Does (1, 0) make the equation y = x true?<br> yes<br> no

Based on the polynomial remainder theorem, what is the value of the function when x = 4?

ipn [44]

Answer:

124

Step-by-step explanation:

When x=4, substitute 4 into the function to give f(4).

$f(4) = (4)^4 - 2(4)^3 + 5(4)^2 -20(4) -4\\f(4) = 256 - 2(64) + 5(16) - 80 -4\\f(4) = 256 -128 + 80 - 80 -4\\f(4) = 128+80-80-4\\f(4) = 208-80-4\\f(4) = 128-4\\f(4) = 124$

4 0

3 years ago

A cross section of a right triangular prism is created by a plane cut through the points shown and is also perpendicular to the

TiliK225 [7]

B. rectangle i think is right

3 0

3 years ago

Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side

maria [59]

Answer:

cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = $-\frac{1}{3}$

cos(b) = $-\frac{1}{4}$

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = $-\sqrt{1-(-\frac{1}{3})^2}$ [Since, sin(a) = $\sqrt{(1-\text{cos}^2a)}$ ]

= $-\sqrt{\frac{8}{9}}$

= $-\frac{2\sqrt{2}}{3}$

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.

sin(b) = $-\sqrt{1-(-\frac{1}{4})^2}$

= $-\sqrt{\frac{15}{16}}$

= $-\frac{\sqrt{15}}{4}$

By substituting these values in the identity,

cos(a + b) = $(-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})$

= $\frac{1}{12}-\frac{\sqrt{120}}{12}$

= $\frac{1}{12}(1-\sqrt{120})$

= $\frac{1}{12}(1-2\sqrt{30})$

Therefore, cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

5 0

3 years ago

The total global area of crops has increased from 44.2 million to

alexira [117]

Answer:

311%

Step-by-step explanation:

The percentage change is calculated as ...

percent change = ((new value) -(old value))/(old value) × 100%

Filling in the numbers, we have ...

percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%

The global area increased by 311% over the interval.

7 0

3 years ago

Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Co

lesantik [10]

In the case above, the option that one need to include in your answer is to Find a common denominator.

<h3>What is Fraction in lowest terms?</h3>

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

Learn more about Fraction from

brainly.com/question/78672

#SPJ1

8 0

2 years ago

Does (1, 0) make the equation y = x true? yes no