Answer: 3/10
Step-by-step explanation:
Take the derivative of [tex]10x^2-6x-3[/tex] to get [tex]20x-6[/tex]. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
[tex]20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}[/tex]
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
It takes Mrs. Self 6 hours to bake 53 cookies. What is the constant of proportionality? Write your answer as a decimal rounded to the nearest tenth
Answer:
I believe its 8.8.
Step-by-step explanation:
What I did was divide 53 by 6.
Max has a Starbucks' gift card for $50. HIs favorite drink is the S'mores Frappuccino. Each drink costs $4.25. How many frappuccinos can Max purchase with his gift card? Write an inequality to represent the number of frappuccinos Max can purchase. How many frappuccinos can Max purchase with his gift card?
Answer:
4.25x ≤ 50
Number of drink = 11
Step-by-step explanation:
Given:
Amount of gift card = $50
Each drink cost = $4.25
Find:
Number of drink
Computation:
Assume;
Number of drink = x
So,
4.25x ≤ 50
x ≤ 11.76
so,
Number of drink = 11
Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. Negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal's equations has no solution? 7 x + 1 = 7 x+ 1 3 x + 2 = 3 x minus 2 4 x + 1 = 3 x + 8 negative 2 x minus 1 = negative 2 x minus 1
Given:
Four equations are
[tex] 7 x + 1 = 7 x+ 1[/tex]
[tex]3 x + 2 = 3 x-2[/tex]
[tex]4 x + 1 = 3 x + 8[/tex]
[tex]-2x-1 = -2 x-1[/tex]
To find:
Without solving which equation has no solution.
Solution:
We know that, in an equation
1. No solution : When variable terms are same but constants are different.
2. Unique solution : When variable terms are different.
3. infinitely many solution : When variable terms and constants are same.
In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.
Therefore, these two equations (first and fourth) have infinitely many solutions.
In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.
Therefore, the second has no solutions.
In third equation, coefficient of x are difference on both sides.
So, this equation has unique solution.
Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.
Answer:
D
Step-by-step explanation:
The larger number is five more than the smaller number. Four more than three times the
smaller number is twice the larger number. Find both numbers.
Answer:
Larger number = 11
Smaller number = 6
Step-by-step explanation:
Let the larger number = x
Let the smaller number = y
x - y = 5
3y + 4 = 2x Subtract 2x
-2x + 3y + 4 = 0
===========
Multiply the first equation by 2. Write the second equation underneath
2x - 2y = 10
-2x + 3y + 4 = 0
add
y + 4 = 10
Subtract from both sides
y = 10 - 4
y = 6
==========
x - y = 5
x - 6 = 5 Add 6 to both sides
x = 5 + 6
x = 11
Answer:
6 and 11Step-by-step explanation:
x ← the smaller number
x+5 ← five more than the smaller number - the larger number
3x ← three times the smaller number
3x+4 ← four more than three times the smaller number
2(x+5) ← twice the larger number
3x + 4 = 2(x + 5)
3x + 4 = 2x + 10
-4 -4
3x = 2x + 6
-2x -2x
x = 6
x+5 = 6 + 5 = 11
Check: 3•6 + 4 = 22; 22:2 = 11
Write the equation of the line through the points (-3, 9) and (4, 2) in POINT-SLOPE FORM
Answer:
y-9=-1(x+3)
Step-by-step explanation:
The formula for point slope is y2-y1=m(x2-x1). So, we can use the values of the given points to solve the equation for m, or, the slope. We get an equation with the result of 2-9=m(4+3), which gives us the slope as -1. Now, substitute your xy values back in, to get the equation
Use multiplication to write 2 + 2 + 2 +
2+2.
Answer:
5 × 2
Step-by-step explanation:
Multiplication is a simpler way of writing 'adding the same number multiple times'
Here you have added 5 2s together
So the answer is 5 times 2
To answer this question, type your answer in the box.
Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
answer for free brainly
Answer:
20 feet
Step-by-step explanation:
Which function, g or h, is the inverse function for function f
Answer:
2,0
Step-by-step explanation:
chhxhxxhhxh
Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5
Step-by-step explanation:
Let's make the number we're finding to be [tex]a[/tex]. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be [tex]\frac{a}{4} +12\\[/tex]. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be [tex]\frac{a}{3} -5\\[/tex]. Since they are the same, we have the equation below.
[tex]\frac{a}{4} +12 = \frac{a}{3} -5\\[/tex]
All we have to do now is to find [tex]a[/tex].
[tex]\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204[/tex]
Answer:Our number must be [tex]204[/tex]. I think
[tex]4(3x-2)=16[/tex]
Answer:
x=2
Step-by-step explanation:
12x-8=16
12x=24
x=2
Catherine has 6 gallons of milk and uses 26/5 gallons to make cookies. What fraction of a gallon does she have left?
Answer:
4/5 gallons left
Step-by-step explanation:
make sure before subtracting that it has the same denominator.
Answer:2
Step-by-step explanation:
There are 256 Tsp in a gallon...so 1 Tsp = 1/256 gal. If one batch of cookies calls for 3 Tsp of milk, 5 batches will require 15 Tsp. So..... 15 / 256 ...
2 answers.
your welcome!!
Explain why thirteen
hundredths are equivalent to one hundred
thirty thousandths. pls help i’m so dumb
Answer:
thirteen hundredths=13/100
one hundred thirty thousandths=130/1000
cancelling by 10 this is =13/100
hence the question
Step-by-step explanation:
13/100 is equivalent to 130/1000 because if you simplify 130/1000 it becomes 13/100.
You simplify 130/1000 by dividing both sides by 10. 130 divided by 10 is 13, and 1000 divided by 10 is 100.
What is the probability of flipping at least 1 tail? As a fraction
Answer:50%
Step-by-step explanation:2 sides =100%/2=50
Pls explain the how you got the answer for me: On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled answers: A. 620
B. 589
C. 58909
D. 560
Answer:
A
Step-by-step explanation:
.95* S = 589 where S is the # of students in the school
S = 589/.95= 620
does anyone else hate school right know
Yeah it literally sucks I can't concentrate because of the internet issues
Answer:
Yes! I hate this thing as well it ruined everything!!!!!!!
A box Jelly fish travels at a rate of 6.5 feet per second. What is the distance after 5 seconds?
Answer:
32.5ft
Step-by-step explanation:
Answer:
32.5 feet per 5 seconds
Step-by-step explanation:
multiply 5 by 6.5 you get 32.5
Would anyone mind solving this? Thank you!
A skating rink charges a group rate of $9.25 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a total of $39. How much does it cost to rent one pair of skates?
Answer:
4.25$ per pair of skates
Step-by-step explanation:
Subtract 9.25 from 39. You get 29.75. Just divide 29.75 by 7 and you get 4.25
5(2x-3) = 25. help pls :)
Step-by-step explanation:
10x - 15 = 25
10x = 25 + 15
10x = 40
Divide both sides by 10
X = 4
The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?
Answer: 17.5
Step-by-step explanation:
7:10 = x:25
times both sides by 25
25(7/10) =x
than solve for x
X = 25 × (7/10)
X = 17.5
The amount of fresh water left in the tanks of a nineteenth-century clipper ship is a linear function of the time since the ship left port, as shown in the table. Write an equation in point-slope form that represents the function. Then find the amount of water that will be left in the ship's tanks 60 days after leaving port.
1=3555
8=3240
15=2925
The line with slope m that contains the point (x1, y1) can be described by the equation
y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.
Let x represent the number of days since the ship left port and y represent the number of gallons of water.
Two points on the line are (8,3240) and (1, 3555).
m =
3555 − 3240
1 − 8
=
315
−7
= −45
y − y1 = m(x − x1) Point-slope form.
y − 3555 = −45(x − 1) or y − 3240 = −45(x − 8)
y − 3555 = −45(60 − 1) Substitute for x.
y − 3555 = −2655 Simplify the right side.
y = 900 Solve for y.
900 gallons of water will be left after 60 days.
Hope this helped! (I didn't do it sooner cause I just did the quiz lol)
The equation of the function, in point-slope form, is given by:
[tex]y - 3555 = -45(x - 1)[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A line, in point-slope form, is represented by the following equation:
[tex]y - y_0 = m(x - x_0)[/tex]
In which:
m is the slope, which is the rate of change.The point is [tex](x_0, y_0)[/tex].We have two points: (1, 3555) and (8,3240).
Taking the first point, [tex]x_0 = 1, y = 3555[/tex].The slope is given by change in y divided by change in x, thus:[tex]m = \frac{3240 - 3555}{8 - 1} = -45[/tex]
Then
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 3555 = -45(x - 1)[/tex]
The amount after 60 days is y when x = 60, thus:
[tex]y - 3555 = -45(60 - 1)[/tex]
[tex]y = 900[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A similar problem is given at https://brainly.com/question/13967935
What is the value of ?
StartFraction 2 pi Over 3 EndFraction
Answer: -pi/6
Step-by-step explanation:
it's correct.
Answer
-pi/6
Step-by-step explanation:
got it on edge
What is a+4+3+h+3+4+333+f=f+3+333h
solve and i will make you Brianlyest
Answer:
a + h + f + 344 = 2f +3 + 333h
Step-by-step explanation:
(Even though that equation has no sense that is what you would get.)
Answer:
Step-by-step explanation:
h =1 86
---------- Sa + ------------
332 . 83
a jeweler is using 10 pounds of alloy that is 2% platinum. He wishes to combine these mixtures to form a mixture that is 3% platinum. How many pounds of the second alloy should be added to the first to get a mixture that is 3% platinum
Answer:
You can't solve this unless you have the amount of the other alloy.
Step-by-step explanation:
For example, the question should be something like:
A jeweler is using 10 pounds of alloy that is 2% platinum. He has another alloy that is 5% platinum. He wishes to combine these mixtures to form a mixture that is 3% platinum. How many pounds of the second alloy should be added to the first to get a mixture that is 3% platinum?
Help please. I need this ASAP
Answer:
B
Step-by-step explanation:
Expanding the factors using FOIL
A
(x - 3)(x + 4)
= x² + 4x - 3x - 12
= x² + x - 12 ← a trinomial
B
(x + 3)(x - 3)
= x² - 3x + 3x - 9
= x² - 9 ← a binomial
C
(x - 3)² = (x - 3)(x - 3) = x² - 6x + 9 ← a trinomial
Let f (x) = 1 - 2x + 3x3 and g(x) = 6 + 7x?. For f (x) · g(x), what is the coefficient of the x term?
А.-14
B.4
C.7
D.21
E.18
HELP ILL GIVE U BRAINLEST!!
Answer:
19/24
Step-by-step explanation:
Which graph can be used to find the solution(s) to x2 - 4x + 4 = 2x + 1 + x??
Answer:
The answer is c
Step-by-step explanation:
You can put both side equations into graphing calculator
given: -3x+20=8; prove: x=4
Answer:
4
Step-by-step explanation:
Step 1:
- 3x + 20 = 8 Equation
Step 2:
- 3x = 8 - 20 Subtract 20 on both sides
Step 3:
- 3x = - 12 Subtract
Step 4:
x = - 12 ÷ - 3 Divide
Answer:
x = 4
Hope This Helps :)
Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
-3x + 20 = 8
Step 2: Solve for x
Subtract 20 on both sides: -3x = -12Divide both sides by -3: x = 4Step 3: Check
Plug in x to verify it's a solution.
-3(4) + 20 = 8
-12 + 20 = 8
8 = 8
Each of your eight friends owes you 10$. use integer multiplaction to represent the total amount your friends owe you
Answer:
$80 bucks
Step-by-step explanation:
