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3 years ago

Evaluate; f(n) = n- 8n² + 13n + 8 at n = 5 *

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:

-122

Step-by-step explanation:

f(5)= 5- 8×5² + 13×5 +8

= 5 - 200+ 65+8

=78 -200

= -122

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It takes 10 3/4 inches of wood to make a frame for a small photo. Ms. Jones has 3 yards of wood. How many frames can she make? H

mixas84 [53]

Answer: 10 frames

Explanation: First, find how many inches are in 3 yards. Since we know 1 yard = 36 inches, we do 36(3) and get 108. Next, we want to divide total inches of wood by inches of wood needed to make a frame. The equation is 108/10.75 and you will get 10 with a lot of decimals. Since she doesn't want to make part of a wood frame, we round down and get our final answer of 10 wood frames.

4 0

3 years ago

20 points helpp!!! i need it to be ready soon:/

Shkiper50 [21]

Answer:

Q7) 25.5

Q8) 25

Q9) 10

Q10) 12.7

Q11) 34

Q12) 24

Step-by-step explanation:

Q7) c² = a² + b²

x² = 18² + 18²

x = √18² + 18²

x = 18√2 = 25.5

Q8) c² = a² + b²

x² = 20² + 15²

x = √20² + 15²

x = 25

Q9) c² = a² + b²

26² = 24² + x²

x = √26²-24²

x = 10

Q10) c² = a² + b²

x² = 9² + 9²

x = √9² - 9²

x = 9√2 = 12.7

Q11) c² = a² + b²

x² = 30² + 16²

x = √30² + 16²

x = 34

Q12) c² = a² + b²

25² = x² + 7²

x = √25² - 7²

x = 24

4 0

3 years ago

A point M on a segment with endpoints X(1, −2) and Y(10, 3) partitions the segment in a 4:1 ratio. Find M. You must show all wor

inna [77]

Answer:

$\displaystyle \: M = \left( 8\frac{1}{5},2\right)$

Step-by-step explanation:

we want to figure out the point "M" which is on a segment with endpoints X(1,-2) and Y(10,3) partitions the segment in a 4:1 ratio.

to find so, we can consider section formula . we know that Section formula is used to find the ratio in which a line segment is divided by a point internally or externally the ratio is written as m:n

however in this case the following formula can be used used:

$\displaystyle \left( \frac{m x_{2} +n x_{1}}{m + n} , \frac{m y_{2} + n y_{1}}{m +n}\right)$

step-1: assign variables

assign variables:

$(x_{1},y_{1}) = (1, - 2)$
$(x_{2},y_{2}) = (10, 3)$
$m : n = 4 :1$

step-2: substitute

$\displaystyle \left( \frac{(4) (10) +(1)(1) }{4 +1} , \frac{(4)(3)+ (1) ( - 2)}{4 +1}\right)$

simplify multiplication:

$\displaystyle \left( \frac{40 + 1 }{4 + 1} , \frac{12+ ( - 2)}{4 + 1}\right)$

simplify addition:

$\displaystyle \left( \frac{41 }{5} , \frac{10}{5}\right)$

simplify division:

$\displaystyle \left( 8\frac{1}{5},2\right)$

hence,

$\displaystyle \: M = \left( 8\frac{1}{5},2\right)$

6 0

3 years ago

Read 2 more answers

Find the surface area for both

Kay [80]

1) 16x16= 256ft
16x3x4= 192ft
add them together
256+192= 448ft2 (2 is the little number at the top next to the unit)

2) 3.14x7(2)= 153.86ft2
and i’m not sure on the other part SORRY

8 0

3 years ago

Matthew pays $24 each month for a health club membership. What is the total yearly amount to be budgeted for the membership?

Mkey [24]

For this case we have that the variable "y" represents the total cost of the annual club membership.

For its part, the variable "x" represents the number of months.

Now, we have the following function:

$y = 24x$