The point (5, -1) is a solution of the equation: y = 2x − 11 question 28 options: true false

Answers

Answer 1

Answer: True
This is because on replacing for x=5;
y=2x-11
y=2(5)-11
y=10-11
y=-1

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Find the interval on which the curve of y equals the integral from 0 to x of 2 divided by the quantity 1 plus 3 times t plus t squared, dt is concave up.

Answers

Hello,

$\frac{d^2( \int\limits^x_0 { (2)/(t^2+3t+1) } \, dt )}{dx^2} = (d((2)/(x^2+3x+1)) )/(dx) \n = (-2(2x+3))/((x^2+3x+1)^2)$

Determine whether the following problem involves a permutation or combination. (It is not necessary to solve the problem.) How many different 33-letter passwords can be formed from the letters Upper QQ, Upper RR, Upper SS, Upper TT, Upper UU, Upper VV, and Upper WW if no repetition of letters is allowed?

Answers

Answer:

Permutation

Step-by-step explanation:

Since we are talking about passwords the order of the letters matters, i.e, the pasword UpT is different to the pasword pUT. Therefore, the problem involves all the permutations of 33 letters, from the given letters, where no repetitions of letters are allowed.

Find the diameter of the base of a right cylinder if the surface area is 128(pi) and the height is 12cm.

Answers

$d=2r\n A=128 \pi \n A=2 \pi r^(2) +2 \pi rh \n\n 2 \pi r^(2) +2 \pi rh = 128 \pi \n 2 r^(2) +2rh = 128\n 2 r^(2)+24r-128=0\n r^(2)+12r-64=0\n delta=400\n r_(1/2) = -16/4 \n r=4cm\n d=8cm\n$

Radius / diameter as a length cannot be negative, that's why '-16' is wrong.

multiplying polynomials

find the product

(2a-1)(8a-5)

Answers

The product of (2a-1)(8a-5) is 16a² - 18a + 5.

To find the product of (2a-1)(8a-5), we can use the distributiveproperty. This means that we multiply each term in the first polynomial (2a-1) by each term in the second polynomial (8a-5) and then combine like terms.

Applying the distributive property, we have:

(2a-1)(8a-5) = 2a(8a) + 2a(-5) - 1(8a) - 1(-5)

Simplifying this expression, we get:

16a² - 10a - 8a + 5

Combining liketerms, we have:

16a² - 18a + 5

Therefore, the product of (2a-1)(8a-5) is 16a² - 18a + 5.

In this case, we multiplied each term of the first polynomial by each term of the second polynomial, resulting in four terms. Then, we combined like terms to simplify the expression. The final product is a quadratic polynomial with a leading coefficient of 16 and terms involving the variable 'a'.

To learn more about Polynomials;

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(2a - 1) (8a - 5)

= {2a(8a - 5)} - {1(8a - 5)}

= 16a² - 10a - 8a + 5

= 16a² - 18a + 5

Can anyone please help ????? And if you do thank you

Answers

Answer:

a/b

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin C = a/b

Answer:

Step-by-step explanation:

On paper, Soh Cah Toa can help you remember how to do this stuff

A nutritionist planning a diet for a runner wants him to consume 3,800 Calories and 650 grams of food daily. Calories from carbohydrates and fat will be 60% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of fat will the diet include?