Jack was 99 years older than priscilla. together their ages totaled 167167 years. what were their ages?

guajiro [1.7K]

Answer and Step-by-step explanation: Standard form of a quadratic equation is expressed as: y=ax²+bx+c, while vertex form is written as:

y=a(x-h)²+k.

The similarities between standard and vertex forms is that they show if the graph of the equation has a minimum (when a>0) or maximum (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.

The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.

The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.

8 0

3 years ago

If x equals a real number, x^0 equals what?

Stels [109]

Hey there!

$x^0$

Anything to the power of 0 is 1. So that means x can be equal to any number. Let's say 1^0, it will still equal 1. 2^0 is also equal to 1. X is therefore not a number since it can be anything.

$x^0=1$

Hope this helps!

$AT2309$

8 0

4 years ago

Model the following situation with an equation or inequality statement. The quotient of forty-nine and a number is greater than

Assoli18 [71]

Answer:

Equal to 7

Step-by-step explanation:

The way I learned multiplication was with some sayings. "7 times 7 went out to dine, when they came back it was 49"

5 0

3 years ago

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equat

NeTakaya

Answer:

The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

Step-by-step explanation:

Here is the complete question

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

y=35x; y=-0.05(x-400)²+9,492

what does the solution of the system represent in this context?

Solution

The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .

So, 35x = -0.05(x-400)² + 9,492.

Expanding the right side, we have

35x = -0.05(x² - 800x + 160000) + 9492

35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492

35x = -0.05x² +40x - 8000 + 9492

35x = -0.05x² +40x + 1492

Collecting all the terms to the left side, we have

0.05x² - 40x - 1492 + 35x = 0

0.05x² - 5x -1492 = 0

Using the quadratic formula,

$x = \frac{-(-5) +/- \sqrt{(-5)^{2} - 4 X 0.05 X - 1492} }{2X0.05} = \frac{5 +/- \sqrt{25 + 298.4} }{0.1} = \frac{5 +/- \sqrt{323.4} }{0.1}\\= \frac{5 +/- 17.983 }{0.1}\\= \frac{5 - 17.983 }{0.1} or \frac{5 + 17.983 }{0.1}\\= \frac{-12.983 }{0.1} or \frac{22.983 }{0.1}\\= -129.83 or 229.83$

We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.

The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

We confirm that by plugging in x = 229.83 in both equations.

y = 35x = 35(229.83) = 8044.05 ≅ 8044.1

y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1

3 0

4 years ago

Read 2 more answers

Is 3√124 the same as 6√31?

LuckyWell [14K]

No....................

7 0

3 years ago

Read 2 more answers

Jack was 99 years older than priscilla. together their ages totaled 167167 years. what were their​ ages?

Jack was 99 years older than priscilla. together their ages totaled 167167 years. what were their ages?