what is the range of this function?

Let a and b be the roots of 2x² - 7x + N. Then

2x² - 7x + N = 2 (x - a) (x - b)

2x² - 7x + N = 2x² - 2 (a + b) x + 2ab

so that

2 (a + b) = 7

2ab = N

The product of the roots is ab = -5, so

N = 2 • (-5) = -10

Answer:

60%

Step-by-step explanation:

55% of the fish tank is 44 gallons.

To solve this, you turn the 55% into a decimal, by dividing it by 100.

55 ÷ 100 = 0.55

You then multiply the whole capacity (80) by 0.55

80 x 0.55 = 44 gallons

Answer:6

Step-by-step explanation:

Ree

Answer:

Maybe figure 2

Step-by-step explanation:

If it is correct then

Plz plz mark me brainlist

Be happy

Answer:

uh, this is very confusing....is there anyway that you could word it differently?

Answer:

"less than 90°."

Step-by-step explanation:

This is because an obtuse triangle can be defined as "An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles." Therefore, there can only be ONE obtuse angle. Therefore, with the obtuse angle being at vertex B, there cannot be another one at vertex A.

Answer:

1. =18

2. =3

3.  =10

4. =6

Step-by-step explanation:

Pretty sure I'm right

Answer:

17

Step-by-step explanation:

f(x) is the same as y=. "What is f(5)" is the same as saying what is y=3x + 2 when x is 5.

Either way, you are going to replace x with is numerical value, which is 5, and then solve.

y = 3(5) + 2

y = 15 +2

y = 17

f(5) = 17

Answer:

Y = -x + 5

Step-by-step explanation:

Y - 3 = -(x-2)  -distribute

y - 3 = -x + 2  -add 3

y = -x + 5

Hope this helps. Pls give brainliest.

Answer:

Step-by-step explanation:

5 Easy as 1-2-3

5 is a prime number.

Prime factorization: 5 is prime.

The exponent of prime number 5 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 5 has exactly 2 factors.

Factors of 5: 1, 5.

Factor pairs: 5 = 1 x 5.

5 has no square factors that allow its square root to be simplified. √5 ≈ 2.236.

Answer:

$10,800

Step-by-step explanation:

Given that:

Wholesale price of the truck = $12,000

At the special sales event, the discount offered on the price = 10% of the wholesale price

Therefore the discount can be calculated as follows:

10% of Wholesale price

Wholesale price is given as $12,000.

[tex]\Rightarrow \dfrac{10}{100} \times 12000\\\Rightarrow \bold{\$1200}[/tex]

Now, we have to find the price to be paid by customer after the discount being offered due to the special sales event.

Discounted price = Wholesale price - Discounted offered due to special sales event.

Discounted price = $12000 - $1200 = $10,800

Therefore, the answer is:

$10,800

Answer:

$420

Step-by-step explanation:

130x12=1560

165x12=1980

1980-1560=420

Answer:

$420

Step-by-step explanation:

The last rate was $165, and the new one is $130. To find the difference, do this equation, 165-130=?. From that equation, you get $35. As you know, there are 12 months in a year, so you multiply $35 by 12 to get $420. There is your answer.

Answer:

Step-by-step explanation:

Each of the squares has trinomials that factor. x^2 - 14x + 49 = (x - 7)^2

When you take the square root (to get the side length) you get x - 7. So the length of each square is x - 7) = 0;..........x=7 That's the answer to a.

The answer to b is the same. The width =7

It's a square both sides have to be equal.  

The length of the rectangle when the two squares are put together is 7 +7 = 14.

Answer: Question a = 7..... Question b = 7 ......... Question C = 14

Answer a

Step-by-step explanation:

Answer:

A.) r = 0.17454

Step-by-step explanation:

Got it right on my text

Answer:

A.) r = 0.17454

Answer:

(2)(9) + 75 = 75+18

Step-by-step explanation:

(2)(9) + 75 = 75+18

The expression written as a product of a number and another sum is 3(25 + 8)

Given the expression 75 + 18, we are to write as a product of a number and another sum.

First we need to find the GCF of 75 and 18

75 = 3 * 25

18 = 3 * 6

Since 3 is common to both D+GCF, we can factor it out from the expression to have:

75 + 18 = 3(25 + 8)

Hence the expression written as a product of a number and another sum is 3(25 + 8)

Learn more here: https://brainly.com/question/219464

Lets solve for d.

f(x) = - 222 + 7, Find f(-5)

Step 1.

-35df2 in -222 = fx

Step 2.

-35df2 in divided by -35df2 in = fx+222 divided by -35&2 in.

d = -fx-222 divided by 35f2 in

d= - fx-222

       ———-

       35f2 in

Answer:

Step-by-step explanation:

Answer:

sdhsjahdsjahdkjsa

Step-by-step explanation:

Answer:

so there is a y and a x axis the x axis is on the bottem and the y axis is on the left

Answer

I believe it is the first answer

Step-by-step explanation:

You would have to multiply 30 by however many months he deposits money to find how much he has in he account at that time

Hope this helps

The function rule of the total amount T in the account after n months is

T = 30n + 58.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the account = $58

Amount deposited each month = $30

The total amount after n months.

T = 58 + 30n

Thus,

The T = 30n + 58 is the total amount in the account after n months.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

A. 6.89 m

Step-by-step explanation:

Pythagorean Theorem.

a^2+b^2=c^2

(1.5)^2 + (3.6)^2 = c^2

2.25 + 12.96 = 15.21

√15.21= 3.9

find the ratio from the the left triangle to the other -

2.65÷1.5= 1.766666 × 3.69 = 6.89

Answer:

72

Step-by-step explanation:

If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.

The Perimeter of SUT is 72 units.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

RU = 16, UT = 20, and SR = 16

Now, Using Pythagoras theorem

UT² = RT² + RU²

20²= RT² + 16²

RT² = 400- 256

RT² = 144

RT= 12

And, ST=20

Now, Perimeter of SUT

= 16 + 16 + 20 +20

= 72

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

The answer is 89

Step-by-step explanation:

You take 557 from the 6 weeks and subtract it with 379 from the 4th week.

557-379=178

178 divided by 2 equal 89.

89 is the answer.

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given the expression;

[tex](5^{\frac{3}{4} })^{\frac{2}{3} }[/tex]

Using the law of indices that states;

[tex](a^m)^n = a^{mn}[/tex]

The expression becomes;

[tex](5^{\frac{3}{4} })^{\frac{2}{3} }\\= (5^{\frac{3}{4} \times \frac{2}{3} })\\= 5^{6/12}\\= 5^{1/2}\\= \sqrt{5}[/tex]

Hence the correct answer is [tex]= \sqrt{5}[/tex]