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Margaret [11]
3 years ago
10

What digit is in the hundreds period of 4,576,777

Mathematics
1 answer:
Arada [10]3 years ago
4 0
7. The hundreds digit is the first digit of the final set of numbers.
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Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.
Olenka [21]

Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

-6+(-2)= -8

-2*(-6)= 12

now the polynomial quadratic is:

(x+6)(x+2)

7 0
3 years ago
What is the binary number for decimal number 100?
patriot [66]

Answer:

\large\boxed{100_{10}=1100100_2}

Step-by-step explanation:

100:2=50\qquad rest=0\\50:2=25\qquad rest=0\\25:2=12\qquad rest=1\\12:2=6\qquad rest=0\\6:2=3\qquad rest=0\\3:2=1\qquad rest=1\\1:2=0\qquad rest=1\\\\\text{We write from the bottom up}\\\\100_{10}=1100100_2

6 0
3 years ago
Which of the following is the correct graph of the solution to the inequality −18 > −5x + 2 ≥ −48?
monitta

Answer:

Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

Step-by-step explanation:

we have

-18 > -5x+2 \geq -48

Divide the compound inequality into two inequalities

-5x+2 \geq -48 -----> inequality A

-5x \geq -48-2

-5x \geq -50

Multiply by -1 both sides

5x \leq 50

Divide by 5 both sides

x \leq 10

The solution of inequality A is the interval ----> (-∞,10]

All real numbers less than or equal to 10

-18 > -5x+2 -----> inequality B

-18-2 > -5x

-20 > -5x

Multiply by -1 both sides

20 < 5x

Divide by 5 both sides

4 < x

Rewrite

x > 4

The solution of the inequality B is the interval ----> (4,∞)

All real numbers greater than 4

The solution of the compound inequality is

(-∞,10] ∩ (4,∞)= (4,10]

All real numbers greater than 4 and less than or equal to 10

A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

8 0
3 years ago
Read 2 more answers
What is the y intercept of the function f(x)=2 x 3^x
Lelechka [254]

Answer:

(0,2)

Step-by-step explanation:

by substituting 0 for x you can find the y-intercept

f(x)=2*3^x

f(x)=2*3^0

f(x)=2*1

f(x)=2

5 0
3 years ago
The campus bookstore knows from the past several semesters that a certain elementary statistics book has a demand that is approx
Likurg_2 [28]

Answer:

$117

Step-by-step explanation:

Given that:

They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each

Marginal Profit = Marginal Revenue – Marginal Cost.

Marginal Profit = $222 - $105

Marginal Profit = $117

the marginal profit for a single elementary statistics book $117

For the remaining unsold books in the middle of the semester he bundles them up and sells to vendor in another country for $40 each for which he suffers a marginal loss of $105 - $40 = $65 each

5 0
3 years ago
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