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2 years ago

12

The summer youth camp is going on an excursion to atlantis Amusement Park. 50% of the 78 students that are going want to go to t

he Sinking Of Atlantis first.How many students want to visit the sinking of Atlantis first?

1 answer:

wel2 years ago

7 0

Answer:

78*50/100= 78/2 ( half of 78) = 39

Step-by-step explanation:

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6: REDUCE to simplest term. 4/1 + 15/2

vovangra [49]

Answer:

$\frac{4}{15}+\:\frac{1}{2}$ in the simplest term is:

$\frac{4}{15}+\frac{1}{2}=\frac{23}{30}$

Step-by-step explanation:

Given the expression

$\frac{4}{15}+\:\frac{1}{2}$

Thus, solving to reduce to the simplest term

$\frac{4}{15}+\frac{1}{2}$

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

$\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}$

Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{8+15}{30}$

Add the numbers: 8+15 = 23

$=\frac{23}{30}$

Therefore, $\frac{4}{15}+\:\frac{1}{2}$ in the simplest term is:

$\frac{4}{15}+\frac{1}{2}=\frac{23}{30}$

4 0

2 years ago

Solve 0 = (x – 4)2 – 1 by graphing the related function.

fomenos

Answer:

Therefore, the solutions of the quadratic equations are:

$x=5,\:x=3$

The graph is also attached.

Step-by-step explanation:

The solution of the graph could be obtained by finding the x-intercept.

$y=\left(x-\:4\right)^2-1$

Finding the x-intercept by substituting the value y = 0

so

$y=\left(x-\:4\right)^2-1$

$\:0\:=\:\left(x\:-\:4\right)^2\:-\:1$ ∵ y = 0

$\left(x-4\right)^2-1=0$

$\left(x-4\right)^2-1+1=0+1$

$\left(x-4\right)^2=1$

$\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$\mathrm{Solve\:}\:x-4=\sqrt{1}$

$\mathrm{Apply\:rule}\:\sqrt{1}=1$

$x-4=1$

$x=5$

$\mathrm{Solve\:}\:x-4=-\sqrt{1}$

$\mathrm{Apply\:rule}\:\sqrt{1}=1$

$x-4=-1$

$x=3$

So, when y = 0, then x values are 3, and 5.

Therefore, the solutions of the quadratic equations are:

$x=5,\:x=3$

The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.

8 0

2 years ago

alexdok [17]

Answer:

Rx)=1/3x^2

Step-by-step explanation:

A horizontal stretch is simply making the parabola of the parent function wider, it's kind of like changing the slope of a line to make it less steep.

In the graph, the red line is the parent function and the blue line is the horizontally stretched function. See how the blue line appears to be stretched (horizontally).

4 0

2 years ago

Hat is the equation of the quadratic function with a vertex at (2,–25) and an x-intercept at (7,0)?

Novosadov [1.4K]

Answer:

y = x² - 4x - 21

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 25), thus

y = a(x - 2)² - 25

To find a substitute (7, 0) into the equation

0 = a(7 - 2)² - 25 = a(5)² - 25 = 25a - 25 ( add 25 from both sides )

25a = 25 ( divide both sides by 25

a = 1, thus

y = (x - 2)² - 25 ← in vertex form

Expand and simplify

y = x² - 4x + 4 - 25

y = x² - 4x - 21 ← in standard form

8 0

2 years ago

seropon [69]

Answer:

0.246¯¯¯¯ written as a fraction in simplest form?

the answer is 1000÷246

8 0

3 years ago