The curve ax squared - 4x+1 has a stationary point where x equals -3find the value of a and determine the nature of the stationary point

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Answer 1
Answer: f(x)=ax^2-4x+1\nf'(x)=2ax-4\n0=2a\cdot(-3)-4\n6a=-4\na=-(4)/(6)=-(2)/(3)

It's the quadratic equation where a<0 so the stationary point is a maximum.

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Factor each polynomial  5xy-10x
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Find the measure of Angle 5. measure of angle 7 = 2x+15 measure of angle 8 = 3x

10,infinity
Interval notation-
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Answer:

hi

Step-by-step explanation:

What does a semicolon in math mean

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The semicolon in math mean [1;2;3].

We are given that;

Semicolon

Now,

A semicolon in math can have different meanings depending on the context. One common use of a semicolon is to separate variables from parameters in a function definition1. For example, f(x;y) means that f is a function of the parameter y that returns a function of the variable x. Another use of a semicolon is to separate the elements of a matrix or a vector2. For example, A = [1;2;3] means that A is a column vector with three elements: 1, 2 and 3. A third use of a semicolon is to indicate a conditional probability3. For example, P(A;B) means the probability of A given B, or the probability of A occurring when B is true.

Therefore, by mean the answer will be [1;2;3].

Learn more about mean and median;

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A semicolon is used to separate variables from parameters. that we are defining a function of the parameters that returns a function of the variables.

How do you solve 5[2p−4(p+5)]=25 properly?

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Answer:

Step-by-step explanation:

5[2p-4(p+5)]=25

or, 2p-4(p+5)=5

or, 2p-4p-20=5

or, -2p=5+20

or, -2p=25

or, 2p=-25

or, p=25/2

so, p=12.5

In △ABC, points M and P are points on sides AC and BC respectively. Find the area of △MPC, if BM∩AP=O, AAOM=45 dm2, ABOP=15 dm2, and AAOB=75 dm2. I WILL GIVE YOU BRAINLIEST PLS HELP.

Answers

First calculate the Area of MOP by using congruent altitudes.

(Area MOP)/(Area AOM) = PO/OA = (Area BOP)/(Area AOB)

Area MOP = (Area AOM)*(Area BOP)/(Area AOB) = (45)*(15/75) = 9.

Now, let Area CMP = x. And use two sets of triangles with congruent altitudes.

(Area CMP)/(Area BMP) = x/(9+15) = x/24 = (CP)/(BP).

(Area CAP)/(Area BAP) = (x+54)/90 = (CP)/(BP)

So,

(Area CMP)/(Area BMP) = (Area CAP)/(Area BAP)

or

x/24 = (x+54)/90

90x = 24 (x+54) = 24x + 1296

66x = 1296

x = 19 (7)/(11)

What is 165,023,912 rounded to the nearest 100 million

Answers

200,000,000 will be the answer (:
It would be 200,000,000

Which expressions are differences of squares?Choose all answers that are correct.
(Please explain)
2a^4 – 49b^6


25d^12 – 36f^8


81p^6 – 16q^2


100s^9 – 9t^3

Answers

All of them except for the first one are differences of squares. Differences of squares is a form of factoring perfect squares. A 'perfect square' is just a fancy term that basically means you are doubling a number. Like the number 25 you multiply 5x5 to get that number and if you were to take the square root of that number you would also get 5. For it to be differences of two squares you have to have two numbers that if square rooted (in a calculater if you need one) would turn out to be a whole number or 'perfect'.

Answer:

All are correct but 100s^9-9t^3 this one is incorrect I just took the quiz