Answer:
y = (3/8)x - 1.5
Step-by-step explanation:
Use the slope-intercept form y = mx + b. Substitute -1.5 for b, 4 for x and 0 for y. Then: 0 = m(4) - 1.5, or
4m = 1.5, or
The slope is m = 1.5/4, or m = 0.375, or m = 3/8.
Note that the x-intercept can be treated just like any other point: (4, 0)
Then the desired equation is y = (3/8)x - 1.5
Answer:
[tex]\boxed{y=\frac{3}{8} x-1.5}[/tex]
Step-by-step explanation:
Part 1: Determining slope from two given points
We are given the points [tex]x=4[/tex] and [tex]y=-1.5[/tex]. We can go ahead and make the first part of the equation because we are given one of the unknowns (the y-intercept, or [tex]b[/tex]). The equation becomes [tex]y=mx-1.5[/tex].
Part 2: Determine the coordinate points
[tex]x=4[/tex] is a x-intercept, meaning it crosses the x-axis at this point. The y-value is [tex]0[/tex] ⇒ [tex](4, 0)[/tex] is the first point.
[tex]y=-1.5[/tex] is a y-intercept, meaning it crosses the y-axis at this point. The x-value is [tex]0[/tex] ⇒ [tex](0, -1.5)[/tex] is the second point.
Now, plug these values into the point-slope formula: [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-1.5 - 0}{0 - 4}[/tex][tex]m = \frac{-1.5}{-4}[/tex][tex]m = \frac{3}{8}[/tex]Plug this information into the equation to get your final answer of [tex]\boxed{y=\frac{3}{8} x-1.5}[/tex].
What is the solution to the system of equations below? y = negative one-third x + 6 and x = –6
Answer:2
26x + y = 23 → y = 23 – 6x.
7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2
the letter v has an unknown value. If you multiply v by ten, the product is two . What value does v have?
Answer:
0.2
Step-by-step explanation:
10v=2
v=2/10
v=0.2
Compare 6 ⋅ 108 to 3 ⋅ 106. 6 ⋅ 108 is 2,000 times larger than 3 ⋅ 106. 6 ⋅ 108 is 200 times larger than 3 ⋅ 106. 6 ⋅ 108 is 20 times larger than 3 ⋅ 106. 6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
Answer:
[tex]\boxed{Option \ 2}[/tex]
Step-by-step explanation:
[tex]6*10^8\\=> 600000000[/tex]
[tex]3*10^6\\=> 3000000[/tex]
Dividing both
=> 600000000 ÷ 3000000
=> 200
So,
[tex]6*10^8[/tex] is 200 times larger than [tex]3* 10^6[/tex]
Answer:
[tex]\boxed{\mathrm{Option \: 2}}[/tex]
Step-by-step explanation:
[tex]6 \times 10^8 = 600000000[/tex]
[tex]3 \times 10^6 =3000000[/tex]
[tex]\frac{600000000}{3000000} =200[/tex]
6 × 10⁸ is 200 times larger than 3 × 10⁶.
Which function is graphed?
Answer:
the answer is the last one
Step-by-step explanation:
it is in form of f(x) = mx + b and mx is the slope and b is the y intercept
Answer:
f(x)= 2x - 6
Step-by-step explanation:
QUESTION 10
What is the slope of a line that is parallel to the line
2y = 3x - 5
Answer:
Slope: 1.5
Step-by-step explanation:
We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.
Answer:
m = 3/2
Step-by-step explanation:
2y = 3x - 5
First find the slope of this line
Divide by 2
2y/2 = 3x/2 - 5/2
y = 3/2 x - 5/2
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept
The slope is 3/2
Parallel lines have the same slope
m = 3/2
Does coordinate c or coordinate d represent a greater number?
Answer:
Coordinate D
Step-by-step explanation:
Find 4 1/5 · 7 2/3 . a. 32 1/5 b. 32 3/5 c. 28 2/15 d. 28 3/10
Answer:
Hey there!
4 1/5 · 7 2/3= 32 1/5
Hope this helps :)
Answer:
32 1/5
Step-by-step explanation:
4 1/5 * 7 2/3
Change to improper fractions
( 5*4+1)/5 * ( 3*7+2)/3
21/5 * 23/3
Rewriting
21/3 * 23/5
7 * 23/5
161/5
Change back to a mixed number
5 goes into 161 32 times with 1 left over
32 1/5
D
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box, Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan Click the trashcan to clear all your answers.
Solve by factoring
x2 + 6.9. Hint. This is a double root.
3
9
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Answer:
–3 and –3
Step-by-step explanation:
x² + 6x = – 9
Rearrange
x² + 6x + 9 = 0
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, we shall find two factors of 9x² such that when we add them together, the result will be the same as the 2nd term i.e 6x in the expression above.
The factors are 3x and 3x.
Next, we shall replace 6x with 3x and 3x in the equation above as shown below:
x² + 6x + 9 = 0
x² + 3x + 3x + 9 =0
Factorise
x(x + 3) + 3(x + 3) = 0
(x + 3)(x +3) = 0
x + 3 = 0 or x + 3 =
x = – 3 or x = – 3
Therefore, the solutions are –3 and –3
Select all the examples of categorical data.
colors
number of siblings
favorite pet
profits
genre of music
Answer:
The answer is colors, genre of music, favorite pet
Step-by-step explanation:
In the school election, votes were cast for Sam, Mary, and Bill in the ratio 4:3:2. If a total of 2178 votes were cast, how many votes did Mary receive?
Answer:
Step-by-step explanation:
Mary received 726 votes.
Complete the point-slope equation of the line through ( − 1 , − 10 )and (5 , 2) y-2 =?
Answer:
y - 2 = 3(x - 5).
Step-by-step explanation:
We need to find the slope of the line.
[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2
So, y1 = 2, x1 = 5, and m = 2.
y - 2 = 3(x - 5)
Hope this helps!
The formula for point slope is written as y - y1 = m(x -x1)
You are given y - 2 = ?
Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1
The formula becomes: y-2 = m(x-5)
Now solve for the slope, which is the change in y over the change in x:
Slope = -10 - 2 / -1 - 5 = -12/-4 = 3
Now replace m to get y-2 = 3(x-5)
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.
Answer:
171
Step-by-step explanation:
If five test scores have a mean of 90, then the total 5x90=450. We already have the middle score (91) and the two top scores (94 and 94). So the equation is 450-91-94-94=171
Please help asap! i will marl brainliest for correct answers!
Answer:
The histogram would be "flat" or "uniform."
Step-by-step explanation:
For the drawings to be "fair," all numbers must have an equal probability of being selected.
Answer:
The histogram would be uniform
Step-by-step explanation:
for the histogram to be uniform,all the numbers should have an equal probability of being selected.thus, all the numbers should have the same opportunity of being selected for the winning numbers
Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.
Hi there, again! Hopefully this helps, again!
------------------------------------------------------------------------------------------------------------
Since she has 3 coats, 2 scarfs, and 1 glove:
She has 6 ways to choose a coat, a scarf, and a glove(s).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My 6 combinations:
1.) Red coat, black scarf, white glove(s).
2.) White coat, grey scarf, white glove(s).
3.) Pink coat, black scarf, white glove(s).
4.) Red coat, grey scarf, white glove(s).
5.) White coat, black scarf, white glove(s).
6.) Pink coat, grey scarf, white glove(s).
Carlos creates a basic budget using the equation Money Left Over = a - b - C, where
Income = a, Needs b, and Wants = c. His monthly income is $3210, his mortgage
payment is $1350, and he spends an additional $950 each month on groceries, utilities, and
insurance. Finally, he buys four concert tickets for $300.
Which amount represents his needs?
Answer:
$2300
Step-by-step explanation:
Carlos's needs will include ...
mortgage: $1350groceries, utilities, insurance: $950These total $2300.
Carlos's needs amount to $2300 per month.
Answer:
$950
This is because he needs groceries, utilities, and insurance.
The pyramid has a height of 10 in and a square base with side lengths of 16 in. What is the slant height?
Answer:
26 is what I'm guessing
this is the question pls help me 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.
Answer:
[tex]\frac{n}{4}-1[/tex]
Step-by-step explanation:
If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.
Now, Harris is one of those friends so he receives [tex]\frac{n}{4}[/tex] slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].
Hope this helped!
Answer:
(n/4 - 1) slices
Step-by-step explanation:
The pizza would be divided into n slices, which in turn would be split among 4 people:
n slices
----------------- = (n/4) slices per person
4 people
Harris must have eaten (n/4 - 1) slices.
PLEASE HELP ME I DONT UNDERSTAND THIS QUESTION
I attached a picture to this
3/7 of the people who live in the apartment building are men. 5/8 of the remaining people are women. The rest are children. a total of 275 men and women live in the building. How man people live in the apartment building altogether?
Answer:
Step-by-step explanation:
people in building ---- x
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x
y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280
So we have 280 people in the building.
check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women
so we have 120 men, 100 women and 60 children!
BEST ANSWER GETS BRAINLIEST, PLZ ANSWER!!!!
Answer:
they both = 100
Step-by-step explanation:
HELPPPP HURRYYYYYYY A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles, and 6 blue marbles. Predict how many green marbles are in the bag.
Answer:
75 green marbles
Step-by-step explanation:
From the information given in the question, we can create a ratio representing all the marbles in the bag.
9 red:15 green:6 blue
We need to find the total number of times the student drew a marble by finding the sum
9+15+6= 30
The sample size is 30
150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles
9x5=45
15x5=75
6x5=30
Now we have 45 red: 75 green: 30 blue
Based on the given information, we can predict that the bag contains 75 green marbles
50 points Simplify the expression. sin^2 theta/csctheta tan^2theta a. sin^2 theta b.sin cos^2 theta c.sec^2 theta d. csc theta
Answer:
B. sin(theta) cos^2(theta)
Step-by-step explanation:
sin^2(theta) / csctheta tan^2(theta)
To solve, we convert to sine and cosine and then simplify.
means by the priority of operators (* and / from left to right)
(sin^2(theta) / csctheta) * tan^2(theta)
= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2
= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)
= sin^5(theta) / cos^2(theta)
which obviously does not correspond to any of the answers.
IF the expression were missing parentheses in the denominator, then it becomes:
sin^2(theta) / (csctheta tan^2(theta))
= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))
= sin^2(theta) / (sin(theta)/cos^2(theta)
= sin(theta) cos^2(theta)
which corresponds to answer B.
Answer:
[tex]\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}[/tex]
Step-by-step explanation:
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }[/tex]
Simplify the expression.
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }[/tex]
[tex]\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }[/tex]
A spinner has 8 options and a bag
has 9 numbered marbles. You spin
the spinner once and randomly pull
1 marble. Whal is the PROBABILITY
of spinning the number 4 and
pulling an even number?
Answer:
1/18
Step-by-step explanation:
Spinner: 1 out of 8
Even number: 4 out of 9
1/8x4/9=4/72 = 2/36 = 1/18
Hillary has to drive 225 miles in four and a half hours. What should her average speed be in order to arrive on time? 56 mph 45 mph 50 mph 48 mph
Answer:
50 mph
Step-by-step explanation:
225 in 4.5 Hours
1 Hour - 50 miles
(225 ÷ 4.5 = 50)
Hope this helps.
Answer:
50mph
Step-by-step explanation:
To figure this out you would just have to divide the number of miles which is 255 by the number of hours which is 4.5 and you would get 50mph.
The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A'B'C'? A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin
Answer:
A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right
Step-by-step explanation:
Answer:
translation down 5, rotation 180°
Step-by-step explanation:
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards? Four-thirds StartFraction 7 over 9 EndFraction StartFraction 9 over 7 EndFraction Three-fourths
Answer:
9 over 7 end fraction three-fourths
Step-by-step explanation:
The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long.
Now,
Since, Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long.
So, The length of the 7 smaller boards = 9 1/3 ÷ 7
= 28/3 ÷ 7
= 28/3 × 1/7
= 4/3 feet
Thus, The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
Learn more about the divide visit:
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QUESTION 8
Simplify the expression
(5-4 (25)2
expressing the answer as a power of 5
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be? Translate into an algebraic expression and simplify if possible.
Answer:
4y miles
Step-by-step explanation:
Max : x miles per hour
Sven: y miles per hour slower
x-y is the speed for Sven
We know that distance = speed * time
Distance for Max = x*t
Distance for Sven = (x-y) * t = xt - yt
The difference in distance is Max's distance minus Sven's distance
xt - ( xt-yt)
xt - xt +yt
yt
Max is yt miles ahead where t is the time
The time is noon to 4 which is 4 hours
Changing t to 4
The distance ahead is 4y miles
help me meeeeeeeeeeee
Answer:
15 pupcakes
Step-by-step explanation:
Purple is 1 out of 4 sections
1/4 times the number of total pupcakes
1/4 * 60
15
Can you pleease help ill mark as brainliest
Answer:
Step-by-step explanation: