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3 years ago

What’s the quadratic expression for this one

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

We have the following expression:
(2x + 5) * (7-4x)
Rewriting we have:
14x - 8x ^ 2 + 35 - 20x
Grouping terms with the same exponent:
-8x ^ 2 + x (14-20) + 35
Rewriting:
-8x ^ 2 - 6x + 35
Answer:
the quadratic expression for this is:
-8x ^ 2 - 6x + 35

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What is the midpoint of the segment shown below (2, 4) and (2, -7)

navik [9.2K]

Answer:

(2,-1.5)

Step-by-step explanation:

There are 11 points in between the two points therefore it has to be (2,-1.5)

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3 years ago

141000000 in scientific notation

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2 years ago

Read 2 more answers

How do you calculate square root

Vesna [10]

Answer:

to calculate square root you multiply the number (example 7) by itself (answer to example 49) so the answer form the square root would be 7. it always helped me to do it backwards.

Step-by-step explanation:

It's just multiplying the number by itself

EXAMPLES:

7*7=49 answer 7

2*2=4 answer 2

6*6=36 answer 6

those are a few examples of square roots

8 0

3 years ago

100 POINTS please show your work

Anon25 [30]

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

Part A

Set f(x)=0 and factor the expression by grouping:

$f(x)=2x^2-3x-5\\\\0=2x^2-3x-5\\\\0=2x^2+2x-5x-5\\\\0=2x(x+1)-5(x+1)\\\\0=(2x-5)(x+1)$

Use the Zero Product Property to find the x-intercepts:

$0=2x-5\\5=2x\\x=\frac{5}{2}$

$0=x+1\\x=-1$

Hence, the x-intercepts for the graph of f(x) are $x=-1$ and $x=\frac{5}{2}$ .

Part B

Find the x-coordinate of the vertex:

$x=-\frac{b}{2a}\\ \\x=-\frac{(-3)}{2(2)}\\\\x=\frac{3}{4}$

Find the y-coordinate of the vertex:

$f(\frac{3}{4})=2(\frac{3}{4})^2-3(\frac{3}{4})-5=-\frac{49}{8}$

Hence, the vertex is $(\frac{3}{4},-\frac{49}{8})$ . We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.

Part C

You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is $f(0)=2(0)^2-3(0)-5=-5$ , or $(0,-5)$ as an ordered pair. See attached graph.

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1 year ago

Determine the number of roots of each polynomial equation.

Sunny_sXe [5.5K]

Answer:

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2 years ago