12z - 3 ≥ 2z - 15 it says my question is too short, so here are more characters.

strojnjashka [21]

Twenty-six thousand, eight hundred fifty-one and three hundred seven thousandths.

Hope I helped! ( Smiles )

5 0

3 years ago

A computer sells for $610. It is now on sale for 1/5 off the original price. Derek has a coupon for an extra 10% off the sale pr

belka [17]

Derek will pay $625.25 less than the original prize

Step-by-step explanation:

The selling price of the computer=$610

The selling prize is 1/5 of its original prize

Derek has a 10% off coupon

Let the original prize of the computer=x

selling prize=x-x/5

4x/5=610

4x=3050

x=3050/4=762.5

$The\ prize\ at\ which\ Derek\ will\ buy\ the\ computer=x \times 1/5 \times (100-10)/100\\=x\times 1/5 \times 90/100\\=9x/50\\$

the difference in the original prize and the prize at which Derek bought the computer=x-9x/50

=41x/50

$41 \times 762.5/50\\=$625.25$

Derek will pay $625.25 less than the original price for the computer.

8 0

3 years ago

Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?

Rus_ich [418]

Answer:

The x-intercepts of the function are $x = 3$ and $x = -5$ .

Step-by-step explanation:

We are given the function $\displaystyle f(x) = x^2 + 2x - 15$ .

In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.

The parent function for a quadratic is $f(x) = ax^2 + bx + c = 0$ .

We can use this information to determine what factoring technique we want to use.

There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.

We see that our a is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:

Find what factors of c add up to give you b.
Add to x if positive or subtract from x if negative and set it equal to zero.
Solve for x - these are your x-intercepts.

Therefore, let's determine what our c is: 15.

Now, let's label the factors for 15.

15 cannot be divided by 2 evenly.
15 can be divided by 3 evenly: 15/3 = 5
15 cannot be divided by 4 evenly.
15 can be divided by 5 evenly: 15/5 = 3

Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).

Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:

$5 + -3 = 2$
$-5 + 3 = -2$

Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.

Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.

$x + 5 = 0\\\\x = -5$

$x - 3 = 0\\\\x = 3$

Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.

Our answers are x = -5 and x = 3.

4 0

3 years ago

How do i Evaluate this expression?

timofeeve [1]

$\text{Hey there!}$

$\bf{9.83+8.2(7.01)}$

$\text{You could solved this equation by doing PEMDAS}$

$\text{PEMDAS simply means}\downarrow$

$\text{Parentheses }$

$\text{Exponents}$

$\text{Multiplication}$

$\text{Division}$

$\text{Addition}$

$\text{Subtraction}$

$\text{In your equation you have \bf{MULTIPLICATION \& ADDITION}}$

$\text{Now, that we have every information we need.. lets solve the problem}$

$\text{We have to do \underline{MULITPLICATION} first then \underline{ADDITION} last}$

$\text{9.83 + 8.2(7.01)}$

$\text{8.2(7.01)=57.482}$

$\text{9.83 + 57.482 = 67.312}$

$\boxed{\boxed{\text{Thus your answer is most likely: \bf{67.312}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFIrst:)}$

3 0

3 years ago

The total body surface area, or BSA, of a human is difficult to calculate. There are various models that estimate BSA based on a

FromTheMoon [43]

Answer:

173 cm

105 kg

Step-by-step explanation:

Given :

BSA= √wh /3600

where w = weight in kg and h = height in cm.

A.)

w = 75 kg ; BSA = 1.9 ; h =?

BSA= √wh /3600

1.9 = √75h /3600

Take the square of both sides

1.9² = 75h /3600

1.9² * 3600 = 75h

12996 = 75h

h = 12996 / 75

h = 173.28 cm

h = 173 cm

B.)

h = 166 ; BSA = 2.2

BSA= √wh /3600

2.2 = √w166 /3600

Take the square of both sides

2.2² = 166w /3600

2.2² * 3600 = 166w

17424 = 166w

w = 17424 / 166

w = 104.96 kg

w = 105 kg

7 0

3 years ago