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2 years ago

What is the product of 1/2 x - 1/4 and 5x^2 - 2x + 6? Write your answer in standard form?

Mathematics

1 answer:

marta [7]2 years ago

3 0

Answer:

for a. you will first solve 5x²-2x+6 with

x=-b ± ✓b²-4ac

----------------

then put the two answers you will get into a bracket then multiply it with 1/2x - 1\4

then write in form of dis :- A ×10^n

Step-by-step explanation:

b. the two products are not the same

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Given the function g(x) = x2 + 10x + 20, determine the average rate of change of

Dmitrij [34]

A function assigns the values. The average rate of change for the given function g(x) is 1.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The average rate of change of a function is given by the formula,

Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]

Where a is the lower limit and b is the upper limit.

Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,

a = 0

g(a) = 0²+10(0)+20 = 20

b = -9

g(b) = (-9)²+10(-9)+20 = 11

The average rate of change for the function g(x), can be written as,

$\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1$

Hence, the average rate of change for the given function g(x) is 1.

Learn more about Function:

brainly.com/question/5245372

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8 0

2 years ago

Given: ST ║ RP , SD ⊥ PR , SP = TR, SD = 5, ST = 15, PR = 24 Find: m∠P, m∠PST, m∠T, m∠R, PS, TR

makkiz [27]

Answer:

Part 1) $m\angle P=48.01^o$

Part 2) $m\angle PST=131.99^o$

Part 3) $m\angle T=131.99^o$

Part 4) $m\angle R=48.01^o$

Part 5) $PS=\sqrt{45.25}\ units$ , or $PS=6.7\ units$

Part 6) $TR=\sqrt{45.25}\ units$ , or $TR=6.7\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

In this problem we have an isosceles trapezoid

Part 1) Find the measure of angle P

Find the value of side PD

we have that

$PR=PD+ER+ST$ ---> by addition segment postulate

$PD=ER$ ----> by isosceles trapezoid

$PR=2PD+ST\\PD=(PR-ST)/2$

substitute the given values

$PD=(24-15)/2$

$PD=4.5\ units$

In the right triangle PSD

$tan(P)=\frac{SD}{PD}$

$P=tan^{-1}(\frac{SD}{PD})$

substitute the given values

$m\angle P=tan^{-1}(\frac{5}{4.5})$

$m\angle P=48.01^o$

Part 2) Find the measure of angle PST

we know that

In a trapezoid ST ║ RP

$m\angle P+m\angle PST=180^o$ ---> by consecutive interior angles

we have

$m\angle P=48.01^o$

substitute

$48.01^o+m\angle PST=180^o$

$m\angle PST=180^o-48.01^o$

$m\angle PST=131.99^o$

Part 3) Find the measure of angle T

we know that

In this problem we have an isosceles trapezoid

$m\angle T=m\angle S$

we have

$m\angle PST=m\angle S=131.99^o$

therefore

$m\angle T=131.99^o$

Part 4) Find the measure of angle R

we know that

In this problem we have an isosceles trapezoid

$m\angle R=m\angle P$

we have

$m\angle P=48.01^o$

therefore

$m\angle R=48.01^o$

Part 5) Find the measure of segment PS

we know that

In the right triangle PSD

Applying the Pythagorean Theorem

$PS^2=SD^2+PD^2$

substitute the given values

$PS^2=5^2+4.5^2$

$PS^2=45.25$

$PS=\sqrt{45.25}\ units$

$PS=6.7\ units$

Part 6) Find the measure of segment TR

we know that

TR=PS ---> by isosceles trapezoid

we have

$PS=\sqrt{45.25}\ units$

therefore

$TR=\sqrt{45.25}\ units$

$TR=6.7\ units$

3 0

4 years ago

I need help with this pls

Bess [88]

Answer:

1). y = -3 - 7
2). 1/4
3). 1. 117° 2. 63°
4). There are 42 students in the yearbook club and 61 in the drama club
5). 1). both are 45 ° 2). both are 3 units

Step-by-step explanation:

6 0

2 years ago

Two tanks hold a total of 39 gallons of a toxic solvent one tank holds 3 gallons more than twice the amount in the other how man

diamong [38]

2x + 3 + x = 39
3x + 3 = 39
3x = 36
x = 12

One tank holds 12 gallons
The other tank holds 27 gallons

6 0

2 years ago

Read 2 more answers

What is the greatest possible turning points of f(x) = 6x^4+11^3-x^2+x^7

Strike441 [17]

Answer:

An "n" degree polynomial can have up to (n - 1) turning points. So this function will have 3 turning points.

Step-by-step explanation:

Look at the first 6x^4. "n" in this is the exponent which is 4.

4 - 1 is 3. So there will be 3 turning points.

The "n" value is also even degree. So both ends of the function will end in the same direction (High to High or Low to Low depending on if the function has a negative or positive at the start)

5 0

2 years ago