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PolarNik [594]
3 years ago
6

PLEASE HELP ASAP!!!!

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0
The answer is <span>A.) F(x) = 10(2.5)^x</span><span>.

</span>Since our base (2.5) is greater than 1, our graph would be increasing, hence it matches the given graph (it increases to the right, or towards quadrant I). Now all we need to do is solve for the y-intercept:
   F(x) = 10(2.5)^x
   F(0) = 10(2.5)^0 [substitute 0 in for x]
   F(0) = 10(1) [any number raised to 0 would always equal 1]
   y-intercept: 10 
Now does it match the graph? <span><em>Yes, it does.</em>
</span>
Thus, our exponential function for this graph would be F(x) = 10(2.5)^x.
<em /><u>Tip for life</u>: When solving for the y-intercept of exponential functions, our y-intercept is always the number in front of the base (in this case, <u /><u><em>10</em></u>(2.5)^x).

<em>Hope this helps.</em>
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3 years ago
The ratio of boys to girls in math classes is 5 :7. if there are 60 students in all or her classes, how many are boys
daser333 [38]
Total of ratio 5+7=12

60/12 = 5

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6 0
3 years ago
HELP ME PLEASE I NEED THIS LOVE U GUYS &lt;33
Sedaia [141]

Answer:

\huge\boxed{\sf Volume = 384 \ cm^3}

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

<u>Finding the Height using Pythagorean Theorem:</u>

\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm

\rule[225]{225}{2}

<u>Now, Finding the volume:</u>

\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}

\rule[225]{225}{2}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
8 0
3 years ago
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop
LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0
3 years ago
This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can
Readme [11.4K]

Answer:

y=6x+3

Step-by-step explanation:

8 0
3 years ago
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