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Semmy [17]
2 years ago
9

Which is the solution to the inequality? y + 15 < 3​

Mathematics
2 answers:
Yuki888 [10]2 years ago
4 0

Answer:

y < - 12

Step-by-step explanation:

y + 15 < 3 ( subtract 15 from both sides )

y < - 12

avanturin [10]2 years ago
4 0

Answer:

  • y = -13.

Step-by-step explanation:

<u>There is an infinite number of solutions</u>

<u>but I'll go with the most obvious way:</u>

  • y + 15 < 3
  • y = -13
  • -13 + 15 = 2 < 3.
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Please help me if you know answer its okay but if able to could please explain step by step.
Masja [62]

Answer: The answer would be c


Step-by-step explanation:

Step 1: Solve for b

5a+b=7

b=-5a+7

your slope would be -5a

Step 2: Make it perpendicular

The Perpendicular is gonna be the opposite

So it would be b= 1/5+7

The slopes has to be different and you don't have to worry about the "+7"

Reply if you have any questions


8 0
3 years ago
The set of x valúes of a function this is another name of range
marin [14]

Answer:

  False?

Step-by-step explanation:

We can't tell what the question is here, but it looks like you want to know about the definition of domain and range.

The set of x-values is the <em>domain</em>.

The set of y-values is the <em>range</em>.

__

"range" is <u>not</u> another name for the set of x-values.

8 0
3 years ago
Write the polynomial in factored form as a product of linear factors f(r)=r^3-9r^2+17r-9
adelina 88 [10]

Answer:

  f(r) = (x -1)(x -4+√7)(x -4-√7)

Step-by-step explanation:

The signs of the terms are + - + -. There are 3 changes in sign, so Descartes' rule of signs tells you there are 3 or 1 positive real roots.

The rational roots, if any, will be factors of 9, the constant term. The sum of coefficients is 1 -9 +17 -9 = 0, so you know that r=1 is one solution to f(r) = 0. That means (r -1) is a factor of the function.

Using polynomial long division, synthetic division (2nd attachment), or other means, you can find the remaining quadratic factor to be r^2 -8r +9. The roots of this can be found by various means, including completing the square:

  r^2 -8r +9 = (r^2 -8r +16) +9 -16 = (r -4)^2 -7

This is zero when ...

  (r -4)^2 = 7

  r -4 = ±√7

  r = 4±√7

Now, we know the zeros are {1, 4+√7, 4-√7), so we can write the linear factorization as ...

  f(r) = (r -1)(r -4 -√7)(r -4 +√7)

_____

<em>Comment on the graph</em>

I like to find the roots of higher-degree polynomials using a graphing calculator. The red curve is the cubic. Its only rational root is r=1. By dividing the function by the known factor, we have a quadratic. The graphing calculator shows its vertex, so we know immediately what the vertex form of the quadratic factor is. The linear factors are easily found from that, as we show above. (This is the "other means" we used to find the quadratic roots.)

7 0
3 years ago
The length of a rectangle is 5 in longer than its width. if the perimeter of the rectangle is 34 in , find its area.
shtirl [24]
Area(A)= lw
perimeter(P)= 2w+2l= 34in
length(l)= w+5 
width(w)= w

1/2 P= 17= w+l
17= w+(w+5)
17= 2w+5
2w=12
w=6 in

l= w+5
l= 6+5
l=11 in


A= lw= (11)(6)= 66in²

Answer:
Area of rectangle is 66 in².
3 0
3 years ago
Factoring with Algebra Tiles Represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent fac
Nezavi [6.7K]

Answer:

Two zero pair

f(x)=(2x-3)(x+2)    

Step-by-step explanation:

We are given the following quadratic equation:

f(x) = 2x^2+x-6

Since, this a quadratic equation we would have two zero pairs for this model.

Factored form of polynomial:

f(x) = 2x^2+x-6\\f(x)=2x^2+ 4x -3x -6\\f(x)=2x(x+2)-3(x+2)\\f(x)=(2x-3)(x+2)

is the required factored form of the given polynomial.

6 0
3 years ago
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