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2 years ago

Let f(x)=(5)x+12. Evaluate f(0) without using a calculator.

Mathematics

1 answer:

Lelu [443]2 years ago

8 0

Answer:

f(0) = 12

Step-by-step explanation:

You want to substitute 0 for x

f(0) = 5(0) + 12

f(0) = 12

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32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash registe

weqwewe [10]

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

$P(X=x)= \ ^nC_xp^x(1-p)^{n-x}$

Now, the probability that eight receipts will show that the above three food items were ordered :

$P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023$

hence, the required probability = 0.0023

8 0

2 years ago

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4

fomenos

Answer:

x g(x)

1 −10

2 −12

3 −14

Step-by-step explanation:

Substitute the values and do the arithmetic.

Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.

f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic

g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice

6 0

2 years ago

Solve for a.<br> a^2=-3a+88

Sergio [31]

Answer:

$a=8,-11$

Step-by-step explanation:

$a^2=-3a+88$

$a^2+3a=88$

$a^2+3a-88=0$

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-3\pm\sqrt{3^2-4(1)(-88)} }{2(1)}$

$x=\frac{-3\pm\sqrt{9+352} }{2}$

$x=\frac{-3\pm\sqrt{361} }{2}$

$x=\frac{-3\pm19 }{2}$

$x=-11$ and $x=8$

Therefore, the values of $a$ are 8 and -11.

5 0

1 year ago

3-(x-1)=-1-(5-x) pls help

Alika [10]

Answer:

$- 3(x - 1) = - 1(5 - x) \\ \\ 3 - x + 1 = - 5 + x \\ \\ - x - x = - 5 - 3 - 1 \\ \\ - 2x = - 5 - 3 - 1 \\ \\ - 2x = - 9 \\ \\ x = \frac{ - 9}{ - 2} \\ \\ x = 4.5$

3 0

2 years ago

Help please! I need answers quickly :((

Rzqust [24]

Answer:

y = - $\frac{1}{2}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-2}{4-0}$ = $\frac{-2}{4}$ = - $\frac{1}{2}$

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = - $\frac{1}{2}$ x + 2 ← equation of line

5 0

2 years ago

Read 2 more answers