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salantis [7]
3 years ago
14

Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. In y

our final answer, include the table of function values. f(x) = 2x h(x) = x3 + x + 8
Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0
F(x) = 2^x; h(x) = x^3 + x + 8

Table


x      f(x) =  2^x             h(x) = x^3 + x + 8

0      2^0 = 1                0  + 0 + 8 = 8

1     2^1 = 2                 1^3 + 1 + 8 = 10

2      2^2 = 4                2^3 + 2 + 8 = 8 + 2 + 8 = 18

3      2^3 = 8                3^3  + 3 + 8 = 27 + 3 + 8 = 38

4      2^2 = 16              4^3 + 4 + 8 = 76

10    2^10 = 1024       10^3  +10 + 8 = 1018

 9      2^9 =   512        9^3 + 9 + 8 = 729 + 9 + 8 = 746

Answer: an approximate value of 10
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Step-by-step explanation:

660 inches

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The risk of a child developing cancer is approx 3 in 1500. If there are approx 11,721,722 children, how many have cancer?
Maslowich

Answer:

Approximately 23,433 children will have cancer.

Step-by-step explanation:

3/1500 can be simplified to 1/500, which can also be written as 0.002. To find the number of children who have cancer, we do 11,721,722 * 0.002, which gives us 23,433.444 which we can round to 23,433.

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Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full cred
Tasya [4]

y=-4-x

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The type of equation is consistent because they intersect at ( -1,-3 )



8 0
3 years ago
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In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Goshia [24]

Step-by-step explanation:

✰ \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} :

  • AD = 15 , AB = 8 , \angle DAB

✰ \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} :

  • Height & Area of the given parallelogram

✰ \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I\: O \: N}}}} :

In right angled triangle ABE :

  • Hypotenuse ( h ) = 8
  • Perpendicular ( p ) = h [ height ]
  • \theta = 20°

Now , Using trigonometric ratio :

\large{ \tt{Sin \theta \:  = \:  \frac{Perpendicular}{Hypotenuse}  }}

Plug the known values :

⟶ \large{ \tt{ Sin(20)  =  \frac{h}{8} }}

⟶ \large{ \tt{0.34 =  \frac{h}{8}}}

⟶ \large{ \tt{h = 0.34 \times 8}}

⟶ \large{ \tt{h = 2.72}}

Now , We have :

  • Base ( b ) = 15
  • Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ \underline{ \underline{ \text{Area \: of \: parallelogram =  \tt{b   *\:  h}}}}

⟶ \large{ \tt{A = 15  *2.72}}

⟶ \large{ \tt{A = 40.8 \:  {units}^{2} }}

Hence , Our final answer :

\large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}

\large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \:  {units}^{2} }}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# \underbrace{ \tt{Carry \: On \: Learning}} !! ✎

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3 0
3 years ago
Sarah is baking cookies to put a package is for a Fund raiser. She has made 26 chocolate chip cookies and 42 sugar cookies. She
creativ13 [48]

may i please get brainlyest She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookies.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

Though the chocolate chip cookies can make 43 packs, the sugar cookies cannot fulfill the extra pack for it only has 42 pieces. That is why the maximum number of package that  has identical content is 42 packages.

6 0
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