in a certain urban area, the relationship between number of students, x in thousands, and the umber of schools, y , has an x-intercept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form

Answers

Answer 1

Answer:

[tex]\sf -3x+4y=12[/tex]

Step-by-step explanation:

x-intercept is when y = 0   →   (-4, 0)

y-intercept is when x = 0   →   (0, 3)

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{3-0}{0-(-4)}=\dfrac34[/tex]

Substitute one of the points and the found slope into the point-slope form of a linear equation:

[tex]\implies \sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=\dfrac34(x-(-4))[/tex]

[tex]\implies \sf y=\dfrac34(x+4)[/tex]

[tex]\implies \sf 4y=3(x+4)[/tex]

[tex]\implies \sf 4y=3x+12[/tex]

[tex]\implies \sf -3x+4y=12[/tex]


Related Questions

id
11. A chessboard has diagonals of length
40 cm. What is the length of each side of the
board, to the nearest tenth of a centimetre?
Explain your reasoning.

Answers

Answer:

√800 = 28 cm

Step-by-step explanation:

Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.

You now have 2a2=402.

Start solving it:

2a2=402

2a2=1600

(2a2)/2=1600/2

a2=800

√(a2)=√800

a=√800 cm

You can plug this back in to check your answer, and also be sure that a=b is true.

a2+b2=c2

(√800)2+(√800)2=c2

800+800=c2

1600=c2

√1600=√c²

40=c

Find the missing sides

Answers

Answer:

i believe _=6 (the horizontal side, as it says on the picture,) | = 6 (the vertical side,) and \ = 8.48 (the diagonal)

Step-by-step explanation:

To find the diagonal, you have to use the Pythagorean Theorem, which is a^2 + b^2 = c^2

So, a and b both equal 6, square both of those, you got 36 for each.

Now, add them together and youll get 72

The square root of 72 is around 8.48

Although, im not entirely sure if thats correct or not, so i wouldnt really recommend putting this as your answer :|

Write the phrase “the sum of 3 times a number and 5” as a mathematical expression.

Answers

Answer:

[tex](3*x)+5[/tex]

Step-by-step explanation:

Let the variable x equal "a number"

The phrase times means we multiply the variable x by the constant 3.

The phrase sum of means we add the constant 5 to the term (3 * x).

[tex](3*x)+5[/tex]

Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol

(b) An Investment is estimated to grow at the rate al 15% per annum. If the worth of the Investment now is ¢850,000 i. What will its worth be in the 6th year? What is the percentage increase in its worth after 6th year? In what year will the investment worth ¢3.23million ?​

Answers

Answer:

~9.6 years it will be worth 3.23 mil.    

Step-by-step explanation:

This problem requires use of the growth formula.

PART 1:

Equation:

[tex]3,230,000 = 850,000 * (1.15)^6[/tex]

By solving this you get:

A valuation of $1,966,101.65078125 after 6 years

PART 2:

Equation:

[tex]3,230,000 = 850,000*(1+.15)^x[/tex]

By solving this (which im too lazy to show the steps for) you get:

x = years

x = ~9.6 years / 9.55196417 years

A line has a slope of 2 and a y-intercept of -3/4 which of the following is an equation of the line​

Answers

Answer:

y = 2x - 0.75

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

m being the slope and b being the y-intercept.

The given slope and y-intercept:

⇒ Slope ⇒ 2

⇒ Y-intercept ⇒ -3/4

Plug in:

⇒  y = 2x - 0.75 (3/4)

What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.

Answers

Answer:

-2/5

Step-by-step explanation:

5x - 2y = -10

-2y = -5x - 10

y = 5/2x + 5

m = 5/2

Perpendicular lines have slopes that are negative reciprocals of one another. For example, 5 would become -1/5 and 1/3 would become -3.

If m = 5/2

Perpendicular line m = -2/5

Hope this helps!

Answer:

The slope of the line perpendicular to this line is -2/5.

Step-by-step explanation:

5x - 2y = -10

Let's simplify this equation to be in slope-intercept form: y = mx + b.

Start by adding 2y to both sides of the equation.

5x = -10 + 2y

Next, add 10 to both sides of the equation.

5x + 10 = 2y

Divide both sides of the equation by 2.

(5x + 10)/2 = y (5/2)x + 5 = y

The slope of this line is the coefficient of x; in this case, it is 5/2.

If we want to find the slope of the line perpendicular to this line, we take the opposite (change the sign) reciprocal (flip the fraction).

The slope 5/2 becomes -2/5.

Therefore, the slope of a line perpendicular to the line whose equation is 5x - 2y = -10 is -2/5.

BRAINLLY!!! PLEASE HELP I'll GIVE BRAINLY!!!!

Answers

Answer: 495

Step-by-step explanation:

Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.

Since we know the two triangular ends are not covered, this actually makes the problem easier.

Going with our definition of surface area above, we do:

(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495

Our answer is 495

Answer:

C: 495ft²

Step-by-step explanation:

You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)

Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft

5 * 16.5 = 82.5

Now the rectangle on the right side.

13 * 16.5 = 214.5

Now the left or back side rectangle.

12 * 16.5 = 198

Now add these values together

82.5 + 214.5 + 198 = 495ft²

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

Blue stars are the hottest stars.

Solve for x

2x3=x2+6x

please help me. Thanks

Answers

Answer:

heya! ^^

[tex]2x {}^{3} = x {}^{2} + 6x \\ \\ 2x {}^{3} = x(x + 6) \\ \\ dividing \: both \: sides \: by \: x \\ \\ \frac{2\cancel{x} {}^{3} }{\cancel{x}} = \frac{\cancel{x}(x + 6)}{\cancel{x}} \\ \\ 2x {}^{2} = x + 6 \\ \\ 2x {}^{2} - x - 6 = 0 \\ \\ by \: splitting \: the \: middle \: term \: ( - x) \\ \\ 2x {}^{2} - 4x + 3x - 6 = 0 \\ \\ 2x(x - 2) + 3(x - 2) = 0 \\ \\ 2x + 3 = 0 \: \: \: or \: \: \: (x - 2) = 0 \\ \\ x = \frac{ - 3}{2} \: \: \: \: or \: \: \: \: x = 2[/tex]

hope helpful :D

((BEING TIMED))
A car dealership increased the price of a certain car by 11%. The original price was $33,800.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal. (New price = x Original price)
(b) Use your answer in part (a) to determine the new price.

Answers

Answer:

A 37,518

Step-by-step explanation:

this is because you take 11% of 33,800 which is 3,718 and add that back too your orignial value which gives you 37,518. I think that also answers part B for you.

Identify the indicated angles as Adjacent, vertical, linear, or complimentary

Answers

Angles A and B are vertical angles
This is an vertical angle, because the angles are opposite eachother

Multiply.


8×3/5


Enter your answer as a mixed number in simplest form by filling in the boxes.


$$

Answers

Answer:8x3/5=4.8

Step-by-step explanation:

Answer:

in simple form its 4.8

for a improper fraction its 43/5

I will comment for the mixed number but if this is correct can u mark me brainliest

50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left

4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!

Answers

#1

Clockwise 90° rotation rule (x,y)—»(y,-x)

X'=(4,-2)Y'=(-3,-5)Z'=(1,7)

#2

Dilation of scale factor 2

X''=(4×2,-2×2)=(8,-4)Y''=2(-3,-5)=(-6,-10)Z''=2(1,7)=(2,14)

#3

reflection across x axis rule (x,y)—»(x,-y)

X'''=(8,4)Y'''=(-6,10)Z"'=(2,-14)

#4

Rule for given translation (x-5,y+2)

X""=(8-5,4+2)=(3,6)Y""=(-6-5,10+2)=(-11,12)Z""=(2-5,-14+2)=(-3,-12)

Answer:

Given points:

X = (2, 4)Y = (5, -3)Z = (-7, 1)

Part (a)

Rotate 90° clockwise (about the origin): (x, y) → (y, -x)

X' = (4, -2)Y' = (-3, -5)Z' = (1, 7)

Part (b)

Dilation by a scale factor → multiply the points by the scale factor

scale factor = 2

X'' = (8, -4)Y'' = (-6, -10)Z'' = (2, 14)

Part (c)

Reflect across the x-axis:  (x, y) → (x, -y)

X''' = (8, 4)Y''' = (-6, 10)Z''' = (2, -14)

Part (d)

Translate 2 up and 5 to the left:  (x, y) → (x - 5, y + 2)

X'''' = (3, 6)Y'''' = (-11, 12)Z'''' = (-3, -12)

2root 3 + root 3 is equal to?

Answers

Answer:

i believe the answer is C

Step-by-step explanation:

Answer:

(C) 3√3

Step-by-step explanation:

Think of √3 as x.

Then 2x + x = 3x, so

2√3 + √3 = 3√3

Classify the following triangle as acute, obtuse, or right.
A. Obtuse
B. Acute
C. Right
D. None of these

Answers

Answer: this is a acute triangle

Step-by-step explanation: acute triangle angles are all less than 90°

can someone help me with this please

Answers

Answer:

perspective

I hope this helps you

:)

Which of the following algebraic expression represents 2 less than 3 lots of n? (A) - (B) (C) 3(n - 2) 2 – 3n 3 + n - 2 3n - 2 (D)​

Answers

Answer:

D

2 less than means 2 to be subtracted3lots of n means 3 to be multiplied with n i.e 3n

Hence the expression is 3n-2

pls help me i will mark as brilliant​

Answers

Step-by-step explanation:

total number of student = 900number of girls = 300

1) to find the number of boys

number of boys = total no. of students - no. of girls

= 900 - 300

= 600

2) to find the ratio of boys and girls

ratio of boys and girls = no. of boys : no. of girls

= 600 : 300

= 200

3) ratio of boys and total no. of students

= 600 : 900

= 200: 300

= 2:3

4) ratio of girls and total no. of students

= 300 : 900

= 1:3

5)ratio of girls and boys

= 300 : 600

= 1:2

I think of a number, add 5,then square the answer. The result is 100. What could the number be?

x=
x=

Answers

Answer:

x = 5

x = -15

Explanation:

Let the number be "x"

===================

(x + 5)² = 100x + 5 = ±√100x + 5 = ±10x + 5 = 10, x + 5 = -10x = 10 - 5, x = -10 -5x = 5, -15

Answer:

x= 5 or -15

Step-by-step explanation:

let the number be x

(x+5)^2=100

x^2+10x+25=100

x^2+10x-75=9

look for factors of 75 that when you gives you 10 and when you multiply gives you -75

those factors are 15 and -5

replace 10x with 15x and -5x

x^2+15x-5x-75=0

then group them, and factorize

x(x+15)-5(x+15)=0

x-5=0 or x+15=0

x= 5 or x= -15

What net is shown below?
triangular prism
rectangular prism
O square pyramid
triangular pyramid

Answers

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

rectangular prism because it has dimensions of 5 sides and if you fold it, it would turn into a rectangular prism

Can y’all figure out the answer for me please

Answers

The answer is A. True.

Hope this helps

Answer:

True

Step-by-step explanation:

Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...

Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2 .

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

REMEMBER:

The new line will be parallel to the line represented by y =2x +2

⇒ The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:
⇒ y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

⇒ 3 = 2 * (-1) + b

⇒ 3= -2 + b

⇒ b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:

⇒ y = 2x + 5

Answer:

y = 2x + 5

Step-by-step explanation:

Given line equation 2x - y + 2 = 0

Equation of line parallel to this line will be of form

=> 2x - y + k = 0 ( where 'k' is a constant )

Now this line passes through (-1,3)

=> 2(-1) - (3) + k = 0

=> -2 - 3 + k = 0

=> k - 5 = 0

=> k = 5

Therefore the required line equation is 2x - y + 5 = 0 or y = 2x + 5

Hope you've understood the solution.

solutions answer equations ​

Answers

Answer:

x² - 6x = 7

x² - 6x + 9 = 7 + 9

(x - 3)² = 16

x - 3 = ± 4

x - 3 = 4 and x - 3 = -4

x: {-1, 7}

Largest value of x = 7

Smallest value of x: -1

I hope this helps!

Write the equation in slope-intercept form. y=−5(x+6)+2x

Answers

Answer:

y = −3x −30

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

y = −5(x + 6) + 2x <== distribute -5

y = −5(x) + −5(6) + 2x

y = −5x −30 + 2x <== combine like terms

y = −3x −30

y = −3x −30

-3 = slope-30 = y-intercept (0, -30)

Hope this helps!

I know that the answer is 27 and that 3 + x = 7 but where do you get 4?

Answers

Answer:

27

step by step explanation

if you are calculating for the area of the figure, divide the shape into two figures and you will get two rectangles

for shape 1

length=3 width=5

for shape2

length 7-3=4

width=3

area of shape1. =3×5=15

area of shape2. =4×3=12

area of the shape= 12+15 = 27

which term describes the point where the three medians of a triangle intersect?

Answers

Answer: It is the centroid of a triangle or A. Centroid  

Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)

The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.

The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.

PLEASE I’LL MARK BRAINIEST

Simplifying expressions by combining like terms

2t - t - t + 5t + 6t + 10t

Answers

21(t)

Explanation:

[tex]\dashrightarrow \sf \ \ 2t-t-t+5t+6t+10t[/tex]

combine similar terms

[tex]\dashrightarrow \sf \ \ 5t+6t+10t[/tex]

addition

[tex]\dashrightarrow \sf \ \ 21t[/tex]

Answer:

21t

Step-by-step explanation:

2t-t-t+5t+6t+10t

=2t-t-t=0

Then,

         5t+6t+10t = 21t ans.

A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1 % from 2014 to 2015. Which expression represents a strategy for estimating the total output of wheat, in tons, in 2015?

Answers

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

An ellipse has focused F1 (-2,4) and F2 (0,7) and the point (4,4) is on the ellipse. Identify the constant sum for the ellipse.

Answers

Answer:

please solve this quickly tommorow is my maths exam

Answer:

11

Step-by-step explanation:

The measures of two angles of a triangle are 29° and 61°. Is the triangle​ acute, right, or​ obtuse? Use geometric terms in your explanation.

Answers

Sum of all angles of triangle = 180
x + 29 + 61 = 180
x + 90 = 180
x = 180 - 90

Other angle = 90
As one of the angle is 90, the triangle is right angles triangle
Other Questions
Pls help with number 3 Solve for Y fs X=7. Y1/14x-3/2 Can anyone please solve this? I need it to be right. What is the area of this figure? 4 cm 5 cm 5 cm Two brothers decided to bike to visit their grandma who lived 12 miles away. One of them biked at speed 8 mph and then he waited for his brother for 30 minutes. What was the speed of the second brother? Whats the area of a circle that has a 8mm dimeter using 3.14 of pi What is 28xy + 38xy - 6y factored? __________________ was a major accomplishment of both tutankhamun and rameses ii. a. uniting the kingdoms of upper and lower egypt b. creating and improving egyptian common law practices c. encouraging the following of ancient religious beliefs among the egyptian people d. improving the wealth and image of egypt please select the best answer from the choices provided a b c d An airplane flies with a constant speedof 820 miles per hour. How far can ittravel in 3 1/2 hours? In the Linux boot process, the master boot record (MBR) loads a(n) __________ program, such as GRUB or LILO Which are pathways in the Marketing, Sales, and Service career cluster? Select all that apply.Marketing Information Management and ResearchMarketing Communications and PromotionProfessional Sales and MarketingBuying and MerchandisingDistribution and LogisticsE-MarketingManagement and EntrepreneurshipSoftware Design and Distribution Which value represents |26|?OA) -26OB) OOC) 26OD) 126 Which of the objects below best holds 1 gallon? A. bathtub B. milk jug C. measuring cup O D. glass of water Drag the detail into the box that best supports the idea that service dogs provide important holp for people inneed(No links pleaseeeeeeeeeee help) A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?Use 3.14 for [tex]\pi[/tex] , and do not round your answer. If 32.00 mL of a solution of Ca(OH)2 requires 16.08 mL of a 2.303 M solution of HNO2 for complete titration, what is the molarity of the Ca(OH)2 solution? The table shows the possible outcomes of spinning the givenspinner and tossing a fair coin. find the probability of spinning a 1 and tossing ahead.5341 2 3 4 5h1,h2,h 3, 4, 5,ht 1, 2, 3, t4, t5,tthe probability of spinning a 1 and tossing a head is Corey deposits $3500 a bank which pays 3%interest per year. How much money will John have inhis account after 10 years? Bad choices create stress. True or false? Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day,at most. It takes him 15 minutes to design a T-shirt and an hour to design apair of shorts. He must design at least 12 items each day, but he cannotdesign more than 20 items in one day. Which set of inequalities belowrepresents this scenario?A. S 2 12-tss 20 - ts 12 -0.25t, s 2 0; t2 0B. s2 12-t, ss 20-t, ss 12 -0.25t, s 0;t20O C. s2 12-t s2 20-t ss 12 -0.25t, s 2 0;t2 0D. s2 12+ tss 20 + tss 12 -0.25t, s 0,20