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3 years ago

Two children want to race around the city block. The length of the block is 80 yards. The width of the block is 60 yards.

Mathematics

2 answers:

kumpel [21]3 years ago

7 0

I thank it is a. yards i am no sure that is right

Degger [83]3 years ago

4 0

The distance run is in yards

Its A

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What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

The correct question is

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

Verify

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

If the roots of a quadratic equation are 1±√5, then the product of the roots is

Drupady [299]

The plus-minus sign represents that there are two possible outcomes.

In this case, we have $1 \pm \sqrt{5}$ . When we branch out the possibilities we got 2 values: $1 + \sqrt{5}$ and $1 - \sqrt{5}$

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: $(1 + \sqrt{5}) \times( 1 - \sqrt{5})$

When we FOIL the we get: $1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}$

Simplify:
$1 - \sqrt{5} + \sqrt{5} - 5$
$1 - 5 = 6$

So the product of the two roots of this equation is 6.

5 0

3 years ago

Read 2 more answers

Simplify the expression: –3(3 + 2n)

noname [10]

Answer:

-9 - 6n is the answer

8 0

3 years ago

Read 2 more answers

Paolo Portraits charges $15 per photo with no sitting fee. The graph shows the fees for clear image studio.Compare the functions

liubo4ka [24]

Answer:

The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.

Step-by-step explanation:

The rate of change represent the change in one variable with respect to another variable. It also known as slope.

It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.

The function for Paolo Portraits charges is defined as

$f(x)=15x$

From the given graph it is noticed that the line is passing through the points (0,0) and (1,12).

The slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12$

The function for clear image studio is

$g(x)=12x$

It means the rate of change of clear image studio is $12 per photo.

The rate of change of Paolo Portraits is more than rate of change of clear image studio.

Therefore Paolo Portraits charges are higher than the clear image studio.

3 0

3 years ago

Please help me please and thank you

Likurg_2 [28]

Answer:

f(x)= x^2 - 2, the one in red.

Step-by-step explanation:

To move a quadratic function up/down, you change the value at the very end of the formula.

So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.

6 0

3 years ago