Can someone please help me with math.

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

[tex]ab=6[/tex]        ...(i)

[tex]ac=-4[/tex]       ...(ii)

[tex]bc=-6[/tex]      ...(iii)

From (ii), we get

[tex]a=-\dfrsc{4}{c}[/tex]          ...(iv)

From (iii), we get

[tex]b=-\dfrsc{6}{c}[/tex]         ...(v)

Putting [tex]a=-\dfrsc{4}{c}[/tex]  and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get

[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]

[tex]\dfrac{24}{c^2}=6[/tex]

[tex]\dfrac{24}{6}=c^2[/tex]

[tex]4=c^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{4}=c[/tex]

[tex]\pm 2=c[/tex]

It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].

Putting [tex]c=2[/tex] in (iv), we get

[tex]a=-\dfrsc{4}{2}[/tex]

[tex]a=-2[/tex]

Putting [tex]c=2[/tex] in (v), we get

[tex]b=-\dfrsc{6}{2}[/tex]

[tex]b=-3[/tex]

Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].

Answer:

17.5

Step-by-step explanation:

Answer:

1: B

2: A

3: D

4: C

Step-by-step explanation:

In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.

Example 1:

3/4 ÷ 1/2

3/4 x 2/1

= 3/2

= 1 1/2

Example 2:

1 1/2 ÷ 1/2

3/2 ÷ 1/2

3/2 x 2/1

= 6/2

= 3

Answer:

False

Step-by-step explanation:

because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.

:))

Answer:

-4 and 1, the answer is C

Step-by-step explanation:

The arrow points at the lines, the trace the lines to the nearest numbers :)

Answer:

Maria randomly selects a number from the list of numbers below.

56, 90, 88, 76, 12

What is the probability that she selects an even number?

Step-by-step explanation:

so fd jwshydd +3 b4--

Answer:

3/2

Step-by-step explanation:

4x+17=23

-17 on both sides

4x=6

divided by 4

x=3/2

Answer: 300

Step-by-step explanation: Math - 35X10-50

I may be wrong sorry!

Replace x with 10 in the given function.

We are seeking f(10).

f(10) = 35(10) - 50

f(10) = 350 - 50

f(10) = 300

After 10 hours, Bill's profit is $300.

Answer:

Wouldn't he be like a second cousin or something?

Step-by-step explanation:

Answer:

I think she would be your second cousin.

Step-by-step explanation:

Hope this helps!!

Please mark this answer as Brainiest!!

Answer:

slope = undefined

Step-by-step explanation:

To find the slope of a line that passes between two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-4, 6) and (-4,-2) into the formula and simplify like so:

[tex]m = \frac{(-2)-(6)}{(-4)-(-4)}\\m= \frac{-2-6}{-4+4} \\m = \frac{-8}{0}[/tex]  

However, we can't divide by zero. This must mean that the slope of this line is undefined.

Answer:

(3, -2)

Step-by-step explanation:

The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5.  We add 5 to -2, obtaining 3 units.

The y-coordinate of the midpoint is found similarly.  The vertical distance between the two given points is 1 - (-5), or 6 units.  Half of that is 3 units.  Adding 3 units to -5 yields -2.

The midpoint is (3, -2).

Thus, the coordinates of the midpoint at (-7, 6)

Answer:

− 9 + 1 7

Step-by-step explanation:

Hope this helps!

Answer:

A = 914 units

Step-by-step explanation:

The figure consists of a rectangle and a circle.

The sides of rectangle are 30 units and 20 units

The diameter of circle is 20 unit

Radius = 10 units

Required area = area of rectangle + area of circle

[tex]=l\times b+\pi r^2\\\\=30\times 20+3.14\times 10^2\\\\=914\ units[/tex]

So, the area of the figure is equal to 914 units.

Answer:

Yes, we can conclude that average sales has changed.

Step-by-step explanation:

The null hypothesis, H0 : μ = 0.3

The alternative ; H0 : μ ≠ 0.3

The result of the 95% confidence interval of (.3095, .3275); This shows that the confidence interval is now between 30.95% and 32.75% ; since μ does not lie within the confidence interval value and the lower boundary of the confidence interval is > 30; we Can conclude with an evidence of 5% significance that his average sales as changed (increased).

We can reject H0 and conclude that μ > 0.3

Answer:

c

Step-by-step explanation:

24×12=288 songs downloaded

this is because you have to do opposite operations according to one of the operations of math

An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.

Let the number of songs downloaded be d.

So, the equation is d/12 =24

d=288

The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

The answer is 14

Step-by-step explanation:

The square root 196

√196 = 14

Thus, The answer is 14

-TheUnknownScientist

Answer:

64

Step-by-step explanation:

Marcello sells coupon books to his neighbors

4 neighbors each buy 2 coupon books

Each book have 8 coupons

Therefore the total number of coupons that all neighbors will get can be calculated as follows

Each neighbor will get 16 coupon

Hence the whole neighbors will get

16×4

= 64 coupons

Answer:

Step-by-step explanation:

huh

Answer:

Step-by-step explanation:

y=13-3x

when x=0

y=13-3(0)

y=13

when x=1

y=13-3(1)

y=13-3

y=10

when x=2

y=13-3(2)

y=13-6

y=7

when x=3

y=13-3(3)

y=13-9

y=4

when x=4

y=13-3(4)

y=13-12

y=1

Answer:

thanks!

Step-by-step explanation:

Answer: Thanks

Step-by-step explanation:

Answer:

? = 7.2

Step-by-step explanation:

Remark

Is that a misshapen circle or is it an ellipse? I'm going to assume it is a circle, but if I am wrong, leave a comment. A tangent will meet a diameter's end at right angles which allows you to use the Pythagorean theorem.

Formula

a^2 + b^2 = c^2

Givens

c = 12

a = 9.6

b = ?

Solution

c^2 - a^2 = b^2

144 - 92.16 = b^2

b^2 = 51.84                          Take the square root of both sides

sqrt(b^2) = sqrt(51.84)

b = 7.2

Answer:

$6200

Step-by-step explanation:

Given data

Rate= 4%

Principal=$5000

Time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=5000(1+0.04*6)

A= 5000(1+0.24)

A=5000*1.24

A=$6200

Answer:

each student gets 11 pencils

Step-by-step explanation: I searched it up

Answer:

245 is the best answer. I am right ta boy

Answer: 245

Step-by-step explanation:

60 + 120 + 65 = 245

Answer:

6a is 80       6b120

Step-by-step explanation:

Answer:

D: 25 miles

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^{2} + b^2 = c^2[/tex]

36^2 + b^2  =  39^2

1,296 + b^2  =  1,521

b^2  =  225

b  =  25

Answer:

The equation of the axis of symmetry is x = 7

Step-by-step explanation:

Mathematically, we have the equation of the axis of symmetry as;

x = -b/2a

where a is the coefficient of x^2 = 1

b is the coefficient of x which is -14

So, the equation of the axis of symmetry will be;

x = -(-14)/2(1) = 14/2 = 7

So the equation of the axis of symmetry is x =7

YOU DO NOT NEED TO SOLVE AS SEEN IN THE PROBLEM ON THE PAPER

Answer:

x=6

Step-by-step explanation:

x=21+15

 -21   -21

x=6

Answer:

line plot

Step-by-step explanation: