Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine this area.

Answer:

see below

Step-by-step explanation:

-2x + 9 < x − 9

Add 2x to each side

2x-2x + 9 < 2x+x − 9

9 < 3x-9

Add 9 to each side

9+9 < 3x

18 < 3x

Divide each side  by 3

18/3 < 3x/3

6 < x

Open circle  at 6 line going to the right

Answer:6 to the right of the number line

Step-by-step explanation:I just did this quiz

Answer:

3.4x7.6 then divide by 2

Answer:

Step-by-step explanation:

the formula of a triangle is

b * h

 2

so 7.6 * 3.4

=25.84/ 2

=12.92 cm²

Answer:

g(-5)=3

Step-by-step explanation:

g(-5)=-(-5)-2=5-2=3

Substitute x with -5.

g(-5) = -(-5) - 2

g(-5) = 5 - 2

g(-5) = 3

Best of Luck!

Answer:

[tex]-2x^2-4x+2[/tex]

Step-by-step explanation:

[tex](7x^2-2x+1)-(9x^2+2x-1)=\\(7x^2-9x^2)+(-2x-2x)+(1+1)=\\-2x^2-4x+2[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

The main equivalence between rectangular and polar forms is

x^2 + y^2 = r^2, where r is the radius.  Next, y = r sin Ф.  Thus,

x^2 + y^2 = r^2 becomes r² = 2·r·sin Ф.

The variable r can be factored out partially:  r = 2·sin Ф

This is the polar form of x^2 + y^2 = 2y.

Answer:

x = 88

Step-by-step explanation:

These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary

x + 92 =180

Subtract 92 from each side

x+92-92=180-92

x =88

Answer:

[tex]88 \: \: degrees[/tex]

Step-by-step explanation:

[tex]x + 92 = 180 \\ x = 180 - 92 \\ x = 88 \: \: degrees[/tex]

Answer:

90%

Step-by-step explanation:

So, in order to get this answer, you must divide the amount of students that filled the theatre, which is 4,500, by the amount of seats at the theatre, which is 5,000. You can eliminate the two zeros at the end of each number, which will leave you with 45/50. 45 divided by 50 equals 0.9. You can then multiply 0.9 by 100, because of the 2 zeros eliminated earlier. This will leave you with 90%.

Answer: The probability is 1/190 = 0.005

Step-by-step explanation:

The probability of ordering two specific toppings out of 20 is:

For the first selection he can order 2 of them, peperoni or sausage, so the probability for the first selection is 2/20 = 1/10 (the number of correct options divided by the total number of options)

For the second selection we have only one option, because we assume that the other one was selected previously, here we also had a total of 19 toppings because one already was selected, the probability in this selection is 1/19.

The joint probability is equal to the product of those two probabilities:

P = (1/19)*(1/10) = 1/190 = 0.005

Answer:

20

Step-by-step explanation:

Answer:  (-6,7)

Step-by-step explanation:

Tow points, (x1, y1) and (x2, y2) are simetric in a quadratic graph when:

f(x1) = y1 = f(x2) = y2

so y1 = y2

Then if we have the point (2,7) we want to find other point that has the same value for y, this is (-6, 7)

So the correct option is  (-6,7)

Answer:

Below in bold.

Step-by-step explanation:

I won't do all these but you should get the idea of how to do them from the following. Be careful with the units if they are given . You must convert both values to the same unit before working out the percentages.

a. What proportion of 15 is 5:

As a fraction it is 5/15 = 1/3.

Now convert to a percentage by multiplying by 100:

1/3 * 100 = 33.33%

b.  20 and 10

= 10/20 = 1/2

1/2 * 100 = 50%.

e.  £30  and £12

= 12/30

= 2/5

= 2/5 * 100 = 40%.

h. 6.4 is 0.4

= 0.4 / 6.4

= 4/64

= 1/16

= 1/16 * 100 = 6.25%

i. £144 is 12p

Here we convert the 2 values to pence:

£144 = 144 * 100 = 14,400p

The fraction is 12/14,400

= 1/1200

= 1/1200  * 100 = 0.083%

j. 1.2 m is 30 cm

Convert 1.2 m to cm

= 1.2 * 100 = 120

The fraction is 30/120 = 1/4

= 1/4  100 = 25%.

Answer:

Its 6

Step-by-step explanation:

6 times 2 equals 12

so m=6

Answer:

m=24

Step-by-step explanation:

12x2=24

24/2=12

Answer:

(3 x + 4) (x - 1) (x + 3)

Step-by-step explanation:

Factor the following:

3 x^3 + 10 x^2 - x - 12

The possible rational roots of 3 x^3 + 10 x^2 - x - 12 are x = ± 1/3, x = ± 2/3, x = ± 4/3, x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = -4/3, x = 1 and x = -3 are roots. This gives 3 x + 4, x - 1 and x + 3 as all factors:

Answer: (3 x + 4) (x - 1) (x + 3)

Answer:

I WILL SAY THE 2 ONE

Step-by-step explanation:

Answer: y =x2 (squared)−3x−10

Step-by-step explanation:

Answer:

What are the roots of y [tex]y=x^{2}-3x-10[/tex]?

[tex]x=5[/tex] [tex]and[/tex] [tex]=-2[/tex] .

Step-by-step explanation:

The given equation in two variables is [tex]y=x^{2}-3x 10 y = x 2 - 3 x - 10[/tex] .

We are asked to find the roots. We will now apply the zero factor property

by equating each factor to zero. Thus, the roots of the equation are

[tex]x=5[/tex] and [tex]x=-2[/tex] .

Answer:

The answer is  43.9822972 rad but you could just round and put 43.98

Step-by-step explanation:

Answer:

(D)$81

Step-by-step explanation:

Given that the number of purses a vendor sells daily has the probability distribution represented in the table.

Expected Value, [tex]E(x)=\sum_{i=1}^{n}x\cdot p(x)[/tex]

Therefore:

[tex]E(x)=(0X0.35)+(1X0.15)+(2X0.2)+(3X0.2)+(4X0.03)+(5X0.07)\\=0+0.15+0.4+0.6+0.12+0.35\\E(x)=1.62[/tex]

If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses

=Expected Value X $50

=1.62 X $50

=$81

The correct option is D.

Answer:

(x + 9)²

Step-by-step explanation:

x² + 18x + 81

(x + 9)(x + 9)

(x + 9)²

Answer: 22.2

Step-by-step explanation: You have to add 97, 3, 0, 4, 7 and then then divide the total by how many numbers you added. So for this you would divide the total by 5

This question is incomplete because it was a details in the question was not written correctly.

Complete Question:

A sundae requires 2 ice-cream scoops and 4 raspberries, and a milkshake requires 3 ice-cream scoops and 5 raspberries. Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries. Let S denote the number of sundaes she makes and M the number of milkshakes she makes. Write an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS).

Answer:

An inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:

2S + 3M ≤ 80

Step-by-step explanation:

From the above question, we are told that:

Let S denote the number of sundaes Laila makes

M the number of milkshakes

a) A sundae requires 2 ice-cream scoops and 4 raspberries

A sundae = 2S and 4S

b) A milkshake requires 3 ice-cream scoops and 5 raspberries.

A milk shake = 3M and 5M

Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries .

Therefore, an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:

2 ice cream scoops + 3 ice cream scoops ≤ 80

2S + 3M ≤ 80

Answer:

ABC store

Step-by-step explanation:

The abc store shoes are 18.02

Answer:

Lo-Price Shoes

Step-by-step explanation:

(60.05×30)÷100=

1801.5÷100=

$18.015

60.05-18.015=42.035

$42.035>$38.85

Lo-Price Shoes are still cheaper even with ABC's 30% discount.

Answer:

what is it asking to find then i can help

Step-by-step explanation:

Answer:

B: It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

C. 0.42 I did this right before the pandemic

Answer:

Correct option: d -> 40,320

Step-by-step explanation:

To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.

The word "grateful" has 8 different letters, so the number of arrangements of letters is:

8! = 8*7*6*5*4*3*2 = 40,320 different arrangements

Correct option: d

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

a) Using exponential function

[tex]f(x) = Ca^x[/tex]

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

[tex]f(x)=0.07(0.6)^x[/tex]

b)

Here the hourly decay factor is 0.6

[tex]B(x)=ca^x\\\\0.07(0.6)^x[/tex]

c) Evaluate

[tex]B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g[/tex]

0.0252g or 100mL

Answer:

a) Hourly decay factor = 0.6

b) [tex]B(x) = 0.07(0.6)^x[/tex]

c) B(2) = 0.0252

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Step-by-step explanation:

Since the function is an exponential function, it can be modeled as:

[tex]B(x) = C (1 + r)^x[/tex]

Where the peak blood alcohol level, C = 0.07

Since the blood level decreases by 40%(0.4) every hour, r = -0.4

The hourly decay factor is given by a = 1 + r

a = 1 + (-0.4) = 1 - 0.4

a = 0.6

Therefore, the hourly decay factor = 0.6

b) The exponential function is:

[tex]B(x) = Ca^x[/tex]

Where a = 1 + r = 0.6

C = 0.07

[tex]B(x) = 0.07(0.6)^x[/tex]

c) Evaluate B(2)

Substitute x = 2 into the exponential function gotten in part (b)

[tex]B(2) = 0.07(0.6)^2\\B(2) = 0.0252[/tex]

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Answer:

I think the answer is 42%

Answer:

50

Step-by-step explanation:

The solution of number is, 200.

We have to given that;

To find a number which is 30% of  number is 60.

Let us assume that,

A number is, x

Hence, We can formulate;

⇒ 60 = 30% of x

⇒ 60 = 30/100 × x

⇒ 60 = 3x / 10

⇒ 600 = 3x

⇒ 3x = 600

⇒ x = 200

Thus, The solution of number is, 600

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Answer:

D. Division and Addition

Step-by-step explanation:

Answer:

(x-y)(x+y-1.5)

Step-by-step explanation: