Answer:
An equation in standard form for the line is:
[tex]\frac{5}{2}x-y=-4[/tex]
Step-by-step explanation:
Given the points
(-2, -1) and (0, 4)The slope between two points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)[/tex]
[tex]m=\frac{4-\left(-1\right)}{0-\left(-2\right)}[/tex]
[tex]m=\frac{5}{2}[/tex]
Writing the equation in point-slope form
As the point-slope form of the line equation is defined by
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Putting the point (-2, -1) and the slope m=1 in the line equation
[tex]y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+1=\frac{5}{2}\left(x+2\right)[/tex]
[tex]y=\frac{5}{2}x+4[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
so
[tex]y=\frac{5}{2}x+4[/tex]
[tex]\frac{5}{2}x-y=-4[/tex]
Therefore, an equation in standard form for the line is:
[tex]\frac{5}{2}x-y=-4[/tex]
Please hurry and help me I give a brainiest!
Answer:
7/8
Step-by-step explanation:
87.5% is equal to 875/1000
by dividing by 5 a couple times
175/200
35/40
7/8
Answer:
7/8 is the answer for this particular question
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression. (1/4)^x (1/4)^17
a.
0; 1.7
c.
1; 0.7
b.
1; 0.1
d.
0; 1.3
Answer:
b
Step-by-step explanation:
The graph of f(x) = 2x + 3 is a linear function and its y-intercept is y = 2x + 3.
What is linear function?Any function is referred to as linear if it represents a straight line on the coordinate plane. For instance, the linear function represented by the equation y = 3x – 2 looks like a straight line on a coordinate plane. Due to the fact that f(x) can substitute for y, this function can be written as f(x) = 3x - 2.
here, we have,
First find the slope of the line
y - y₁ = m(x - x₁)
0 - 3 = m(-1.5 - 0)
m = 2
From the graph, we can take any of the two points i.e.(0, 3) and put it in slope formula
y - y₁ = m(x - x₁)
So,
y - 3 = 2(x - 0)
y = 2x + 3 (y-intercept)
Learn more about linear function
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Full question:
Graph each function determine which of the functions are linear. find the y-intercept of each function and the slope.
f(x) = 2x + 3
Which of the following is the fastest unit rate ( 1 mile = 1,760 yards = 5,280 feet)
A. 30 miles per hour
B. 40 feet per second
C. 700 yards per minute
D. 2,200 feet per minute
Answer:
A. 30 miles per hour
Step-by-step explanation:
If you divide 5,280 feet by 1,760, you get a quotient of 3. Then you multiply 10 times 3 to get 30 miles.
Answer:
a
Step-by-step explanation:
Area of parallelogram is 60cm if the length of two adjacent side are 12 and 10 cm respectively find its diagonal
Answer: go to my page and get your points back but get the app socrative is way better than brainly please it helps and save time then comeback and tell me how you like it just want to help I am leaving brainly because socrative is way better
Step-by-step explanation:
These reverse processes are both part of
Answer:
you forgot the picture
Step-by-step explanation:
Please put a picture
4.) At an ice cream shop the ratio of chocolate ice cream cones to vanilla ice cream
cones sold is 5 to 3. Using this ratio, if 25 chocolate ice cream cones are sold in a
day, how many vanilla were sold that same day. Draw, label and use a tape diagram or
other method that you've been taught to solve. Write your answer in sentence
form.(2pt)
Answer:
15 vanilla ice cream cones were sold.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340
Mr. Earl E. Bird leaves his house for work at exactly 8:00 a.m. every morning. When
he averages 40 miles per hour, he arrives at his workplace three minutes late. When
he averages 60 miles per hour, he arrives three minutes early.
Answer:
50 miles per hour
Step-by-step explanation:
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
*i had trouble wording that so yeah sorry about that*
f(x)=x2−2x−4 and g(x)=45x−2
Select all answer choices that best represent solutions to the equation f(x)=g(x).
A. x=3.4
B. x=−0.6
C. x=−1.2
D. x=2.5
E. x=−1.9
Answer:
x=3.4 and x=2.5
Step-by-step explanation:
i took an exam and got it right
can you help me with this.
9÷691 but hurry up
Answer: .013
Step-by-step explanation:
A professor wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of 30. In how many ways can the prizes be awarded (assume no two students tie)
Answer:
[tex]Selection = 17100720\ ways[/tex]
Step-by-step explanation:
Given
[tex]Students = 30[/tex]
[tex]Positions = 5[/tex] i.e. first to fifth
Required
Determine number of selection
1st position = Any of the 30 students
2nd position = Any of the 29 students
3rd position = Any of the 28 students
4th position = Any of the 27 students
5th position = Any of the 26 students
Number of selection is then calculated as:
[tex]Selection = 30 * 29 * 28 * 27 * 26[/tex]
[tex]Selection = 17100720\ ways[/tex]
Convert the measurement. 5 days = sec
Answer:
5days = ? sorry I don't understand sorry
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Every day has 24 hours .
Every hour has 60 minutes .
Every minute has 60 seconds.
Thus ;
[tex]5 \times 24 \times 60 \times 60 = 120 \times 60 \times 60 = \\ [/tex]
[tex]2 \times 60 \times 60 \times 60 = [/tex]
[tex]2 \times {6}^{3} \times {10}^{3} = [/tex]
[tex]2 \times 216 \times 1000 = [/tex]
[tex]432 \times 1000 = [/tex]
[tex]432,000 \: \: \: seconds[/tex]
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What is the y-coordinate of the point that divides the
directed line segment from J to K into a ratio of 2:3?
min live - va) + v1
-6
-5
5
7
Answer:
C. 5Step-by-step explanation:
The equation is given:
y = (m/(m+n))(y2 - y1) + y1Since directed line segment from J to K, m = 2, n = 3, y1 = 1, y2 = 11. Plug in numbers:
y = (2/(2+3))(11 - 1) + 1 = (2/5)(10) + 1 = 4 + 1 = 5Correct choice is C. 5
12. How much combined snowfall was there
in Milwaukee and Oklahoma City?
105.1 You simply find the amount fomr each and add them up hope this helped.
HELP ME PLEASEEEEEESS
Answer:
b
Step-by-step explanation:
Bill makes $30.00 per day. He makes twice as much as hack makes before jacks salary was doubled. How much does jack make now?
Answer:
$30.00
Step-by-step explanation:
Jack's original salary before it was doubled was $15.00 per day.
Let's assume Jack's original salary is "x" dollars per day.
According to the given information, Bill makes $30.00 per day, which is twice as much as Jack made before his salary was doubled. So, before Jack's salary was doubled, he made "x" dollars per day.
After Jack's salary was doubled, he makes 2 * x = 2x dollars per day.
Now, we know that Bill makes $30.00 per day, which is equivalent to the new salary of Jack after it was doubled.
So, we can set up an equation:
2x = $30.00
To find the value of "x," we can divide both sides by 2:
x = $30.00 / 2
x = $15.00
Therefore, Jack's original salary before it was doubled was $15.00 per day.
To know more about Multiplication here:
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M=3 (-4,-7) PLease include steps!!( I will give brainliest)
Answer:
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
what is a prime factor
Solve for X.
8=5
X 9
Answer: x = 14.4
Step-by-step explanation:
Answer:
x = 14.4Step-by-step explanation:
8/x = 5/9 just cross multiply
5x = 8(9)
x = 72/5 divide 5 both sides
x = 14.4
How do you do these questions?
Answer:
-x¹⁴ / 5040
-½ < x < ½
Step-by-step explanation:
f(x) = e^(-x²)
The Taylor series for eˣ centered at 0 is:
eˣ = ∑ (1/n!) xⁿ
Substitute -x²:
e^(-x²) = ∑ (1/n!) (-x²)ⁿ
e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ
The 14th degree term occurs at n=7.
(1/7!) (-1)⁷ x¹⁴
-x¹⁴ / 5040
ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n
If we substitute 4x²:
ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n
Using ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1
lim(n→∞)│-1 (4x²) n / (n+1)│< 1
4x² < 1
x² < ¼
-½ < x < ½
a spring stretches to 18 cm with a 70 g weight attachment to the end. with a 100 g attached, it stretches to 24 cm . which equation models the distance y the spring stretches with weight x attached to it?
Answer:
Yes it is y=1/5x+4
Step-by-step explanation:
Solve this Literal Equation
Solve for x
E=[tex]\frac{ab}{x^2}[/tex]
solve inequality.
[tex] | - k - 7| \geqslant 4[/tex]
Answer: k [tex]\leq \\[/tex] -11 or k [tex]\geq[/tex] -3
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1? 5,–1, –7, –13, –19,
Answer:
sorry not having idea about the answer
Answer:
Hello,
f(n)=f(n-1)+6
Step-by-step explanation:
Given the function f(x)=3(x+2)-4, solve for the inverse function when x=2.
A) -4
B) 0
C) 4
D) 8
Answer:
Maybe the Answer will be Zero
0
Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book?
16 hours
18 hours
24 hours
32 hours
A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
0.5 cm
4.5 cm
75 cm
225 cm
The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
$10.00
$10.50
$13.50
$16.00
Step-by-step explanation:
1. 200 = 10h
320 =
320x10 / 200
= 16h
2. 1.5 = 50m
x = 150 m
150x1.5 / 50
= 4.5cm
3. 4$ = 40balls
x = 100balls
100x4 / 40
= $10
A bowling ball is dropped from a height of 50 feet. Write a function that gives the height h (in feet) of the bowling ball after 5 seconds. Find the height of the bowling ball after 1 second. How long does the bowling ball take to hit the ground? Round your answer to the nearest hundredth of a second.
Answer:
Step-by-step explanation:
Let sets A and B be defined as follows.
A is the set of integers greater than - 7 and less than - 3
B={c, h, j, k, v, y}
(a) Find the cardinalities of A and B.
n(A) = ? n(B)= ?
(b) Select true or false.
True
False
-6E A
-14 EA
k E B
Q E B
The E is the signal used not the actual letter E
Answer:
n(A) = 3
n(B) = 6
-6 ∈ A => True
-14 ∈ A => False
k ∈ B=> True
Q∈B = >False
Step-by-step explanation:
Given
A is the set of integers greater than - 7 and less than - 3
B={c, h, j, k, v, y}
For set A:
The integers greater than -7 will be -6,-5 ....
As the set has integers less than -3, the set will be:
[tex]A = \{-6,-5,-4\}[/tex]
Cardinalities:
Cardinality is the number of elements in the set.
So,
[tex]n(A) = 3\\n(B) = 6[/tex]
Now for the statements:
-6 ∈ A True as -6 is a member of set A
-14 ∈ A False as -14 is not a member of A
k ∈ B True
Q∈B False
Hence,
n(A) = 3
n(B) = 6
-6 ∈ A => True
-14 ∈ A => False
k ∈ B=> True
Q∈B = >False
what is the x intercept of the line
Answer:
Hey man! Please upload a picture of your line and I'll hapily find the x intercept. If you can't the way to find an x intercept is to see where the x is zero and find what the y is so (0,y)
The length of a rectangle is four times its width. Twice the perimeter of that rectangle is 160 cm. Find
the length and width of that rectangle. pls answer fast
Answer:
Step-by-step explanation:
Given twice the perimeter of rectangle =160
Let width of the rectangle=X
So length of the rectangle =4x
2(perimeter of rectangle)=160
2[2(length+width)]=160
4(4x+x)=160
5x=160/4
5x=40
X=40/8
X=5cm
So length of the rectangle =4x
=20cm
Width of the rectangle =X
=5cm.
Length = 4*5 = 20 cm
Width. = 4 cm.
