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11Alexandr11 [23.1K]
2 years ago
8

Help please! I'm the worst at math. :(

Mathematics
1 answer:
Artist 52 [7]2 years ago
3 0
Points of intersection are (0,0),(0,8),(10,0),(4,6) plugging them into the equation you get 0,24,10,22. I don't know if you're looking for max value or min value.
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Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))
horsena [70]

\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\

\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]

6 0
2 years ago
Answer questions a) and b)
Mariulka [41]

Answer:

x\hookrightarrow -1\hookrightarrow 0\hookrightarrow 1\hookrightarrow 2\hookrightarrow 3\hookrightarrow 4\hookrightarrow 5

y\hookrightarrow 5\hookrightarrow 0\hookrightarrow -3\hookrightarrow -4\hookrightarrow -3\hookrightarrow 0\hookrightarrow 5

The curve (B) matches the graph of y=x²-4x.

----------\\Hope \ it\;helps

4 0
3 years ago
Can someone help me with this?
algol13

Answer: x=12

Step-by-step explanation:

we know that sum of a triangle is 180 degrees

one angle is 90 degree

the sum will be 90+(2x+1)+(5x+5)=180

substract 90 from both sides

2x+1+5x+5=180-90

7x+6=90

7x=90-6

divide by 7

x=12

8 0
3 years ago
Evaluate the geometric series. Round to the nearest hundredth. Please help me!!!
kari74 [83]

Answer:

62.34

Step-by-step explanation:

Substitute n = 0 to n = 5 into the expression and sum the terms, that is

3 [ (\frac{3}{2}) ^{0}  + (\frac{3}{2}) ^{1} + (\frac{3}{2}) ^{2} + (\frac{3}{2}) ^{3} + (\frac{3}{2}) ^{4} + (\frac{3}{2}) ^{5} ]

= 3 [ 1 + \frac{3}{2} + \frac{9}{4} + \frac{27}{8} + \frac{81}{16} + \frac{243}{32} ]

= 3( \frac{665}{32} )

= 3 × 20.781

= 62.34 ( to the nearest hundredth )

5 0
3 years ago
What's the Y-intercept and the slope of the following equation x–5=y
forsale [732]

Answer:

slope is 1 and y-intercept is (0,-5)

Step-by-step explanation:

3 0
3 years ago
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