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3 years ago

(43x - 10y) + (40x + 42y)

Mathematics

1 answer:

scZoUnD [109]3 years ago

6 0

Answer:

$The~answer~you~should~be~getting~is:83x+32y$

Step-by-step explanation:

$First,~combine~the~like~terms~-$

$=43x+-10y+40x+42y\\=(43x+40x)+(-10y+42y)\\=83x+32y$

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Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

6 0

3 years ago

What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%

77julia77 [94]

Answer:

4.56

Step-by-step explanation:

"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...

Io = Prt = 5000(0.12)(200/360) = 333.33

Ie = Prt = 5000(0.12)(200/365) = 328.77

The difference is ...

333.33 -328.77 = 4.56 . . . the difference in interest values

_____

<em>Additional comment</em>

The question asks for the difference between exact and ordinary interest, so the result is technically negative:

328.77 -333.33 = -4.56

6 0

3 years ago

A rectangle deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq.ft By ho

Reika [66]

X= increased amount
L= length
W= width

The area formula is Area= L * W. Since length and width are increased, we need to increase each before adding them to the formula.

L= 12 + x
W= 14 + x

L * W= Area
(12 + x) (14 + x)= 288
multiply each parentheses

(12*14) + (12*x) + (x*14) + (x*x) = 288
168 + 12x + 14x + x^2= 288

x^2 + 26x + 168= 288
subtract 288 from both sides

x^2 + 26x - 120= 0
factor with two numbers that add to 26 and multiply to -120

(x - 4) (x + 30)= 0
set each number equal to zero

x - 4= 0
x= 4

x + 30= 0
x= -30

ANSWER: Length and width are both increased by 4 feet. -30 cannot be a solution because it is negative and we know the answer has to be a positive number.

Hope this helps! :)

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3 years ago

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Five times a certain number, minus 5 is equal to 7 more than three times the number

Kazeer [188]

Let’s start with putting the unknown to x, in this case it is the number.

5x-5=7+3x, so now we just solve this equation.

5x-3x=7+5
2x=12
x=6

the number is 6

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3 years ago

The estimated total cost, y, of a child's toy is partially based on the number of batteries used,

Harman [31]

Answer:

Step-by-step explanation:

its number B

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3 years ago

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