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2 years ago

Use the following function rule to find f(0). f(x)=3(8)^x + 6 f(0)=

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

Answer:

Answer: 9

Step-by-step explanation:

${ \tt{f(x) = 3( {8)}^{x} + 6 }}$

• For f(0), substitute x with zero:

${ \tt{f(0) = 3( {8)}^{0} + 6}} \\ \\ { \tt{f(0) = (3 \times 1) + 6}} \\ \\ { \tt{f(0) = 3 + 6}} \\ \\ { \boxed{ \tt{ \: f(0) = 9 \: }}}$

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Select all the points that are on the line through (0 5) and (2 8) A.(5 11) B.(5 10) C.(6 14) D.(30 50) E.(40 60)

mihalych1998 [28]

Answer:

Options C. and D. are correct.

Step-by-step explanation:

Let $(x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)$

Equation of a line is given by $y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-5=(\frac{8-5}{2-0})(x-0)\\\\y-5=\frac{3}{2}x\\\\2y-10=3x\\3x-2y+10=0$

Put $(x,y)=(5,11)$

$3(5)-2(11)+10=15-22+10=3\neq 0$

Put $(x,y)=(5,10)$

$3(5)-2(10)+10=15-20+10=5\neq 0$

Put $(x,y)=(6,14)$

$3(6)-2(14)+10=18-28+10=0$

Put $(x,y)=(30,50)$

$3(30)-2(50)+10=90-100+10=0$

Put $(x,y)=(40,60)$

$3(40)-2(60)+10=0\\120-120+10=10\neq 0$

So, points $(6,14),\,(30,50)$ satisfy the equation $3x-2y+10=0$

Therefore,

points $(6,14),\,(30,50)$ lie on the line through $(0,5)$ and $(2,8)$

Options C. and D. are correct.

8 0

3 years ago

Please help me out with this one! I need step by step instructions (30 points!)

jolli1 [7]

Answer:

WAT DO U MEAN 30 POINTS UR ONLY GIVING 5

Step-by-step explanation:

ITS LITTERALLY RIGHT NEXT TO IT

8 0

2 years ago

If 5x – 4 = 31, what is the value of x?

Lunna [17]

Answer:

x = 5 $\frac{2}{5}$

Step-by-step explanation:

Hi there!

So, to answer this problem, I'll use the reverse method.

31 - 4 = 27,

So how many times, can 5 go into 27?

The closest factor of 5 to 27 is 25.

5 can go in to 27, 5 times.

Continuing on, there is a 2 left over, so the answer to your question is

x = 5 $\frac{2}{5}$

5 · 5 $\frac{2}{5}$ - 4 = 31

Let me know if I am incorrect and I will attempt to find the right answer for you.

<em>waffletowne</em>

7 0

2 years ago

Read 2 more answers

An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of 0.75, what is the length of

elena55 [62]

The length of each side is 28 cm.
the perimeter of the equilateral triangle is 48 cm. To find each side of the original triangle, you do 48/3=16cm. since the triangle dilate by 0.75, then you can just do 0.75*16=12cm. then you have to add 12 to 16 because the triangle gets bigger by 12 cm. so 16+12=28 cm.

4 0

3 years ago

Is this a right triangle yes or no ?

slega [8]

Answer:

I don't think so, regular triangle sizes are 3, 4,5. If I am wrong please tell me.

Step-by-step explanation:

3 0

3 years ago