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Sedbober [7]
3 years ago
5

The difference of 6 and the square of a number. help plzz

Mathematics
2 answers:
miskamm [114]3 years ago
6 0

Answer:

the difference is -6

Step-by-step explanation:

number=6

square=2x

2x-6

Pie3 years ago
5 0

Answer:

Step-by-step explanation:

The number is x. Difference means subtract. from indicates what is behind the minus sign

6 comes first

then the minus signs

x is squared and becomes x^2

difference is 6 - x^2

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Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
scoray [572]

9514 1404 393

Answer:

  • 7 forks
  • 20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

  • a b c a
  • d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0
2 years ago
Which equation is equivalent to sqrt x +11=15
Bas_tet [7]

Answer:

x=16

Step-by-step explanation:

We are given that

\sqrtx+11=15

we have to solve this equation for x

in order to do that we need to isolate x first

hence

subtracting 11 from both sides we get

\sqrtx+11-11=15-11

\sqrtx=4

Now we square on both sides we get

(\sqrtx)^2=4^2

x=4 \times 4

x=16

hence x =16

3 0
3 years ago
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almond37 [142]
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3 0
3 years ago
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A car averaged 48 miles per hour traveling 672 miles from Washington to Orlando. How long was the trip?
lora16 [44]
14 hours
672 miles / 48 mph = 14 hours total

4 0
3 years ago
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Find the value of -1 -6.​
s344n2d4d5 [400]

Answer:

-7

Step-by-step explanation:

-1-6 is like 1+6 but with a negative sign before it.

6 0
3 years ago
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