All categories

3 years ago

One number is 3 less than 4 times a second number. The difference of the

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

3 0

Answer:

17 and 5

Step-by-step explanation:

Interesting question!

Turn both sentences to equations:

$a=4b-3\\a-2b=7$

a is the first number, and b is the second number.

A system of equations! A graphing calculator will do the work:

(See picture)

The y in the picture is a, and the x in the picture is b.

So the solution is a=17 and b=5

You might be interested in

I’m so confused. I need help :C

svlad2 [7]

Answer:

Apple A

Step-by-step explanation:

Apple A 6.90/6 = 1.15 lb

Apple B 12oz/ (16oz or 1lb) =3/4 .90/(3/4) =1.2lb

Apple C 0.45/(1/4)= 1.8lb

3 0

3 years ago

Aditya determines the remainder of -12x¹⁷+3x⁵-9x²-1/x+1 using the remainder theorem. How does he proceed to the correct answer?

Alenkasestr [34]

Answer:

Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1

Step-by-step explanation:

– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1

To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:

Assume:

x + 1 = 0

Subtract 1 from both side

x + 1 – 1 = 0 – 1

x = – 1

Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:

– 12x¹⁷+ 3x⁵ – 9x² – 1

x = – 1

– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1

– 12(–1) + 3(–1) – 9(1) – 1

12 – 3 – 9 – 1

= –1

Thus, using the remainder theorem,

– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1

4 0

3 years ago

Please answer both questions and show all work with explanations :) thank you soo much...

torisob [31]

Answer:

1) 109 cm

2) 120 in²

Step-by-step explanation:

A rectangle is a quadrilateral with opposite sides the same length and four (4) right angles. The diagonal, together with two adjacent sides, forms a right triangle. The relationship between side lengths and the diagonal length is given by the Pythagorean theorem. If sides are "a" and "b" and the diagonal is "c", that theorem tells you ...

... c² = a² + b²

1) c² = (60 cm)² + (91 cm)² = 11881 cm²

... c = √11881 cm = 109 cm

2) The perimeter is double the sum of adjacent side lengths, so ...

... 2(a+b) = 46 in

... a + b = 23 in . . . . . divide by 2

The Pythagorean theorem tells you

... a² + b² = (17 in)²

Squaring the equation from the perimeter relation gives ...

... (a + b)² = (23 in)² = a² + 2ab + b²

Subtracting a² + b², we have

... (a² +2ab +b²) - (a² + b²) = (23 in)² -(17 in)²