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4 years ago

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.

Mathematics

1 answer:

oee [108]4 years ago

4 0

Answer:

True

Step-by-step explanation:

Here, we want to check if the given equation does not intersect the x-axis

if it does not, then it has no real root

If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis

The formula for the discriminant is;

D = b^2-4ac

In the question;

a = -1 , b = 6 , c = 10

so;

D = 6^2-4(-1)(10)

D = 36-40

D = -4

Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis

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Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?

grandymaker [24]

-2m - 5m = -7m
-7m - 8 = 3 -7 + m
3 - 7 = -4
-7m - 8 = m - 4
-7m - 8 + 8 = m - 4 + 8
-7m = m + 4
-7m - m = m + 4 - m
-8m = 4
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4 years ago

Exercise 2

nadezda [96]

Answer:

a) 0.72

b) 0.98

Step-by-step explanation:

We are given the following information in the question:

P(passing maths exam) = P(m) = 0.9

P(passing Spanish exam) = P(s) = 0.8

It is assumed that the results of the two exams are independent of each other.

a) probability that she passes both exams

By assumption of independence, we can write:

$P(\text{passes both exam} = P(M\cap S) \\=P(M)\times P(S) = 0.8\times 0.9 = 0.72$

0.72 is the probability that Josie will pass both the exams.

b) probability that Josie passes at least one of the exam

$P(\text{at least one of the exams}) = P(M\cup S)\\= P(M) + P(S) - P(M\cap S)\\= 0.9 + 0.8 - 0.72 = 0.98$

0.88 is the probability that Josie passes at least one of the exams.

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3 years ago

The volume of a cube can be found using the equation V = s^3, where V is the volume and s is the measure of one side of the cube

ValentinkaMS [17]

The first one that's the answer the reason for that is because it's the formula to find the area if you do it backward you can find the side legnth

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3 years ago

A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle o

jok3333 [9.3K]

Answer:

$5,671.84

Step-by-step explanation:

To find the third side, we can use the law of cosines:

c^2 = a^2 + b^2 - 2ab*cos(theta)

c^2 = 157^2 + 157^2 - 2*157*157*cos(65)

c^2 = 28463.7649

c = 168.71 feet

The perimeter of the playground is:

P = 157 + 157 + 168.71 = 482.71 feet

If each foot costs $11.75, the final cost is:

Cost = 482.71 * 11.75 = $5,671.84

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3 years ago

A coral reef grows 0.11m every week. How much does it grow in 15 weeks?

Vladimir [108]

you need to multiply .11 times 15

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4 years ago

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.​

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.