What is the slope of the equation of a line that passes through the point
(10, 4) and has a y-intercept of -4?

Answer:

Option A

Step-by-step explanation:

The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.

We can therefore eliminate C and D.

Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger.  Therefore, A is the more preferred answer because the domain x<1 is valid.

Answer:

b. y = 1000x

Constant of proportionality = 1,000

Step-by-step explanation:

The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.

Where,

k = constant of proportionality.

From the three given equations, the only equation that takes the form is b. y = 1000x.

The constant of proportionality (k) of the equation = 1,000.

Step-by-step explanation:

Answer:

x=  1.13 or x= -1.45

Step-by-step explanation:

use the quadratic square root formula (-b±√(b²-4ac))/(2a) .

a= 3

b=1

c= -5

replace the variables with the numbers listed above and just work out.

x=  1.13 or x= -1.45

Answer:

x = -1/6 + 1/6√61 or x = -1/6 + -1/6 √61

Step-by-step explanation:

3x^2+x-5=0

Using quadratic formula a=3, b=1, c=-5

x = -b ± √b^2 - 4ac / 2a

x = -(1) ± √(1)^2 - 4(3)(-5) / 2(3)

x = -1 ± √61 / 6

x = -1/6 + 1/6√61 or x = -1/6 + -1/6 √61

Answer:

(C) $1.5

Step-by-step explanation:

Profit Percent * Cost Price = Profit

20% * $1.25 =

20/100 = .2 * $1.25 =

$.25

Selling Price = Profit + Cost Price

$.25 + $1.25 = $1.5

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

Answer:

A

Step-by-step explanation:

He increased by 10% because of 80% to 90% is 10%

So, the Answer  is A

Answer:

12.5%

Step-by-step explanation:

The question is asking for the percent increase of 80%. So how much of 80% was the new percentage (90%) increased by.

First, find the difference 90-80=10

Then find the percent of 80 that the difference is.

10/80=0.125

0.125 in a percent form is 12.5%

So, there was a 12.5% increase.

Answer:

True

Step-by-step explanation:

You would distribute the 3 across to each term( being x and -5) by multiplying 3 by x and 3 by -5 which would get you 3x-15

Answer:

true

Step-by-step explanation:

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

Answer:

tthw student saavings account

Step-by-step explanation:

Answer:

Do you have any numbers?

Answer: 36

Step-by-step explanation:

Answer:

34.8 N at 2.5 degrees from the positive x-axis

Step-by-step explanation:

From the given information:

The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.

[tex]F_x = F cos A\\\\ F_y = Fsin A[/tex]

Given that

[tex]F_1 = 50 \ N[/tex]

[tex]\theta_1 = 30 ^0 \ \ \ (x-axis)[/tex]

[tex]F_{1x} = F_1 \times Cos A_1[/tex]

=  50 × cos 30

= 43.3 N

[tex]F_{1y} = F_1 \times Sin \ A_1[/tex]

= 50 × sin 30

= 25 N

Similarly;

[tex]F_2 = 25 \ N[/tex]

[tex]\theta_2 = 250 ^0 \ \ \ ( x-axis)[/tex]

[tex]F_{2x} = F_2 \times cos \ A_2[/tex]

= 25 × cos 250

= - 8.55 N

[tex]F_{2y} = F_2 \times A_2[/tex]

= 25 × sin 250

= -23.5 N

The total net force;

[tex]F_{net} = F_{(net)}_x + F_{(net)}_y[/tex]

[tex]F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j[/tex]

[tex]F_{net} = (43.3 - 8.55) i + (25-23.5 ) j[/tex]

[tex]F_{net} =34.75 i + 1.5 j[/tex]

[tex]|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}[/tex]

[tex]|F_{net} | = \sqrt{34.75^2 + 1.5^2}[/tex]

[tex]|F_{net} | = 34.8 \ N[/tex]

Finally, the direction of the angle for the net force is:

[tex]tan \theta = \dfrac{F_{net_y}}{F_{net_x}}[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)[/tex]

[tex]\theta = tan^{-1}( 0.043165)[/tex]

[tex]\theta \simeq 2.5^0\ with \ positive \ x-axis[/tex]

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

Answer:

k

Step-by-step explanation:

10)×20+21-150

you will end up getting your answers

I want you to just do the easy bit

the calculations if that's alright

Answer:

a: 2

b:93

Step-by-step explanation:

x=3  

y-5

a)

4x-2y    given

4(3)-2(5)  substitution

12-10        multiply

2               subtract

b)

2x^2+3y^2       given

2(3^2)+3(5^2)  substitution

2(9)+3(25)       solve exponent

18+75               multiply

93

Answer:

A would be 2 assuming x=3 and y=5

B would be 36 + 225 . So I believe the answer is 261

Step-by-step explanation:

I hope you ace your test

Let's simplify step-by-step.

3(x+1)+2(x+5)

Distribute:

=(3)(x)+(3)(1)+(2)(x)+(2)(5)

=3x+3+2x+10

Combine Like Terms:

=3x+3+2x+10

=(3x+2x)+(3+10)

=5x+13

Answer:

Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]

Step-by-step explanation:

Answer:

Closed bracket “ ] “

at -5 facing the left then fill in the graph from -5 to -10

It’s facing left because -5 is greater than -x-4

Answer:

x  ≥  1

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

−x  ≤  −1

Divide each term in −x ≤ −1  by −1 and simplify.

x  ≥  1

Hope this helps! :)

Answer:Y=2x-6

Step-by-step explanation:

Answer:

Im pretty sure it's 5.25 cups of flour

Step-by-step explanation:

so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy

For the equation

8/3=14/x

The cross product is

8*x=3*14

Solving for x

x=3×14/8

and reducing

x=5.25

Answer:

The average daily maximum temperature is

26.56 °C higher than the average daily minimum temperature

Step-by-step explanation:

Here, we simply want to calculate how higher is the average daily maximum temperature to average daily minimum temperature

We simply proceed to subtract the two

Mathematically, that will be;

21.85 - (-4.7)

= 21.85 + 4.7

= 26.56 °C

Answer:

its A, C, and F

Step-by-step explanation:

Answer:

A, C, F

Step-by-step explanation:

Answer: 10 ounces for $2.40

Step-by-step explanation: The trick behind these problems, always divide. 2.40/10ounces is $0.24. 2.08/8ounces is $0.26. Better deal, therefore smaller answer of the 2, because it's cheaper.

Some data in the question are missing. The complete question is :

The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

Solution :

Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]

∴ E([tex]$X_i$[/tex]) = 5.6

   V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]

n = 100

The required probability

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]

                            = 100 x 5.6

                            = 560

[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]

Standard deviation = 3.5 x 100

                                = 35

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]

[tex]$= \phi (1.14286)$[/tex]

= 0.8735

= 0.874  (round to 3 decimal places)

Answer:

x = 4

Step-by-step explanation:

We are asked to find the value of x when [tex] \frac{7}{2} [/tex].

Note that [tex] f(x) [/tex] is also y.

What this means is, what is the value of x when y = 7/2 = 3.5.

On the graph given, trace where y = 3.5. check the x-value that corresponds with it on the point on the line.

Thus, at y = 3.5, x = 4.

Therefore,

x = 4, when [tex] \frac{7}{2} [/tex].