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3 years ago

The following table shows the number of students in a school who like cooking and/or reading:

Mathematics

2 answers:

alina1380 [7]3 years ago

8 0

Answer:

I did it and is 36

Step-by-step explanation:

arlik [135]3 years ago

6 0

Answer:

The first one: 28

Step-by-step explanation:

The total number of people who like cooking is 20 people while 48 people like to read.

48-20 is 28

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***Question is on the picture

RUDIKE [14]

Answer:

M(4, -3)

Step-by-step explanation:

Reflecting over the x-axis is simple:

If the x is positive, the reflection would be negative and vice versa.

In this case, the y isn't affected since it's only reflecting over the x-axis.

So, M is at the coordinates (4, -3)

5 0

3 years ago

40x=10x^2+41 Identify the number of solutions and their types using the discriminant

nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: $40x=10x^2+41\\$

Rearranging:

$40x-10x^2-41=0\\10x^2-40x+41=0$

Discriminant can be found by: $b^2-4ac$

where b=-40, a=10 and c=41

Putting values:

$b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\$

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

#learnwithBrainly

6 0

3 years ago

Please help asap!!!

sp2606 [1]

Answer:

$y=\frac{1}{6} (x+5)^2-4.5$

$y=\frac{-1}{20} (x-10)^2+1$

Step-by-step explanation:

focus at (-5, -3), and directrix y = -6

Directrix y=-6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

(h,k) is the center

P is the distance between focus and vertex

distance between focus and directrix = 2p

distance between -3 and y=-6 is 3

2p = 3

p = 3/2 or p = 1.5

Focus is (h, k+p)

given focus is (-5, -3) so h= -5 and k+p = -3

k+p=-3, plug in 1.5 for p

k + 1.5 = -3

subtract 1.5 on both sides

k = -4.5

(x-h)^2 = 4p(y-k)

$(x+5)^2= 4(1.5) (y+4.5)$

$(x+5)^2= 6(y+4.5)$

divide by 6 on both sides

then subtract 4.5 on both sides

$y=\frac{1}{6} (x+5)^2-4.5$

focus at (10, -4), and directrix y = 6.

Directrix y=6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

distance between focus and directrix = 2p

distance between -4 and y=6 is -4-6=-10

2p = -10

p = -5

Focus is (h, k+p)

given focus is (10, -4) so h= 10 and k+p = -4

k+p=-4, plug in 5 for p

k - 5 = -4

add 5 on both sides

k = 1

(x-h)^2 = 4p(y-k)

$(x-10)^2= 4(-5) (y-1)$

$(x-10)^2= -20(y-1)$

divide by -20 on both sides and add 1 on both sides

$y=\frac{-1}{20} (x-10)^2+1$

8 0

3 years ago

Ted and Fred are the owners of a gas station. They invested $150,000 each and pay an employee named Lawrence $35,000 per year. T

Serjik [45]

Answer:

Ted and Fred

Step-by-step explanation:

As per the question,

Ted and Fred are the owners of a gas station that is they are the owner of their own firm.

As being the owner of their own company, they are the one who is responsible for their loss. That is the firm’s owners always suffer the firm’s risk.

Business Risk: Risk that a business will not be able to cover its operating costs.

So in this case, Lawrence is the employee and legally he is not responsible to suffer any kind of the loss.

So he must be paid his salary on time and in full whether or not the firm is running a profit, a loss, or just breaking even.

As being owner Ted and Fred are responsible to withstand the business risk.

Hence, the person who is legally responsible for bearing the $40,000 loss is Ted and Fred.

8 0

3 years ago

I need help to calculate (The three at the end is to the third power!) (−1)3 Thank you!!!!!!

Yuliya22 [10]

( -1) 3^3

( - 1 ) 27

- 27 is the answer

8 0

3 years ago

Read 2 more answers