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3 years ago

Question 4

Mathematics

1 answer:

andrey2020 [161]3 years ago

6 0

Answer:

D : 5x³ + 5x² + x

Step-by-step explanation:

Addition and subtraction of the right coefficient of the x³ and x² terms will give you the right answer

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Help please !!! I’m stuck on these problems

Sauron [17]

Answer:

$b=6.8\ units$

Step-by-step explanation:

we know that

Applying the law of sines in the triangle ABC

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

substitute the given values

$\frac{15}{sin(140\°)}=\frac{b}{sin(17\°)}$

Solve for b

$b=(sin(17\°))\frac{15}{sin(140\°)}$

$b=6.8\ units$

4 0

3 years ago

HELP NOW WITH EXPONENTS

soldi70 [24.7K]

PLZ MARK BRAINLIEST! :)

Answer:

$7^{12}$

Step-by-step explanation:

When you divide two numbers that have exponents and have the same base, just subtract the exponents. In this case, 7 is the base of both the dividend and the divisor. So, simply subtract 14 - 2 to get 12. The final answer is $7^{12}$ .

Hope this helps! :)

6 0

3 years ago

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

List the sides from shortest to longest

LUCKY_DIMON [66]

Answer:

L to K

K to J

Step-by-step explanation:

the length between L and K is shorter when compared the side K to J

hope it helps :)

5 0

3 years ago

Read 2 more answers

Find the real zeros of f(x); there are 4 zeros

ziro4ka [17]

Answer:

x = 4 or x = 1 or x = -2 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^4 - 3 x^3 - 21 x^2 - 2 x + 24 = 0

The left hand side factors into a product with four terms:

(x - 4) (x - 1) (x + 2) (2 x + 3) = 0

Split into four equations:

x - 4 = 0 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0

Add 4 to both sides:

x = 4 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 4 or x = 1 or x + 2 = 0 or 2 x + 3 = 0

Subtract 2 from both sides:

x = 4 or x = 1 or x = -2 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 4 or x = 1 or x = -2 or 2 x = -3

Divide both sides by 2:

Answer: x = 4 or x = 1 or x = -2 or x = -3/2

7 0

3 years ago

Read 2 more answers