What is the point that lies on a graph for 10y=3x-11. Is it A (2,-.5) B (4,1) C (6,16.3). Or D (8,23)?

Answers

Answer 1

Answer: case A : x=2, y=-5
so putting the values of x and y in the equation, we get 10y -3x should be -11
so, 10* (-5) - 3 *2 = -50-6 = -56
case B , value of equation = 10*4 - 3*1 = 37
case C, value of equation = 10*6 -3*16.3 = -11.1
Case D, value of equation = 10*8-3*23 = 11
Ans will be C

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5. What is a cubic polynomial function in standard form with zeros 1, –2, and 2? (1 point)= x3 + x2 – 3x + 4
= x3 + x2 – 4x – 2
= x3 + x2 + 4x + 4
= x3 – x2 – 4x + 4

Answers

Answer:

Option D is correct

The cubic polynomial function in standard form is :

$x^3-x^2-4x+4$

Step-by-step explanation:

Given the zeroes of the polynomial function 1 , -2 and 2.

i.e, x = 1 , -2 and 2 where x is the zero of the polynomial function.

we can write this as

x - 1 = 0,

x + 2 = 0 or

x - 2 = 0

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

Using identities $(a+b)(a-b) =a^2-b^2$

then;

$(x-1)(x^2-4)=0$

Multiply the first term of the first expression with second expression;

$x (x^2-4) =x^3-4x$

also,

Multiply the second term of the first expression with second expression;

$1(x^2-4) = x^2 -4$

Now, subtract $x^3-4x$ and $x^2 -4$

we get;

$x^3-4x-x^2+4$

then, we have;

$x^3-x^2-4x+4=0$

Cubic function is any function of the form $y = ax^3 + bx^2 + cx + d,$ where a, b, c, and d are constants and a≠0

therefore, the given function is cubic function;

so, the cubic function f(x) = $x^3-x^2-4x+4$

Hello,

Answer D
(x-1)(x+2)(x-2)=(x-1)(x²-4)=x^3-x²-4x+4

Lydia wrote 4 1/2 pages of her science report in one hour. what was her writing rate in pages per minute?

Answers

Lydia wrote3/40 pages of her science report in one minute and her writing rate in pages per minute would be 0.075 in decimal form.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that Lydia spent an hour writing her 4-and-a-half-page science report.

We initially convert an hour into minutes in order to answer this question.

∵ one hour = sixty minutes

Here fraction 4 1/2 which is equal to fraction 9/2 i.e. 4.5 in decimal form

After that, we divided 4 1/2 by 60. The solution is 0.075 in decimal form. That equals 3/40 when expressed as a lowest terms fraction.

Therefore, she wrote 3/40 pages of her science report in one minute.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ5

To solve this question, I first converted one hour into minutes. (60 minutes)

Then I divided 4 1/2 into 60. As a decimal, the answer if 0.075. If you convert that into a lowest terms fraction, you get 3/40.

A pork roast was taken out of a hardwood smoker when its internal temperature had reached 180°F and it was allowed to rest in a 75°F house for 20 minutes after which its internal temperature had dropped to 170°F. Assuming that the temperature of the roast follows Newton’s Law of Cooling, a) Express the temperature of the roast, T as a function of time t.b) Find the amount of time that has passed when the roast would have dropped to 140°F had it not been carved and eaten.

Answers

The roast was 82.2degrees Celsius when it was taken out of the hardwood smoker

It would of taken 80 mins for it to cool from 180 to 140
As every 20 mins it would decrease it's temperature by 10degrees C so it would be
80mins for it to reach 140 from 180

By Newton's law of cooling
$T-S=Ce^(-kt)$
S=75
at t=0
$180-75=C=105$
at t=20
$170-75=105e^(-20k)=95 \n e^(-20k)= (95)/(105)$
$k=- (2.303)/(20) log_(10)( (95)/(105)=0.00500507463889254879012536550336$
at T=140
$140-75=65=105e^(-kt)$
$t= -(2.303)/(0.00500507463889254879012536550336)log_(10)( (65)/(105)==$
$t=96 minutes$

tara has a rectangular lot measures 88 ft by 91 ft and wishes to use fencing to enclose the garden. how much fencing does she need?

Answers

fencing means parameter and as parameter of rectangle is equal to sum of lengh and width multiply 2
now parameter=2×91+88
=2×179
=358 ft
hence tara needs 358 ft fencing

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.What is the sum of the factors?

–19
–13
13
16

Answers

The two factors of -48 that have a difference of 19 are 16 and -3.

$16 * -3 = -48\n\n16 - (-3) = 16 + 3= 19$

The sum of the factors are

$16 + (-3) = 16 - 3 = \boxed{\bf{13}}$

The answer is: C. 13

Hope this helped! If you have any other questions or would like further explanation just let me know! :)

Answer:

the nswer on ed is 13

Step-by-step explanation:

Which statement models this situation? The time between airline arrivals must be more than 2 minutes. A. t > 2 B. t = 2 C. t < 2 D. t + 2 > 0

Answers

the answer might be A because (time between airline arrivals MUST be more than 2 minutes) in letter A it shows that time is more than the 2 minutes hope this helps =)

The answere is A it says more than teo minutes

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