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3 years ago

Determine the valeur for k in the equation below: x2 + kx + 9 = 0

Mathematics

2 answers:

pickupchik [31]3 years ago

7 0

K = -9+x2 divides by x

Maru [420]3 years ago

3 0

Answer:

Step-by-step explanation:

Disc.=k²-4×9

roots are real if k²-36≥0

|k|≥ 6

k≤- 6

or k≥ 6

roots are imaginary if k²-36≤0

k²≤ 36

|k|≤6

roots are imaginary if -6 ≤ k ≤6

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a chef has 5 blocks of butter. Each weights 1 pound. she cuts each block into fourths. how many 1/4 pound pieces of butter does

lianna [129]

The answer would be 20 because you have 5 blocks that are cut into 1/4. It doesn't say anything about any of the pieces disappearing or being used yet so you multiply 4*5 and then you get the answer.

8 0

3 years ago

To find the height h of a flagpole, Casey measured her own shadow and the flagpole’s shadow. Given that Casey’s height is 5 feet

Setler79 [48]

Answer:

The height of the flagpole is $25\ ft\ 4\ in$

Step-by-step explanation:

we know that

If two figures are similar, the the ratio of its corresponding sides is proportional

Remember that

$1\ ft=12\ inches$

Convert the measures in inches

$3\ ft=3(12)=36\ in$

$5\ ft\ 4\ in=5(12)+4=64\ in$

$14\ ft\ 3\ in=14(12)+3=171\ in$

$\frac{h}{64}=\frac{171}{36}\\ \\h=171*64/36\\ \\h=304\ in$

Convert inches into (feet + inches)

$h=304\ in=304/12=25.33\ ft=25\ ft\ 4\ in$

6 0

3 years ago

a soccer organization is going to spend 2990 dollars to purchase all sweatshirts or all jackets for its players. Sweatshirts are

Stella [2.4K]

Answer:

121,436 to the nearest ten thousand

Step-by-step explanation:

8 0

3 years ago

Sadie computes the perimeter of a rectangle by adding the length, I, and width, w, and doubling this sum. Eric computes the peri

photoshop1234 [79]

Answer:

Due to the distributive property the expression are the same.

Step-by-step explanation:

Sadie expression is "perimeter = 2*(length + width)", while Eric's is "perimeter = 2*length + 2*width". The value for both is always the same for any rectangle, because the expressions are the same due to the distributive property. To prove this we will expand Sadie's expression as shown below:

perimeter = 2*(length + width)

perimeter = 2*length + 2*width

Which is the same as Eric's.

6 0

4 years ago

The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard devi

Studentka2010 [4]

Answer:

Approximately 68% of students study between 22.9 and 25.7 hours.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 24.3 hours, standard deviation of 1.4 hours.

What percent of students study between 22.9 and 25.7 hours?

22.9 = 24.3 - 1.4

25.7 = 24.3 + 1.4

Within 1 standard deviation of the mean, so:

Approximately 68% of students study between 22.9 and 25.7 hours.

4 0

3 years ago