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stich3 [128]
3 years ago
10

If x= -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the eq

uation?
A) The discriminant is negative.
B) The discriminant is -3.
C) The discriminant is 0.
D) The discriminant is positive.
Mathematics
1 answer:
bulgar [2K]3 years ago
8 0

Answer:

C) The discriminant is 0.

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

You might be interested in
Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d
qwelly [4]

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x.  y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

       Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

        Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

3 0
3 years ago
A company makes 140 bags.
malfutka [58]

Answer:

71

Step-by-step explanation:

The question says we have 140 bags and we have 4 models

bags have buttons but no zips.

bags have zips but no buttons.

bags have neither zips nor buttons

bags have both zips and buttons

We don't know how many bags have zips and buttons but we know how many bags are produced. And other 3 types of bags number. So we can calculate

140-47-48-22=23

That means we have 23 bags that have zips and buttons

and

48 of the bags have zips too. that means we have 48+23=71 bags that have zips on them.

8 0
3 years ago
A particular computer takes 11 minutes to download a 33​-minute TV show. How long will it take the computer to download a 2.5​-h
zhenek [66]

First off.. we need to get the units the same.  All in hours,

or all in minutes.  36 minutes = 36/60 hours = 3/5 hours = 0.6 hours.

12 minutes = 12/60 hours = 1/5 hours = 0.2 hours

Set up a proportion:

0.2 is to 0.6 as x is to 22.5

x/22.5 = 0.2/0.6

x = 0.2(22.5)/0.6

x = 7.5 hours


thanx

heyaaaaa

8 0
3 years ago
I need help please 36 points
geniusboy [140]

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are:  and .

--------------------------------

The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .

5 0
3 years ago
Conditional Probability Assistance?
krek1111 [17]

Let the event A=\{ Sophomore \}, B=\{ Boy \}

The the probability of the events

P(A \cap B)=\frac{5}{12+18} =\frac{1}{6}

P( B)=\frac{12}{12+18} =\frac{2}{5}

The conditional probability

P(Sophomore|Boy)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/6}{2/5} =\frac{5}{12}

5 0
3 years ago
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