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
Dennis_Churaev [7]
4 years ago
5

A hardware store sells light bulbs in different quantities. the graph shows the cost of various quantities. according to the gra

ph, what is the cost of a single lightbulb?

Mathematics
1 answer:
geniusboy [140]4 years ago
4 0

step 1

find the equation of the line

where

x-------> numbers of light bulbs

y-------> the total cost in $


let

A (0,0) B (10,18)

slope m=18/10-----> m=1.8


step 2

with m=1.8 and the point A (0,0)

y-y1=m*(x-x1)------> y=1.8x


step 3

for x=1

y=1.8*1------> y=$1.8


therefore


the answer is

the cost of a single light bulb is $1.8



You might be interested in
You are making a necklace that is 9 inches long. You use 6 beads for each inch. What integer is the change in your supply of bea
nydimaria [60]
<span>To answer this question we first must know the definition of an integer. An Integer is a whole number. 1, 10, 100 are all integers. 1.3 and 0.75 are not. So now we must multiply the number of beads per inch by the total number of inches: The question states you use 6 beads for each inch. So 6 beads per inch multiplied by 9 inches is 54 beads. So your supply changes by 54 beads.</span>
8 0
4 years ago
Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +
Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

3 0
3 years ago
Question 7
Colt1911 [192]

Answer:

Step-by-step explanation:

xxcSD1EA

7 0
3 years ago
In right △ABC, the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find the sides of △ABC if AD = 8 cm
tangare [24]

Answer:

AC=8\sqrt{3}\ cm\\ \\AB=16\sqrt{3}\ cm\\ \\BC=24\ cm

Step-by-step explanation:

Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.

By the Pythagorean theorem,

AD^2=AH^2+DH^2\\ \\8^2=AH^2+4^2\\ \\AH^2=64-16=48\\ \\AH=\sqrt{48}=4\sqrt{3}\ cm

AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:

\dfrac{CA}{CD}=\dfrac{AH}{HD}\\ \\\dfrac{CA}{CD}=\dfrac{4\sqrt{3}}{4}=\sqrt{3}\Rightarrow CA=\sqrt{3}CD

Consider right triangle CAH.By the Pythagorean theorem,

CA^2=CH^2+AH^2\\ \\(\sqrt{3}CD)^2=(CD+4)^2+(4\sqrt{3})^2\\ \\3CD^2=CD^2+8CD+16+48\\ \\2CD^2-8CD-64=0\\ \\CD^2-4CD-32=0\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144\\ \\CD_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm 12}{2}=-4,\ 8

The length cannot be negative, so CD=8 cm and

CA=\sqrt{3}CD=8\sqrt{3}\ cm

In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,

AB=2CA=16\sqrt{3}\ cm

By the Pythagorean theorem,

BC^2=AB^2-AC^2\\ \\BC^2=(16\sqrt{3})^2-(8\sqrt{3})^2=256\cdot 3-64\cdot 3=576\\ \\BC=24\ cm

3 0
3 years ago
What is 4/7 as a decimal
scoundrel [369]

Answer:

0.57142858 is the answer hope this helped



7 0
3 years ago
Read 2 more answers
Other questions:
  • The waiters poured 160 eight-ounce glasses of water at the banquet. How many gallons is this? Show your work.
    10·1 answer
  • What partial products can you use to find how much 6 bags of cat food will cost
    11·1 answer
  • Peter opens a new bookstore and pays the book publisher $3.00 for each book he buys from them. The amount Peter pays is given by
    5·1 answer
  • H.e.l.p M.e. P.l.e.a.s.e.
    13·1 answer
  • Simplify. Remove all perfect squares from inside the square root. 75
    12·2 answers
  • A small lizard is five sixth inch long. A larger lizard is 6 and four fifths times larger. How long is the larger lizard?
    9·1 answer
  • Two isosceles triangles have congruent base angles. The length of a leg and base of one triangle are 17 cm and 10 cm respectivel
    14·1 answer
  • Divide $180 in the ratio 7:2<br> [10pts]
    15·1 answer
  • if a triangle has three degrees that measure 75, 75 and 30, what type of triangle is it equilateral, scalene, isosceles​
    13·2 answers
  • A seed company planted a floral mosaic of a national flag. the perimeter of the rectangular planting area is 420 feet. the lengt
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!