1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
den301095 [7]
3 years ago
11

Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $20 per day. If one of her customers spent less t

han $80, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?a) $20x + $20 < $80b) $20x < $80c) $20x - $20 < $80d) $20x < $100
Mathematics
1 answer:
Sloan [31]3 years ago
3 0

Answer:option A is the correct answer.

Step-by-step explanation:

Let x represent the number of days the customer paid for pet sitting.

She charges a flat service fee of $20, plus $20 per day. This means that the total amount that she charges for x hours would be

20 + 20x

If one of her customers spent less than $80, then the inequality that could be used to solve for x would be

$20 + $20x < $80

You might be interested in
The information given represents lengths of the sides of a right triangle with c the hypotenuse. Find the correct missing length
Ksju [112]
Here is the work with the answer. Hope this helps. God bless

5 0
3 years ago
Solve x2+4x+6=0 by graphing
klemol [59]

Answer: x = -2±√2 i or no real roots. See the explanation below.

Step-by-step explanation:

If you draw the graph, you will notice that there are no common points or you can say that there are no x-intercepts.

This means that the equation doesn't have any real roots.

If there are 2 common points (2 x-intercepts) then there are 2 real roots (answers.)

If there is only one common point (vertex is on x-axis) then there is only 1 real root.

If there aren't any common points (no x-intercepts) then there are no real roots.

So first, I'm gonna convert the equation into function and convert the standard form to vertex form.

x^2+4x+6=0\\y=x^2+4x+6\\y=(x^2+4x+4)-4+6\\y=(x+2)^2+2

We notice that the vertex is at (-2,2), the graph doesn't have x-intercepts (Graph below)

So the answer is clearly complex.

If you solve this by solving the equation then it'll be.

x^2+4x+6=0\\x= \frac{-b+-\sqrt{b^2-4ac}}{2a} \\x=\frac{-4+-\sqrt{16-24} }{2}\\x=\frac{-4+-\sqrt{-8} }{2}\\\\x=\frac{-4+-2\sqrt{2}i }{2}\\\\x={-2+-1\sqrt{2}i }\\\\

The answer is complex.

However, you can find the value of x easily by graphing. For example.

x^2+6x+5=0

Factor then you get

(x+5)(x+1)=0\\x=-5,-1

Or you can convert it to vertex form then graph.

y=x^2+6x+5

y=(x^2+6x+9)-9+5\\y=(x+3)^2-4

The vertex is at (-3,-4) then graph parabola (x-intercepts determine the roots of quadratic equation. For the graph, parabola intercepts x at (-5,0) and (-1,0) that means both -5 and -1 both are the value of x.

Note:

From the standard form, y=ax^2+bx+c The graph is called Parabola, and it's Quadratic Function.

a is how the graph is, for example. If a>0, the graph is supine parabola and if a<0 then the graph is inverted parabola.

|a| is determined if the graph is wide or narrow, the more the value of a is, the more narrow it will be. The less the value of a is, the more wide it will be.

b is what determined the change of graph (likely vertex). Without b, then it'd be ax^2+k which only move y-axis and not x-axis.

c is what determined the y-intercept and y-axis. If there is no b or the value of b is 0 then the vertex is at (0,c). If there is the value of b then c is only determined the y-intercept.

4 0
3 years ago
a girl is snorkeling 1 meter below sea level and then dives down another 0.5 meter. How far below sea level is the girl?
zalisa [80]
The answer is 1.5 meter depth. 
6 0
4 years ago
Please help me I can’t figure it out
dezoksy [38]

Answer:

its C.

Step-by-step explanation:

omg that took forever to solve

7 0
3 years ago
what is the answer for this question and can tell me how to do this problem too. 791 + 11 &gt; 959 − 13
kompoz [17]

Answer:

The question is false

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Determine if each of the following sets is a subspace of ℙn, for an appropriate value of n. Type "yes" or "no" for each answer.
    12·1 answer
  • At the battle of bunker hill approximately 2400 colonial army troops clashed with 3000 British army troops what is the ratio of
    11·1 answer
  • You are riding your bicycle. It takes you 9 minutes to go 2.5 miles. If you continue traveling at the same rate, how long will i
    10·1 answer
  • (25 POINTS) How do I structure this properly? I don't understand the way they are wanting me to do this, but I got the right ans
    7·2 answers
  • Find the slope<br> (-8, 18) and (-14, -3)
    10·2 answers
  • Triangle E G F is shown. The length of E G is 10 and the length of E F is 12. Angle E F G is 56 degrees.
    12·1 answer
  • Integers that satisfy the inequality 5x - 3 &lt; 12?
    8·1 answer
  • No links or anything
    7·1 answer
  • Which expressions are equivalent to 3(x + 3y + 2x − y )?
    15·1 answer
  • Simplify.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!