Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another, that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:
Let's start with x = 1.
f(1) = [tex]17-(1)^2[/tex] so
f(1) = 16 and the coordinate is (1, 16).
f(5) = [tex]17-(5)^2[/tex] so
f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:
[tex]m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6[/tex] So the answer is -6.
Please look at picture answer and explain work
Answer: The answer is D. 240 grams
Step-by-step explanation:
1. Find the volume.
2cm×3cm×5cm=30 cubic centimeters
2. Find the volume of the other box.
4cm×9cm×5cm=180 cubic centimeters.
3. Divide. 180÷30=6
4. 6 times the amount it can hold, 40=240 grams of clay.
Hope that helped!
Answer:
Step-by-step explanation:
we are told that the box is 2 cm high, 3 cm wide 5 cm long and holds 40 grams of clay
so 2*3*5 = 30 [tex]cm^{3}[/tex]
so the 30 cubic centimeter volume holds 40 grams ( it would have been nice if they had let the box hold 30 grams but, no :(
40/30 = 1.333333 or 1 and [tex]\frac{1}{3}[/tex] of a gram okay, sooooo now we know each cubic centimeter holds that much clay, now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice, below I solve it
twice the height so 2(2)=4 high
3 times the width , so 3(3) = 9 wide
same length, so 5 long
4*9*5 = 180
180*1.33333333333 = 240 grams of clay in 2nd bigger box :)
I'm sure there is a funny box joke in there some where :DDDD
do you get the math? :)
Fred, a skycap at the airport, is paid
$5.15 per hour. During an 8-hour
shift, he earned $195.00 in tips. What
were his estimated total earnings for
a 40-hour week?
Answer:
401 a week
Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195 if he works for 40 hours the equation would be x=ab+c X is the week, A is the money per hour, B is the amount of hours and C is the tip X= 5.15(40)+195 5.15 times 40 is 206 then 206+195 is 401 which is your answer
Can someone help with this problem
which one.
................................
Step-by-step explanation:
................
Answer:
x = 15
Step-by-step explanation:
If A parallel to B then ∠ 2 and ∠ 4 are same- side interior angles and sum to 180° , then
2x + 10 + 4x + 80 = 180 , that is
6x + 90 = 180 ( subtract 90 from both sides )
6x = 90 ( divide both sides by 6 )
x = 15
identify an equation in point slope form for the line perpendicular to y=-1/3x-6 that passes through (-1,5)
Solve for X. Thank you
Answer:
x = 4
Step-by-step explanation:
The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is
[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]
[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( cross- multiply )
4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )
4x + 8 = 36 - 3x ( add 3x to both sides )
7x + 8 = 36 ( subtract 8 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Dr. Miller decided to conduct an exercise in his class in which two students each flipped a coin and record how many times they received heads or tails. One student had five heads in a row, while the other student's coin toss had no pattern. Dr. Miller explained that, while the five-head pattern is interesting, it is BEST explained by
Answer: random events
Step-by-step explanation:
Based on the information given in the question, the scenario can be best explained by a random event.
Random event refers to the event that cannot be made exact and one whose outcome can't be predicted. An example is the sum of numbers that are gotten when two rolled dice are rolled.
From the experiment, one student had five heads in a row, while the other student's coin toss had no pattern depicts a random event.
a pair of integers whose difference is -12
There can be infinitely many pair of integers that have the difference -12.
Examples:
1. (12),(24)
{12-24}
2. (24), (36)
{24-36}
3. (0),(12)
{0-12}
Find the scale factor for the given two similar rectangles.
A. 1/3
B. 1/4
C. 1/5
D. 1/6
HELPPPPP!!!!!!!!!!!!
Answer: A) 1/3
Explanation: ok the left triangle is 9 and 27 and the right triangle is 3 and 9
The way you find this is saying what can you multiple the smaller numbers to get the big numbers, so 9 x 3 = 27 and 3 x 3 = 9 which is the bigger triangles area. The easiest way to do this in the future is take the biggest numbers and divide them by the denominated in your answer choices because if you took 27 and 9 / 3 you would get the numbers on the right side triangle. Good luck in the future :)
b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?
Answer:
The answer would be D
Step-by-step explanation:
I did the quiz
Step-by-step explanation:
n(u)=200
no(A)=80
no(B)=75
ii) Using both brand=200-80-75
=45
iii)n(A)=80+45
=125
iv)n(B)=75+45
=120
which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2
Answer:
Option D: x ≥ 1.
Step-by-step explanation:
Here we have the quotient:
[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]
Here we have two restrictions for the domain.
first, the denominator can never be zero, so x must be different than zero.
Second, the arguments of the square roots can not be negative.
The one in the denominator is always positive because we have the square of x.
So let's look at the values of x, such that:
15*(x - 1) ≥ 0
(x - 1) ≥ 0
x ≥ 1
Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:
x ≥ 1.
The correct option is D
4x - 10 + 5x = 71 solve the equation and enter the value of x below
Answer:
x = 9
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:
4x - 10 + 5x = 71
(4x + 5x) - 10 = 71
9x - 10 = 71
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 10 to both sides of the equation:
9x - 10 (+10) = 71 (+10)
9x = 71 + 10
9x = 81
Next, isolate the variable x by dividing 9 from both sides of the equation:
(9x)/9 = (81)/9
x = 81/9 = 9
x = 9 is your answer.
~
In which section of the number line is 32−−√?
where's the number line?
maybe u can attach it at the comments:)
Answer:
Section B
Step-by-step explanation:
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Step-by-step explanation:
The solution and answer are well written in the Pic above.
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Can someone help me with this math homework please!
Step-by-step explanation:
these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.
come on ! are you really not understanding this ?
I think you are not trying to learn and get better, you try to get others doing your work for you.
these problems are so simple that stating them here costs you more time than just solving them.
remember fractions ?
remember the problems to find the smallest common denominator for a list of fractions ?
the first question is exactly that.
what is the smallest common denominator of 3/4, 1/3 and 1/2 ?
because that is the number you need to multiply both sides to eliminate all fractions.
so, what is the smallest number that can be split by 4, 3 and 2 ?
is it 2 ? no, 4 and 3 can't do that.
is it 3 ? no, 2 and 4 can't do that.
...
is it 6 ? no, 4 can't do that.
...
is it 8 ? no, 3 can't do that.
...
is it 12 ? yeah ! all 3 can do that.
here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.
here it would be
2×3×4 = 24
but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.
"isolate the variable" means having it only on one side of the equation.
so, what do you think ?
subtracting any constants does not change anything for "j".
from all the offered options only the subtraction of 1.1j eliminates j from one side.
the runners save.
you only need to translate the words into the corresponding mathematical symbols.
runner 1 has $112 already saved.
that is our starting value for this runner.
so, 112 + ...
received a $45 gift card. so, $45 are added.
so, 112 + 45 + ...
saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.
so, 112 + 45 + 25m
we know already, it is the second option.
but for training purposes let's look at runner 2 too :
he starts with $50 already saved.
so, 50 + ...
saves $60 each month (m). same principle as above.
so, 50 + 60m
if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.
-3x + 1 + 10x = x + 4
how do we solve this ?
by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).
1 + 7x = x + 4
1 + 6x = 4
6x = 3
x = 3/6 = 1/2
hurray, it is the first option !
Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2
Answer:
x = 6 units
Step-by-step explanation:
For θ = 30°, Perpendicular is 3. Hypotenuse is x.
We can use trigonometry to find x.
[tex]\sin(30)=\dfrac{P}{H}[/tex]
[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]
So, the value of x is equal to 6 units.
An item was marked down 64% from its original price,x . The amount discounted was $30. Which equation can be used to find the original price
Answer:
OP = discount amount × 100 / discount %
Step-by-step explanation:
if I understand this correctly, the actual sale price was 36% (100-64) of the originally marked price.
original price (OP) = 100%
64% of OP = 30
1% of OP = 30/64
OP (100%) = 100 × 30/64
this could be simplified to 100 × 15/32, but this hinders is finding the global formula :
OP = discount amount × 100 / discount %
Which function is represented by the graph?
5
4
3
2
Of(x) = -x - 3] + 4
f(x) = -x + 3 + 4
f(x) = -x + 4 + 3
f(x) = -x + 4 + 3
-5 A-3 -2 -1 2 3 4 5
2+
-3
45
Step-by-step explanation:
The correct answer is f(x)=3^(x+3)
please I need answer right now pleasssseee
Find the lowest common multiple of
A. 12,18,36
B. 9,27,18
please plz plz
Answer:
1.)36
2.)54
Step-by-step explanation:
sana po makatulong gehehe
The perimeter of a rectangular swimming pool is 56 meters. The width is 4 meters less than the length. What is the width of the swimming pool? 4 meters 4 meters 8 meters 8 meters 12 meters 12 meters 24 meters
Answer:
Length = 16 meters
Width = 12 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
length = x
Width = (x - 4) meters
Perimeter of the rectangular pool = 56 meters
Perimeter of a rectangle = 2(length + width)
56 = 2{x + (x - 4)}
56 = 2(x + x - 4)
56 = 2(2x - 4)
56 = 4x - 8
56 + 8 = 4x
64 = 4x
x = 64/4
x = 16
length = x = 16 meters
Width = (x - 4) meters
= 16 - 4
= 12 meters
Which compound inequality is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0?
Hello,
Answer D
ax-b < -c or ax-b >c
If ax-b >0 then |ax-b| = ax-b ==> ax-b > c
if ax-b <0 then |ax-b|=-(ax-b) > c ==> ax-b <-c
The equivalent compoud inequality is (d) ax - b > c or ax - b < -c
How to determine the compound inequality?The absolute value expression is given as:
| ax -b | > c
Given that c > 0, then it means that:
| ax -b | > 0
So, we have the following inequalities from | ax -b | > c
ax - b > cax - b < -cHence, the equivalent compoud inequality is (d) ax - b > c or ax - b < -c
Read more about compoud inequality at:
https://brainly.com/question/24544713
I NEED HELP SOMEONE HELP ME OUTTT!!
Find the slope between the points (-1,11) and (-6,-7)
Answer:
m=18/3
Step-by-step explanation:
m=-7-11/-6-(-1)
3/8 + 1/8 - 1/3 + 1/4 =
Answer:
0.41666666, to round up, the answer is 0.42
Step-by-step explanation:
[tex] \frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4} = \frac{4}{8} - \frac{1}{3} = \frac{4}{24} + \frac{1}{4} = \frac{10}{24} = \frac{5}{12} [/tex]
If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?
Answer:
are you asking how many points are needed to get 90% in
a class that has a total of 3400 points ?
id so that is : 3060
Step-by-step explanation:
HELP ME WITH THISSS PLZZZ!!!! ahh thank youu lol
state the square root of 53-12root10
Answer: ~15.05267 (im not sure though i just used a calculator)
A triangle has two sides that measure 7 centimeters and 16 centimeters, respectively. Which statement is true about x, the length in centimeters of the third side?
7 16
x<9orx>23
Answer:
9<x<23
Step-by-step explanation:
I'm not sure if this is what it wants, but theres this theorem that says a side needs to be less than the other two combined.
x+7>16
x+16>7
16+7>x
=>
x>9
x>-9
x<23
=>
9<x<23
the sum of the squares of two positive integers is 183 if one integer is 3 less then the other, find the larger integer
Answer:
I believe the question is incorrect
Step-by-step explanation: 7 1 17 02
take the english statement and convert it to math
sum of the squares of two positive integers is 183 x² + y² = 183
one integer is 3 less than the other x = y - 3 x is three less than y
find the larger integer use the two equations to solve for y the larger number
x² + y² = 183 and x = y - 3
(y - 3)² + y² = 183
y² - 6y + 9 + y² = 183
2y² - 6y = 182 - 9
2y² - 6y = 173
2y² - 6y - 173 = 0
this equation does not result in an integer
2y² - 6y - 173 = 0
the ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?
Answer:
There are 18 girlsStep-by-step explanation:
explanation given in the image ❣️◕Jess bregoli◕❣️#keep learning!!work out the area of the triangle 35.7m 17m 28.9m 13.6m
Answer:
N/A
Step-by-step explanation:
the question is not in depth could you add a photo
