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3 years ago

Which number line represents all of the values of x for the equation x2 = 100

Mathematics

1 answer:

Hitman42 [59]3 years ago

4 0

x^2 = 100...by taking the square root of both sides, this eliminates the ^2

x = (+-) sqrt 100

x = (+-) 10

so the values of x are -10 and 10

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At the deli counter Sandy bought 1 3/4 pounds of cheese for 4$ per pound and 2 1/4 pounds of turkey for 6$ per pound. How much d

Bogdan [553]

Answer:

10 dollars

Step-by-step explanation:

4 + 6 = 10 which mean 10 dollars spent

4 0

3 years ago

Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

kari74 [83]

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant $b^2-4ac$ applies to quadratic equations when they are organised in standard form: $ax^2+bx+c=0$ .

All quadratic equations can be solved with the quadratic formula: $x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}$ .

When $b^2-4ac$ is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

$3x^2+5x=-1$

We're given the above equation. It hasn't been organised completely in $ax^2+bx+c=0$ , but we can change that by adding 1 to both sides to make the right side equal to 0:

$3x^2+5x+1=0$

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

$D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13$

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

4 0

3 years ago

Find the solution of y = 6x + 1 for x = 5.

Fudgin [204]

The solution is D.
By plugging the x value, 5, into the equation:
6*5=30
30+1=31
y=31
the x value is 5 and the y value is 31
(5, 31)
hope that helps!

7 0

3 years ago

Read 2 more answers

Write an integer whose absolute value is greater than itself.

Fed [463]

The set of an integer is called the set Z
The set of integers number is composed by the positive whole number {0, 1, 2, 3…} and the negative whole number {…-4, -3, -2, -1, 0} .We write it as follow Z= {…- 4, -3, -2, -1, 0}U{0, 1, 2, 3…}. If we assume that k is inside Z, so k can be a negative integer of positive integer. Besides the absolute value of a number is always the positive value of this number. Let be k<0 an integer different from zero, so abs(k) >0, and abs(k)> k for all value of k. For example for k= -2, and abs(k)=abs(-2)=2> -2 (always)

8 0

3 years ago

Safeway sells three bags of chips for $12.99. Piazza's sells five bags of the same chips for $15.75. has the better deal at $ pe

defon

Answer:

Piazza's has the better deal per bag

Step-by-step explanation:

8 0

3 years ago