Help with math please

Mathematics

1 answer:

JulijaS [17]4 years ago

5 0

You can first multiply your coefficients (7x9), which gives you 63. You can then simplify the exponents by using the rule that when two terms with the same variable are being multiplied, you can simplify by adding exponents. Since 7+3= 10, your simplified answer would be 63x^10 :) hope it helped!

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Determine the axis of symmetry and the vertex of the given function.<br> y = 2x2 - 12x + 21

mestny [16]

Answer:

the vertex is ( 3 , 3)

Symetric axis‘s equation: x = 3

Step-by-step explanation:

Let‘s name the function ” f ”

f(x) = y = 2x² - 12x + 21

the vertex has coordinates of ( -b/2a , f(-b/2a) )

-b/2a = 12/2(2) = 12/4 = 3

f(-b/2a) = f(3) = 2(3)² - 12(3) + 21 = 3

then the vertex is ( 3 , 3)

the symetric axis has the equation :

x = -b/2a

then

4 0

3 years ago

Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.

Sindrei [870]

Answer:

9/4 (1.75 - 21/4)

=9/4 (1.75 - 5.25)

=2.25 -3.5

= -1.25

I think your f answer is wrong

there should be -1.25

4 0

3 years ago

Please answer with explanation, I don't understand.<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-14x%2B49%7D%20%3Dx

Crank

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

$x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49$

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

$x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7$