A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answer:

You save $0.09 at Quick Mart for price per apple

Step-by-step explanation:

Quick mart = 1.17/3 = $0.39 per apple

Shop & Save = $0.48

$0.39 - $0.48 = $0.09

You save $0.09 per apple at Quick Mart

-Chetan K

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

94.2 cubic centimeters is the approximate volume of water in Anju's cup.

To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:

Volume = (1/3) × π × r² × h

Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.

The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.

Substituting these values into the formula:

Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)

Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm

Volume = 12.56 cm² × 7.5 cm

Volume = 94.2 cm²

Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).

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Answer:

yes

Step-by-step explanation:

if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.

Answer:

Pentagon (the 5 sided shape) = 1

Cross-looking shape = 6

Star = 8

Square/Rectangle = 5

Hope this helps!

That would be linear because its going at a constant rate of change

Answer:

x=4

y=5

Step-by-step explanation:

because this lines are all parallel, so 17x-y equals to 180°-117°= 63, then you get 17x-y = 63

also, equally you can get the below one

6x+7y = (180°-121°)

6x+7y = 59.

put them together

17x-y=63 (1)

6x+7y =59 (2)

you can transform the (1) to y= -(63-17x)

then you get the second one

6x+7(-(63-17x))=59

then you get x

finally you get the result of x into any of the equation

you get y ultimately.

Answer:

5/2

Step-by-step explanation:

alternative = 2 1/2 , 2.5

m = (Y2 - Y1)/(X2 - X1)

m = (1 - 1)/(-5 - 7)

m = 0/(-12)

m = 0

When 70 goes in, 36 comes out.

The pattern for this is x/2 + 1.

8/2 = 4, 4+1 = 5

24/2 = 12, 12+1 = 13

70/2 = 35, 35+1 = 36

x = 6 can be represented on the number line and hence it is real

Step-by-step explanation:

by simply plugging in 6 for x thus

x=6 becomes 6=6 which is true

Answer:

x=2.4

Step-by-step explanation:

for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4

Answer:

x=2.4

Step-by-step explanation:

This is simple! If you know how to find scale factor then then problem is a breeze.

Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3

Now to find that missing side= x

4 / 1.66666666667= 2.4

x=2.4

( pssstt! This “/“ means division ;-)

hope this helped :D

Answer:

[tex]D: y= -5x+12[/tex]

Step-by-step explanation:

Since the slope is -5 is either C or D. Let's replace [tex]x= 2[/tex] in either to see what we get.

C: [tex]-5(2)-2 = -12[/tex] Nope.

D: [tex]-5(2) +12 = 2[/tex] Good!

True

5 more than a number is an equation because you are adding two values.

Answer:

n+5

Step-by-step explanation:

If we choose the number to be n then 5 more than is 5 added to the number.

hence: n + 5

Answer:

The number of teaspoons in 15 ml is 3 tsp.

Step-by-step explanation:

All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.

Answer:

-1 - 22m

Step-by-step explanation:

Answer:

[tex]\frac{25}{1000}[/tex] = 0.025

[tex]\frac{20}{50}[/tex] = 0.4

[tex]\frac{3}{50}[/tex] = 0.06

[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666

Answer:

$7346.64

Step-by-step explanation:

Amount after 5years=P(1+r/100)^t

let A = amount after 5years

A=$5000(1+8/100)^5

A=$7346.64 to 2 decimal places

Answer:

the line is perpendicular to what line you didn't mention that

Step-by-step explanation:

Answer:

1.62 per pen

Step-by-step explanation:

Take the total cost and divide by the number of pens

9.69/6

1.615

Round to the nearest cent

1.62 per pen

The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x represent the number of sandwiches and y represent the total cost.

Here is a graph of this equation:

y = 10 + 4.50x

This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).

The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.

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Answer:

17

Step-by-step explanation:

g(7) = 2(7) +3

substitution

Answer:

D

last one

Step-by-step explanation:

a (n)=a1 × r^(n-1)

a1=5120

a2=1280

a3=320

a4=80

-->a2/a1=1280/5120=0.25

-->a3/a2=320/1280=0.25

-->a4/a3=80/320=0.25

ration(r) =0.25

■■■a(n)=a1 × r^(n-1)■■■

a (5)=5120×0.25^(5-1)

a (5)=5120 × 0.25 ^(4)

a (5) = 5120 × 0.00390625

a (5) = 20

Answer:

Option A (3/4)

Step-by-step explanation:

Please mark Brainliest

Answer:

THATS CORREC T

Step-by-step explanation:

CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING

Answer: y = -48/7 + 4x/7

Answer:

the first one

10+n = 3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:  the answer the first one 10+n=3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)