solve the inequality: 8(7-x)<64

Answer:

1:4

Step-by-step explanation:

Given

Volume of orange juice = 50ml

Volume of water = 200mL

Required

Ratio of volume of orange juice to water

Ratio = volume of orange juice/volume of water

Ratio =50mL/200mL

Ratio =5/20

Ratio =1/4 or 1:4

Hence the required ratio is 1:4

Answer: Slope = 8.000/2.000 = 4.000

x-intercept = 14/-4 = 7/-2 = -3.50000

y-intercept = 14/1 = 14.00000

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(4*x+14)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-4x-14 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-4x-14 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 14/1 so this line "cuts" the y axis at y=14.00000

y-intercept = 14/1 = 14.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-2 Our line therefore "cuts" the x axis at x=-3.50000

x-intercept = 14/-4 = 7/-2 = -3.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 14.000 and for x=2.000, the value of y is 22.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 22.000 - 14.000 = 8.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 8.000/2.000 = 4.000

Geometric figure: Straight Line

Slope = 8.000/2.000 = 4.000

x-intercept = 14/-4 = 7/-2 = -3.50000

y-intercept = 14/1 = 14.00000

Answer:

[tex]t = \frac{3 - 4p}{p + 2}[/tex]

Step-by-step explanation:

Given

[tex]P = \frac{3 - 2t}{4 + t}[/tex]

Required

Make t the subject

[tex]P = \frac{3 - 2t}{4 + t}[/tex]

Cross Multiply

[tex]P * (4 + t) = 3 - 2t[/tex]

[tex]4p + tp = 3 - 2t[/tex]

Collect Like Terms

[tex]tp + 2t = 3 - 4p[/tex]

Factorize:

[tex]t(p+2) = 3 - 4p[/tex]

Make t the subject

[tex]t = \frac{3 - 4p}{p + 2}[/tex]

Answer:

Step-by-step explanation:

Answer:

that po :))))))

Step-by-step explanation:

Answer:

#CARRYONLEARNING

Step-by-step explanation:

Answer:

6. a) The coordinate of the y-intercept is (0, 4)

b) The y-intercept represent the initial distance before she started hiking

7. The domain of the function is 0 ≤ c ≤ ∞

8. The correct option is;

b. all real numbers from 2.6 to 13"

9. Please find attached the required graph of the function created with Microsoft Excel

Step-by-step explanation:

6. From the given graph, we have;

The coordinate of the y-intercept = (0, 4)

The y-intercept represent the initial distance before she started hiking

7. The given function that models the number of cans Luis will have after his purchase is f(c) = 24·c + 5

The domain of the function is the possible values of "c", which is 0 ≤ c ≤ ∞

∴ The domain of the function = 0 ≤ c ≤ ∞

8. The number of hours Roger plays video games, t is 2 ≤ t ≤ 5

The number of games Roger plays on average within an hour = 2.6 games

The function f(t) = 2.6·t gives the number of games Roger plays in "t" hours

Therefore, we have;

The range = f(2) ≤ f(t) ≤ f(5) = 2.6 × 2 ≤ f(t) ≤ 2.6 × 5 = 5.2 ≤ f(t) ≤ 13

The range of the function = 5.2 ≤ f(t) ≤ 13

The correct option is "b" " all real numbers from 2.6 to 13"

9. Please find the required graph of the function [tex]f(x) = -\left | x - 2 \right | + 3[/tex], created with Microsoft Excel.

Answer:

72

Step-by-step explanation:

Multiply 72 by .75 and you get 54

Answer:

a

Step-by-step explanation:

w+3=-4*3

or,w+3=-12

or,w=-12-3

w=-15

The domain of the relationship is [-2,6]

Step-by-step explanation:

y = 3 is a horizontal line. A line that is perpendicular would be a vertical line. (x = a)

Since it passes through (-2, -8) with x-value of -2,

the line equation is x = -2.

Answer:

1) 3,6,9

2) the pattern will keep growing around 3 multiple

3) the next pattern is 12,15

Answer:

the slope of a vertical line is undefined

Step-by-step explanation:

its undefined because it doesn't move horizontally. however if you had a horizontal line, the slope would be 0

Answer:

80%

Step-by-step explanation:

First, add all the numbers up to get 76.

Then, add the dogs, hamsters, and fish to get 61.

Finally, divide 61 by 76 to get 0.80

So, 80% of students had dogs, hamsters and fish.

Answer:

AC+BD = 78

Step-by-step explanation:

Given that,

AB = 15, AD = 36

We need to find the value of AC+BD.

[tex]BD^2=AB^2+AD^2[/tex]

We can find BD.

[tex]BD^2=15^2+36^2\\\\BD=39[/tex]

According to figure,

BC should be equal to AD and AB should be equal to CD.

AC+BD = BD+BD

= 2BD

= 2 × 39

= 78

So, the value of AC+BD is equal to 78.

Answer:

1) angle 1 is 55 degrees

2) angle 2 is 55 degrees

3) angle 3 is 70 degrees

4) angles 1 and 2 are vertical

Step-by-step explanation:

1) angle 1 = 180 - (85 + 40)

2) angle 2 has the same measure of angle 1

3) angle 3 is 180 - (55 + 55)

4) angles 1 and 2 are vertical and congruent

Answer: The number of supervisors are 9 times the number of unicorns.

Step-by-step explanation:

Let the number of supervisors be 'n'.

Let the number of unicorns be 'u'.

According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

So, Mathematically, it is expressed as

so, we established the relationship between the number of supervisors and number of unicorns.

Hence, the number of unicorns are 9 times the number of supervisors.

Answer:

In order from top to bottom, the tiles are,

x=5+4i

x=-4+5i

x=4-5i

Step-by-step explanation:

All of these solutions are complex numbers, which means the equation has imaginary roots. Complex numbers are written in the form of a+bi, where a is a real number and bi represents the imaginary number. For quadratic equations, complex roots are often also complex conjugates. This means that the solution is x=a+bi, so to find the other conjugate simply switch the sign. For example, if x=5-4i is a solution, so is x=5+4i.

Answer:

CORRECT

Step-by-step explanation:

Answer: 14 units?

Step-by-step explanation: Sorry if its wrong.....

Answer:

I think the value of x =50

Answer:

-0.9 gallons per minute

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use of the formula aⁿbⁿ= (ab)ⁿ

Step-by-step explanation:

By Factor Theorem, we have:

(x - 1)(x - 2)(x - 3)(x + 3)

= (x² - 3x + 2)(x² - 9)

= x⁴ - 3x³ - 7x² + 27x - 18.

Answer:

5*9

Step-by-step explanation:

5*9 duh

Answer:

-17

-14

-10

-5

-2

3

now it is ready

Answer:

there u go

Step-by-step explanation:

your ans is-22, -18,-14, -10,-6,-2,2,5

this is the ans

Step-by-step explanation:

2x = 4x - 6, => x = 3.

3x = y, => y = 9.

Answer:

Yes it represents.

Variation tax = 0,25

Step-by-step explanation:

Direct variation is the name we gave to the rate of change of a first degree function.

A first degree generic function is:

y = f(x) = ax + b

Now observe the question's function:

- x + 4y = -2

4y = x - 2

y = 1/4x - 2/4

y = f(x) = 0,25x - 0,5

0,25 is our constant variation, because any number that x assume will be multiplied by 0,25.

Answer:

that

Step-by-step explanation:

that is the solution

Answer:

(1,-1)

Step-by-step explanation:

it's the point of intersection

hope this helps, pls mark brainliest :D

Answer

C but then again i might be wrong

Answer:

C) (6,8) Is your answer

Step-by-step explanation:

point b(2,5)

remember

(x,y)

x=moves left or right

y moves up or down

so 4 units left and 3 units up

if you go left or down u subtract if you go right or up you add

so

(2,5)+(4,3)

=

(6,8)

Hope this helps!