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3 years ago

Solve the inequality. 2|2/5x+3|>3/5

Mathematics

1 answer:

Naddik [55]3 years ago

5 0

Answer:

x < − 33 4 or x > − 27/4

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Chance knows the length of a football field (including end zones) is 120 yards. The width of the field is 53.33 yards. What is t

givi [52]

Answer = about 6,400 yards squared

Step-by-step explanation:

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3 years ago

< ADF measures 2x degrees and < FDC measures x + 12 degrees. What is the measure

gtnhenbr [62]

Answer:

<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>

Step-by-step explanation:

In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

$\angle ADF + \angle FDC = 90\°$

And we know that

$\angle ADF=2x\\\angle FDC = x+12$

Replacing these expressions, we have

$2x+x+12=90\°\\3x=90\° - 12\°\\x=\frac{78}{3}\\ x=26$

Then, we replace this value in each expression to find both angles measures.

$\angle ADF= 2(26)=52\°\\\angle FDC = 26+12=38\°$

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.

7 0

2 years ago

Help me please i need it rn

umka2103 [35]

Step-by-step explanation:

Multiply 12600 by -3/4 to determine the amount earned.

*12600 can be put over 1.

<u>Multiply:</u>

$\frac{12600}{1} \times \frac{ - 3}{4} = \frac{37800}{4}$

<u>Simplify by dividing the fraction by 4:</u>

$\frac{ - 37800 \div 4}{4 \div 4} = \frac{ - 9450}{1}$

Mikasa has lost $9450.

5 0

2 years ago

If you have a balance of $1,000 on your credit card, and the interest rate is 17¾% a year, in order to pay off the $1,000 in 5 y

viva [34]

Answer:

$540.54

Step-by-step explanation:

8 0

3 years ago

Transforming quadratic graphs

rewona [7]

Answer:

f(x) = 3(x - 2)² + 4

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

y = a(x - h)² + k

Standard form of a parabola:

y = ax² + bx + c

Let's find the vertex of this parabola.

(h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

7 = a(1)² + 4
7 = a + 4

Subtract 4 from both sides.

a = 3

Now we have (h, k) and a of the vertex form.

y = a(x - h)² + k → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

y = 3(x - 2)² + 4

y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

y = 3x² - 12x + 12 + 4

Combine like terms.

y = 3x² - 12x + 16

Therefore, we have the answer:

<u>Vertex form:</u>

f(x) = 3(x - 2)² + 4

<u>Standard form:</u>

f(x) = 3x² - 12x + 16

8 0

3 years ago