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2 years ago

Which pair of expressions is equivalent

Mathematics

1 answer:

blsea [12.9K]2 years ago

5 0

Answer:

12x+6 and 6(2x)+3(2)

Step-by-step explanation:

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A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx-5. What values of the slope o

irakobra [83]

You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6

7 0

3 years ago

YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:

Sergio [31]

Answer:

Step-by-step explanation:

6 0

2 years ago

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A 16-ounce of shampoo cost $4.69. What is the price per ounce, rounded to the nearest cent

elixir [45]

Answer:

A, 0.29

Step-by-step explanation:

Since 16 ounces cost 4.69, 1 ounce costs 4.69 divided by 16. This is roughly 0.29, which would then be A.

6 0

2 years ago

Solving one-step inequalities by multiplying/dividing <img src="https://tex.z-dn.net/?f=14v%20%5Cleqslant%2014" id="TexFormul

liubo4ka [24]

Answer: v <= 1

Step-by-step explanation:

When you have a variable by a number, you do the opposite of multiplying, so you divide

Since there's only 14v you divide 14 from itself leaving just the variable

14 ÷ 14 = 1

You repeat this and divide on the other side

14 ÷ 14 = 1

Since you arent dividing by a negative on both sides, the arrow stays the same

v <= 1

Hope this helps!

5 0

3 years ago

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

umka21 [38]

Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), $x=6$ and $x=18$ are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
$x=6$
$x-6=0$
$x=18$
$x-18=0$

$(x-6)(x-18)=x^{2}-6x-18x+108$
$=x^{2}-24x+108$

Now that we have our quadratic function, we are going to use the average formula: $m= \frac{f(9)-f(3)}{9-3}$
$where$
$f(9)$ is the function evaluated at the 9th month
 $f(3)$ is the function evaluated at the 3rd month

$m= \frac{f(9)-f(3)}{9-3}$
$m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}$
$m= \frac{-27-45}{6}$
$m= \frac{-72}{6}$
$m=-12$

We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: B. −11.63 dollars per month.

6 0

2 years ago

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