A number is 11 less than 3 times another number. The sum of the numbers

Mathematics

2 answers:

Mila [183]3 years ago

8 0

Step-by-step explanation:

this is simple use it and enjoy

igor_vitrenko [27]3 years ago

8 0

Step-by-step explanation:

Let x be the first number

Let y be the 2nd number

given,

$x = 3y - 11 \\ x - 3y = - 11$

as equation 1

and

$x + y = 25$

as equation 2.

Now we will use elimination method to solve for simultaneous equations.

We will use equation 1 - equation 2 to eliminate x to solve for y.

$x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9$

Substitute y into equation 2.

$x + 9 = 25 \\ x = 25 - 9 \\ = 16$

The numbers are 9 and 16.

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According to the synthetic division below, which of the following statements are true? Check all that apply

slamgirl [31]

Answer:

Step-by-step explanation:

Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:

3x² + 7x - 20

The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If

x = -4 is a solution, then the factor is (x + 4) = 0.

The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.

So putting that all together gives us the answers as A, C, and E are our choices.

8 0

3 years ago

What is the measure of R?<br> A. 32<br> B. 40°<br> C. Cannot be determined<br> D. 64°

Genrish500 [490]

Answer:

A. 32

Step-by-Step Explanation:

∠QRP = 32

if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

∠QRP ∠QPR

Substitute ∠QPR 32° into ∠QRP : ∠QRP 32°