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3 years ago

Product is -42 and sum is 1 What are the two numbers

Mathematics

2 answers:

Aleksandr [31]3 years ago

6 0

The answer is 7 and -6

podryga [215]3 years ago

3 0

Answer:

The numbers are 7, (-6)

Step-by-step explanation:

Let one number be x

So, other number = 1 - x

x*(1 -x) = -42

x - x² = -42

0 = -42 -x +x²

x² - x - 42 = 0

x² + 6x - 7x - 7*6 = 0

x(x + 6) -7 (x + 6) = 0

(x + 6)(x - 7) = 0

x + 6 = 0 ; x - 7 =0

x = -6 ; x = 7

The numbers are 7, (-6)

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Mr. Ramirez orders drumsticks and sheet music for a group of students. One pair of drumsticks costs $1. 50, and the sheet music

diamong [38]

Answer:

Step-by-step explanation:

It expresses how much money he had to pay in total for the sheet music and drumsticks altogether.

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8 0

2 years ago

???????????anybody helppp

fredd [130]

Answer:

B) 24 p-35

Step-by-step explanation:

<u>A</u>pply distributive property a.(b+c) = a.b+a.c

Given data 1+4(6 p-9)

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5 0

3 years ago

The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p

VLD [36.1K]

Answer:

$3.13$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

$\chi^2_{1-\frac{\alpha}{2}}= 51.770$

Chi square critical value for upper tail =

$\chi^2_{\frac{\alpha}{2}}= 81.085$

80% confidence interval:

$\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}$

Putting values, we get,

$=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13$

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0

3 years ago

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ololo11 [35]

Answer:

D.) Not enough information

Step-by-step explanation:

The marks are the same, but they aren't placed in the same position in the triangles.

8 0

3 years ago

A 4 cm x 6 cm rectangle sits inside a circle with radius with 11 cm. What is the area of the shaded region?

Novosadov [1.4K]

Answer:

The area of the shaded region is $(121\pi -24)\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the rectangle

$A=\pi r^{2} -bh$

we have

$r=11\ cm$

$b=4\ cm$

$h=6\ cm$

substitute the values

$A=\pi (11^{2}) -(4)(6)$

$A=(121\pi -24)\ cm^{2}$ ----> exact value of the shaded area

4 0

3 years ago