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3 years ago

Can someone help me with this ASAP please I’m being timed !

Mathematics

1 answer:

denpristay [2]3 years ago

6 0

Answer:

The second option (choice b)

Step-by-step explanation:

At -1 is the line starts going up so its increasing. 2 shows that the line is starting to decrease so it would be between -1 and 1 where the line is increasing on the graph.

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Using the discriminant, describe the nature of the roots for the equation <br> 49x^2 − 28x + 4 = 0.

scZoUnD [109]

Answer:

Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

b2 - 4ac In this case, a = 7, b = -4, and c = -1

(-4)2 - 4(7)(-1)

16 + 28 = 44

Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

44 > 0, so there are two real roots

4 0

3 years ago

You are the owner of a toy store and preparing to make a donation to a local children's hospital you must prepare 320 teddy bear

Nookie1986 [14]

Answer:

90 feet

Step-by-step explanation:

320 (1/8) = 40

3/4 (40) = 30 yards

1 yard = 3 feet

30 (3) = 90 feet

3 0

3 years ago

HELP ME PLZZZ!!!! URGENT!!!

finlep [7]

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = $(p+1)^2-4(1)(2p-5)$

For real roots,

$(p+1)^2-4(1)(2p-5)>0$

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

5 0

3 years ago

For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mrrafil [7]

Answer:

a. $\frac{2x + 3}{x+5}$

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

$2x^2 - 7x - 15$

Two numbers that multiply to -30 and add to -7 = -3 and 10

$[2x^2 - 10x] + [3x - 15]$

$(2x + 3)(x - 5)$

Factor the denominator (Difference of Two Squares):

$x^2 - 25$ = $(x +5)(x-5)$

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

$\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}$

Variable Restrictions:

Denominator ≠ 0

$x + 5 = 0\\x = -5$

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0

3 years ago

Which equations, tables, or graphs represent functions?

Debora [2.8K]

A represents a function

This is the way

5 0

3 years ago