Find the graph of the inequality y<= -1/3+1

Find the zeros of y = x + 6x- 4 by completing the square.

dsp73

Answer:

$\large\boxed{x=-3\pm\sqrt{13}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}$

8 0

3 years ago

Please help me. 5(m-7)=-8(3m+8)

inessss [21]

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

7 0

3 years ago

mark is drawing a map of his favorite park. the park is 3 miles long and 1.5 miles wide. the map scale is 1 inch = .25 miles. ho

Brilliant_brown [7]

Answer: 6 inches

Step-by-step explanation:

1.5 miles wide * 1 inch / 0.25 miles = 6 inches :D

7 0

2 years ago

Read 2 more answers

Tom and Martin both worked 9 hours this week and sold $360 worth of meals. Their hourly wages are $2.15 and $2.50, respectively.

serious [3.7K]

Tom and Martin worked <u>9 hours</u> this week.

These are their hourly wages:

Tom: $2.15

Martin: $2.50

This means that:

Tom earned 9 x $2.15 in wages, which is equal to $19.35.

Martin earned 9 x $2.50 in wages, which is equal to $22.50.

--------------------

Now, we've been told that Tom and Martin sold $360 worth
of meals but we were not told how much they received in tips.

For all intents and purposes, let's say that they received $n
in tips. 15% of $n in tips would be less than 20% of $n
in tips. Now, Martin is already going to be receiving a higher
wage, and the fact that he is going to be receiving 20% of
$n in tips compounds the logical conclusion that at the end
of the week, he'd be leaving work with more money than Tom.

Answer:

Martin made more money than Tom.

3 0

3 years ago

Arun has apples and oranges in the ratio 5:3. Convert the ratio of apples and oranges to the total fruits in fraction form and p

Korvikt [17]

Answer:

Apples: 5/8 or 62.5%

Oranges: 3/8 or 37.5%

Step-by-step explanation:

You would figure this out because Aran has 5 apples and 3 oranges and if you’re trying to find the percentage to total number of fruits you have, it would be 5 apples/ 8 fruits and 3 oranges/ 8 fruits.

Hope this helped :)

3 0

3 years ago