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3 years ago

Given the function f(x) = 7x^2 − 2x + 5. Calculate the following values:

Mathematics

1 answer:

seropon [69]3 years ago

5 0

F(3)=16 i saw this problem before so it should be the answer in the end

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What number completes both equations 1/4 divided 9 =? ? Times 9= 1/4

Dmitry_Shevchenko [17]

4·9 = 9x = 1/4
(36 = 9x = 1/4) ·4
144 = 36x
144/36 = x
x = 4

6 0

3 years ago

What is the y-intercept of the line y = 20x?

OlgaM077 [116]

Answer:

Step-by-step Explanation

$y = 20x \\ \\ y = 20x + 0 \\ \\ equating \: it \: with \\ y = mx + b \\ \\ b = 0 \\ \\ y - intercept \: = 0$

7 0

3 years ago

Read 2 more answers

Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a seco

kari74 [83]

Answer:

C. $\frac{1}{18}$

Step-by-step explanation:

Given: Six cards numbered from $1$ to $6$ are placed in an empty bowl. First one card is drawn and then put back into the bowl then a second card is drawn.

To Find: If the cards are drawn at random and if the sum of the numbers on the cards is $8$ , what is the probability that one of the two cards drawn is numbered $5$ .

Solution:

Sample space for sum of cards when two cards are drawn at random is $\{(1,1),(1,2),(1,3)......(6,6)\}$

total number of possible cases $=36$

Sample space when sum of cards is $8$ is $\{(3,5),(5,3),(6,2),(2,6),(4,4)\}$

Total number of possible cases $=5$

Sample space when one of the cards is $5$ is $\{(5,3),(3,5)\}$

Total number of possible cases $=2$

Let A be the event that sum of cards is $8$

$p(\text{A})$ $=\frac{\text{total cases when sum of cards is 8}}{\text{all possible cases}}$

$p(\text{A})=\frac{5}{36}$

Let B be the event when one of the two cards is $5$

probability than one of two cards is $5$ when sum of cards is $8$

$p(\frac{\text{B}}{\text{A}})=\frac{\text{total case when one of the number is 5}}{\text{total case when sum is 8}}$

$p(\frac{\text{B}}{\text{A}})=\frac{2}{5}$

Now,

probability that sum of cards $8$ is and one of cards is $5$

$p(\text{A and B}=p(\text{A})\times p(\frac{\text{B}}{\text{A}})$

$p(\text{A and B})=\frac{5}{36}\times\frac{2}{5}$

$p(\text{A and B})=\frac{1}{18}$

if sum of cards is $8$ then probability that one of the cards is $8$ is $\frac{1}{18}$ , option C is correct.

3 0

3 years ago

3 /8 + 2/ 3 = 9/ 24 + 16/ 24 = 25/ 24 =

Alchen [17]

Convert the denominator of the first two fractions to 24 since 3 and 8 can fit into 24.

3/8=9/24

2/3=16/24

Now add them together.

9/24+16/24=25/24

Next add the second two fractions 9/24 and 16/24.

9/24+16/24=25/24

Since all fractions equal 25/24, the equation was true!

Hope this helps!

7 0

3 years ago

Find the surface area of each prism

goldfiish [28.3K]

Answer:

Step-by-step explanation:

Surface area = ( 6 *10 ) *3 + ( ( 7*4.87) /2)*2 = 180 + 34.09 = 214.09

Surface area = (5*10) *3 + (( 7*4.2)/2)*2 = 150 +29.4 = 179.4

6 0

3 years ago