2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48
When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.
Answer:
4x+148
Step-by-step explanation:
Let the temperature be x and time taken by cricket to chirp be y
if when it is about 68°F, crickets chirp 124 times a minute, this means;
at x1 = 68, y1 = 124
If it is about 80°F, they chirp 172 times a minute, then;
at x2 = 80, y2 = 172
The standard form of equation in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line.
First we need to get the slope.
m = y2-y1/x2-x1
m = 172-124/80-68
m = 48/12
m =4
Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)
get the intercept c
124 = 4(68) + c
c = 272-124
c = 148
The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)
The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
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A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?
Answer:
Note. There is a mismatch between the graph and the equation
------------------------------
As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s------------------------------
If we go by the equation, then:
f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 secondsSolve the proportion below. X/12=12/72
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation:
Can someone fill in the blanks please ?? 30 points
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerFind the hypothesis for side a 16 side b 20
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
HELP I WILL CROWN BRAINLIEST
One question only
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AOBC is a parallelogram ,
Thus :
[tex]OA = BC = a[/tex]
And ;
[tex]AC = OB = b [/tex]
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M is the midpoint of AC ,
So :
[tex]AM = MC = \frac{b}{2} \\ [/tex]
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According to case of Cosine in ∆ OAM :
[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]
So :
[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]
[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]
_________________________________
I have something more to tell.
Just for know more...
According to the case of Sine in ∆ OAM :
[tex] \frac{OM}{ sin(A) } = \frac{
AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]
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3 3/4 divided by 3/4
Answer:
5
Step-by-step explanation:
3 3/4 divided by 3/4 is equal to 15/4 divided by 3/4
which is 15/4 times 4/3 the 4's cancel each other out making it 15/3 which is 5
Answer:
The answer is 5
Step-by-step explanation:
i dont really know how i know it just do.
Will give brainliest if correct.
Answer:
The x-intercept is 4,0. The y-intercept is 0,2.
Step-by-step explanation:
when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.
Have a nice day!
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answer:
B
Step-by-step explanation:
i got it right
help pls
6 x (2-8) + 4
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
x^2 plus 2y divideed by 2x plus 3z equal
Answer:
(x^2 plus 2y")
--------------------
2x(2x + 3)
Step-by-step explanation:
Doing this problem correctly requires the application of "order of operations" rules. "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your
x^2 plus 2y divided by 2x
comes out to:
(x^2 plus 2y")
--------------------
2x
If we now divide this result by "2x plus 3z," we get:
(x^2 plus 2y")
--------------------
2x
================
2x + 3
or:
(x^2 plus 2y")
--------------------
2x(2x + 3)
WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE
Answer:
2,322,775
Step-by-step explanation:
[tex] a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\[/tex]
By the formula of sum of an Arithmetic Sequence
[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} [/tex]
Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
GUYS PLS HELP ME, its math and I'm really stuck
Answer:
B. 1/2
Step-by-step explanation:
You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.
1/2 inch : 1 week
1/2
I Hope That This Helps! :)
What words do I fill the blanks in with? Please hurry <3
Answer:
It says why you suck at cooking
Hope this helps!! :D
someone please help
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?
Answer:
67.5
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answer:
78.12
Step-by-step explanation:
Answer:
78.12
Step-by-step explanation:
One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars
Step-by-step explanation:
If one dollar can buy a bottle of mineral water, then;
$1 = 1 bottle
To determine the amount of mineral water you can drink with at most 20 dollars, we will say;
$20 = x bottle
Solving both equality postulate;
$1 = 1 bottle
$20 = x bottle
Cross multiply
1 * x = 20 * 1
x = 20
Hence about 20 bottles of mineral drink can be bought with at most 20 dollars
Answer: 39
Step-by-step explanation:
You exchange $20 for twenty bottles of mineral water.
[Drank: 20
Exchanged: 20/2=10]
[Drank: 20+10
Exchanged: 10/2=5]
[Drank: 20+10+5
Exchanged: 4/2=2]
[Drank: 20+10+5+2+1
Exchanged: 2/2=1]
Drank in total: 20+10+5+2+1+1
which is = 39
Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?
Answer:
CAN YOU MARK ME BRAINLIEST ??
The answer is 1/8 candy left!!
Step-by-step explanation:
3/4=6/8 because x2.
6/8-5/8= 1/8
Answer:
1/8 of the jelly beans
Step-by-step explanation:
You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8
Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.
Answer:
Yes it is,
Step-by-step explanation:
Degree 1 (Exp 1) and it has 2 elements (2X and 1)
I'm not sure what to do about this problem, so please help me out.
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?
Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.
Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7
Answer:
slope(m)=change in y/change in x
-7=y-(-2)/x-(-7)
-7=y+2/x+7
-7(x+7)=y+2
-7x-49=y+2
-7x-49-2=y
-7x-51=y (B)
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4