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2 years ago

All integer are rational number. true or false? please explain

2 answers:

7 0

Of course this is true! Rational numbers are numbers that can be witten as fractions. Intergers are whole numbers and their opposites (negative). So 2 and -3 are intergers, but 3.3 is not because it has a decimal/fraction. All intergers can be written as fractions, so all intergers are ratioanal

Elenna [48]2 years ago

3 0

true because integers are all positive numbers, their opposites (negatives), and zero

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Can someone help me w questions 1 and 2 i’ll give u brainliest

Leni [432]

Answer:

1. x^2+5

2.x^2-6x+9

Step-by-step explanation:

these are just translations up and to the right.

since the f(x)=x^2

the transformations would be

1. g(x)=x^2+5

2.g(x)=(x-3)^2 = x^2-6x+9

4 0

2 years ago

If a jar of salad dressing costs $3.99 for 12 Ounces. How much does it cost per tablespoon?

romanna [79]

I ounce is 2 tablespoons so do 12 times 2 and that is 24 then multiply 3.99 times 2 thats your answer 7.98

4 0

2 years ago

Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0

Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: $x^4+9x^2-4x^2-36$

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: $x^2(x^2+9)-4(x^2+9)$

Now you can rewrite this as $(x^2-4)(x^2+9)$ , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is $a^2-b^2=(a+b)(a-b)$ . Applying that here, we have $(x+2)(x-2)(x^2+9)$ . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: $2x^2+10x-x-5$

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: $2x(x+5)-1(x+5)$

Now you can rewrite the equation as $(2x-1)(x+5)$ . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is $(x+2)(x-2)(x^2+9)(2x-1)(x+5)=0$ </u></h3>

5 0

2 years ago

A homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bed

cestrela7 [59]

Answer:

0.97

Step-by-step explanation:

Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.

Both alarms are independent of each other.

Probability for smoke detection=P(any one alarm rings)

=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)

Since both are independent

P(Both) = $0.95*0.40\\=0.38$

Probability for smoke detection

= 0.95+0.40-0.38

=0.97

7 0

2 years ago

If y=(sec^-1x)^2, then show that x^2(x^2-1) d^2y/dx^2 + (2x^3 - x) dy/dx = 2

Arisa [49]

Step-by-step explanation:

Hope it helps you in your learning process.

8 0

2 years ago