n\ log_aU\\\\\log_ab = \dfrac{log_xb}{log_xa}\\\\[/tex]
When the change of base formula is applied to log subscript 4 baseline (x 2), the result expression will be,
[tex]\rm log_4(x+2)=\dfrac{log_{10}(x+2)}{log_{10}4}=\dfrac{log(x+2)}{log4}[/tex]
Hence, when the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].
Learn more about Logarithms:
https://brainly.com/question/7302008
Answer:
a - StartFraction log (x + 2) Over log 4 EndFraction
Step-by-step explanation:
edge 2022
Classify/name the shape based on the number of sides and markings.
Hint: Two Words
Answers
An ad says that 6 lemons cost $1.86. What will 8 lemons cost?
Answers
Answer: 2.48
Step-by-step explanation:
We have the ad that shows:
6 lemons for .....................1.86 dollars
8 lemons..............................?
the cost for 8 lemons= (8*1.86)/6=2.48
of course we can use another method,
1.86/6=0.31 cents for 1 lemon
8*0.31=2.48 and we get the same answer
Answer:
$2.48
Step-by-step explanation:
1.86/6=0.31 which is the cost for 1 lemon. 0.31*8=2.48 which is for 8 lemons.
PLS HELP ME WITH THIS
You spend half of your allowance on Monday.
On Tuesday, you spend half of what is left.
Then on Wednesday, you spend half of what remains.
What fraction of your allowance do you have left? Choose the most reasonable answer.
Answers
Answer:
Assuming you want to know what fraction of the original amount you have.
a = allowance
(1/2)a = what have left after Monday
(1/2(1/2)a = what you have after Tuesday
(1/2)(1/2)(1/2)a = what you have after Wednesday.
Doing the multiplication.
(1/8)a = what you have left.
You have 1/8 of what you had at the start.
Hope this help u
Answer:
1/8 i think
Step-by-step explanation:
Need help on this question ASAP pleasee and thanks!
Answers
Answer:
Sorry but I don't know the answer too this question
If you you give sally 26 apple and take 13 apples away. How much apples would Sally have left? PLS HELP!!!!!!!!!
Answers
Answer:
she'd have 13 left hope this helps:)
Please help I will give brainliest.
Answers
Answer:
24(6) </= 200
Step-by-step explanation:
24(6) is less than or equal to 200 notepads, that are needed. Which is actually true. 144 is less than or equal to 200.
A bookstore has a shelf that is 27 1/2 inches long. Each book is 1 1/4 inches thick. How many books can fit on shelf
Answers
Answer:
34.375
Step-by-step explanation:
You first have to count and see how many times the selected number goes into the whole number
27.5 / 1 1/4 = 34.375 and if we remove the extra decimal 34.37
Please help really quick I really need some help with this question
Answers
Answer:
first two are right because the scatterplots align well with both graphs in the direction described
Step-by-step explanation: