All categories

3 years ago

Find the product of both functions: y= 2x - 1 y = -x + 2

Mathematics

1 answer:

nata0808 [166]3 years ago

5 0

Answer:

0.375

Step-by-step explanation:

1.y=2x-1

2.y=-x+2

using substitution method

1.y=2x-1

y+1=2x

the other equation where there is an x will be replaced by a the first equation

2.y=-(y+1)+2

y=-y-1+2

y=-y+1

y+y=1

2y=1

2y/2=1/2

y=0.5

the value of y is 0.5 the value of x would be found by taking the y and replacing it with 0.5 in any of questions one and two.

1.y(0.5)=2x-1

0.5=2x-1

0.5+1=2x

1.5=2x

1.5/2=2x/2

0.75=x

the value of y is 0.5 and x is 0.75

0.5*0.75=0.375

=0.375

You might be interested in

Solve: r 5 - 6 = -1

Leona [35]

That's right, 5- 6= -1

3 0

3 years ago

Read 2 more answers

(1 point) Consider the function f(x)=−x3+2x2+2x+1 Find the average slope of this function on the interval (−2,6). equation edito

Whitepunk [10]

Answer:

Step-by-step explanation:

Given is a function

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

$f(6) = -6^3+2(6^2)+2(6)+1\\=-131\\$

$f(-2) = -(-2)^3+2(-2)^2+2(-2)+1\\=13$

Average slope of this function is change of f(x) in (-2,6)/change of x in (-2,6)

= $\frac{-131-13}{8} \\=-18$

By mean value theorem there exists a c such that f'(c) = -18

i.e. $-3x^2+4x+2 =-8\\3x^2-4x-10 =0\\$

Using quadratic formula

x = 2.61, -1.277

Out of these only 2.61 lies in the given interval

c = 2.61

7 0

3 years ago

A base of ten raised to a negative exponent corresponds to a number that is-

Masteriza [31]

Answer:

A base of ten raised to a negative exponent corresponds to a number that is between 0 and 1.

Step-by-step explanation:

A base of ten raised to a negative exponent, say - 1 will correspond to the number, $10^{- 1} = \frac{1}{10^{1}} = \frac{1}{10}$ .

Again, a base of ten raised to a negative exponent, say - 2 will correspond to the number, $10^{- 2} = \frac{1}{10^{2}} = \frac{1}{100}$ .

{Since we know the property of exponents as $x^{- a} = \frac{1}{x^{a}}$ }

Therefore, all those numbers are between 0 and 1.

Hence, a base of ten raised to a negative exponent corresponds to a number that is between 0 and 1. (Answer)

3 0

3 years ago

Help ASAP please I need the answers please please

max2010maxim [7]

Answer:

1 is adjacent and linear pair 2 is adjacent and not linear pair 3 is not adjacent and not linear pair

Step-by-step explanation:

4) angle 4and5 are adjacent

5)angle 1and4 are linear pair

6)angle 2and3 are linear pair

5 0

2 years ago

If a windshield wiper covers an area of approximately 160 square inches when it rotates at an angle of 84°, find the length of t

sergey [27]

General Idea:

We can use the below formula to find the area of sector (A), when angle of sector and radius is given:

$A=\frac{\theta}{360} \cdot \pi \cdot r^2$

Applying the concept:

We need to substitute 84 for $\theta$ and 160 for A in the above formula:

$160 = \frac{84}{360} \cdot \pi \cdot r^2\\ Solving \; for \; r\\ \\ \frac{84\pi}{360} \cdot r^2=160\\ Multiply \; the \;reciprocal\; \frac{360}{84\pi} \;on\;both\;sides\;of\;the\;equation\\ \\ r^2=160\cdot \frac{360}{84\pi} \\ \\ r^2=\frac{57600}{84\pi} \\Taking \;square\;root\;on\;both\;sides\\ r=\sqrt{\frac{57600}{84\pi}} \approx14.8\; inch$

Conclusion:

If a windshield wiper covers an area of approximately 160 square inches when it rotates at an angle of 84°, the length of the wiper to the nearest tenth of an inch is 14.8

6 0

2 years ago