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2 years ago

The sum of the page numbers on the facing pages of a book is 437. What are the page numbers?

Mathematics

1 answer:

dangina [55]2 years ago

8 0

The answer is 218 and 219 assuming I understood the question correctly :)

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

afamily had dinner in a restaurant. If the cost of the cdinner was Rs. 2500, how much did the family pay with 10% service charge

yan [13]

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

3 0

2 years ago

May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.

Slav-nsk [51]

9514 1404 393

Answer:

x = 17
y = 26

Step-by-step explanation:

In the left problem, you use the fact that <em>the sum of the segment lengths is equal to the overall length</em>.

AC +CB = AB

(3x -4) +(x -2) = 62

4x -6 = 62 . . . . . collect terms

4x = 68 . . . . . . . add 6

x = 17 . . . . . . . . . . divide by 4

In the right problem, you use the fact that <em>the sum of the angles is equal to the overall angle</em>. Here, that overall angle is a linear angle, so measures 180°.

∠DFG +∠GFE = ∠DFE

(5y +3) +(2y -5) = 180

7y = 182 . . . . . . . . . . . . . . collect terms, add 2

y = 26 . . . . . . . . . . . . . . . .divide by 7

4 0

2 years ago

The oven tray is 600mm by 500mm. A cake tin is 25cm in diameter. How many cake tins can jenny fit on the oven tray at one time?

MAXImum [283]

We have to convert the measurements
the tray is 60 cm by 50 cm

if the cake tin is 25 cm in diameter, it will fit just 4 cakes because we have a length of 60 cm (will have 10 cm left over) and a width of 50 cm
hope it helps

5 0

3 years ago

Read 2 more answers

A shoe store is having a sale where every pair of shoes cost $15. If you buy more than five pairs, you get a 10℅ discount. How m

IrinaK [193]

The answer is 94.50 so C. I hope this helped. :)

6 0

3 years ago