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3 years ago

HELP ME PLEASE MATH Which graph represents the following system of inequalities?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

8 0

y > 5x-1, because it is just a greater than sign, the shaded area would be to the left of a dotted line.

y ≤ x +3, because the sign is less than or equal to, the line is solid and the shaded area would be to the right.

Combine the shaded areas would make Graph B. the correct answer.

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You've fallen into my trap! justin shouts, laughing like the madman he is. the mouse he captured stares back at him indifferentl

fgiga [73]

Answer:

all of the sides are 18 units

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Perform the multiplication. Simplify the answers. 2 √30*( √5+ √6+ √10+ √15)

Delicious77 [7]

The simplified expression of $2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})$ is $10\sqrt{6} + 6\sqrt{20}+ 20\sqrt{3} + 30\sqrt{2}$

The expression is given as:

$2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})$

Expand the expression

$2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2\sqrt{30} \times \sqrt5+ 2\sqrt{30} \times \sqrt6+ 2\sqrt{30} \times \sqrt{10} + 2\sqrt{30} \times \sqrt{15}$

Factor out 2

$2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{30} \times \sqrt5+ \sqrt{30} \times \sqrt6+ \sqrt{30} \times \sqrt{10} + \sqrt{30} \times \sqrt{15})$

Combine the radicals

$2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{150} + \sqrt{180}+ \sqrt{300} + \sqrt{450})$

Expand the expression

$2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{25 \times 6} + \sqrt{9 \times 20}+ \sqrt{100 \times 3} + \sqrt{225\times 2})$

Evaluate the roots

$2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(5\sqrt{6} + 3\sqrt{20}+ 10\sqrt{3} + 15 \sqrt{2})$

Expand

$2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) =10\sqrt{6} + 6\sqrt{20}+ 20\sqrt{3} + 30\sqrt{2}$

Hence, the simplified expression of $2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})$ is $10\sqrt{6} + 6\sqrt{20}+ 20\sqrt{3} + 30\sqrt{2}$

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3 0

2 years ago

Please help ASAP!!!!!50 POINTS!!!!!

choli [55]

This means for every 1 can of black paint there are 2 cans of white paint in the mix

Step-by-step explanation:

The constant of proportionality is the gradient of line which can be evaluated as follows;

Gradient = delta y / delta x

Gradient = (y2 – y 1) / (x2 – x1)

We shall pick two points on the line graph in (x,y) format;

(3. 6) and (1, 2)

We evaluate the gradient now be repalivn the points on the formula;

Gradient = (2 – 6) / 1 – 3

Gradient = - 4 / - 2

Gradeint = 2/1 = 2

= 2

This means for every 1 can of black paint there are 2 cans of white paint in the mix

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7 0

3 years ago

Solve the following system of equations y=3x^2+24+10<br> 3x + y = 10

yan [13]

Answer:

y=3x^2+34

3x+y-10=0

Step-by-step explanation:

3 0

3 years ago

The accompanying table shows the number of bacteria present in a certain culture over a 6 hour period, where x is the time, in h

madam [21]

The number of bacteria present after 15 hours is 18928

<h3>How to determine the exponential equation?</h3>

An exponential equation is represented as;

y = ab^x

Where

a = y, when x = 0

From the table, we have:

y = 1796 when x = 0

So, we have:

y = 1796b^x

Also, we have the point (1, 2097)

This gives

2097 = 1796b^1

Divide by 1796

b = 1.17

Substitute b = 1.17 in y = 1796b^x

y = 1796(1.17)^x

This means that the exponential equation is y = 1796(1.17)^x

After 15 hours, we have:

y = 1796(1.17)^15

Evaluate

y = 18928

Hence, the number of bacteria present after 15 hours is 18928

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7 0

2 years ago