What is 5 less than a number y is under 20

Answers

Answer 1

Answer: $under\ 20\to < 20\n\n5\ less\ than\ a\ number\ y\to y-5\n\ntherefore\n\n\boxed{y-5 < 20}$

Answer 2

Answer:

The requried number y must be less than 25 in order for the statement "5 less than a number y is under 20" to be true.

The phrase "5 less than a number y is under 20" can be represented as an inequality:

y - 5 < 20

This inequality states that if we subtract 5 from a number y, the result will be less than 20.

To solve this inequality for y, we can isolate y by adding 5 to both sides of the inequality:

y - 5 + 5 < 20 + 5

y < 25

Therefore, the number y must be less than 25 in order for the statement "5 less than a number y is under 20" to be true.

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What are the vertex and x-intercepts of the graph of y= x2 - 6x - 7?Selectone answer for the vertex and one for the x-intercepts.
A. x-intercepts: (1,0), (7,0)
B. Vertex: (3,-16)
C.Vertex: (-3,20)
D. Vertex: (3, 20)
E. x-intercepts: (-1,0). (7.0)
F. x-intercepts: (1.0), (-7,0)

Answers

The vertex and $x-$ intercepts of the graph of $y= x^2 - 6x - 7$ will be $(3,-16)$ and $(7,-1)$ , respectively.

What are vertex and $x-$ intercepts of the graph?

A vertex in a quadratic equation is the minimum or maximum point of the equation and an $x-$ intercept of a graph is the point at which the graph intersects the $x-$ axis.

Vertex form, $y=a(x-h)^2+k$

We have,

$y= x^2 - 6x - 7$

Now,

Find the $x-$ intercept and to find $x-$ intercept put $y=0$ ;

i.e. $y= x^2 - 6x - 7$

$0= x^2 - 6x - 7$

$x^2 - 6x - 7=0$

Now using Mid-term split method find value of $x$ ;

$x^2 - 7x+1x - 7=0$

$x(x - 7)+1(x - 7)=0$

$(x - 7)(x +1)=0$

$(x - 7)=0$ ⇒ $x=7$

$(x +1)=0$ ⇒ $x=-1$

So, these are the $x-$ intercept $(7,-1)$ of the expression.

Now find the vertex using the above given formula;

$y=a(x-h)^2+k$

Rewrite in vertex form

$y= x^2 - 6x - 7$

Add and subtract $(-3)^2$ in given expression;

$y= x^2 - 6x + (-3)^2 -7 - (-3)^2$

$y = x^2 - 6x + 9 -7 - 9$

$y = x^2 - 6x + 9 -16$

Now convert quadratic part of equation in $(a-b)^2$ ;

$y = (x-3)^2-16$

Now compare it with $y=a(x-h)^2+k$

We get, $h=3,\ k=-16$

So, these are the vertex $(3,-16)$ of expression.

Hence, we can say that the vertex and $x-$ intercepts of the graph of $y= x^2 - 6x - 7$ will be $(3,-16)$ and $(7,-1)$ , respectively.

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The answer is B and E

Which function equation represents the table? A. f(x) = -x + 2
B. f(x) = -3x + 2
C. f(x) = 2x + 3
D. f(x) = 3x + 2

Answers

The answer is D. f(x) = 3x+2

This is because this is the ONLY function equation that works for ALL of the ordered pairs listed in the table

-4 = 3(-2) + 2
-4 = -6 +2
-4 = -4

-1 = 3(-1) +2
-1 = -3 +2
-1 = -1

2 = 3(0) + 2
2 = 0 + 2
2 = 2

5 = 3(1) + 2
5 = 3 + 2
5 = 5

8 = 3(2) +2
8 = 6 +2
8 = 8

Bobby made cookies. the circumference of cookies are 6 cm. what is the diameter of the cookies?

Answers

To find the circumference you would multiply the diameter by pi(3.14) so you do the opposite. Divide 6 by 3.14 (pi) and you should get your answer: 19.1 or something similar.

Helen is looking at her online bank account summary and sees a money transfer for +$250. Which of the following best describes +$250?

Answers

+$250 shows Helen that she has got $250 more dollars in her account because + means adding, and - means subtracting.

Please HELP!!! I need the answer right away!Two lines intersect at a point. The vertical angles formed are supplementary. What is the measure of each of the angles? Explain.

Answers

if they are supplementary, it will equal 180 degrees together.

the angles of a quadrilateral measure 80 degree, 100 degree, 100 degree and 80 degree in this order. what kind if quadrilateral has this shape? how do you know?