Answer:
Step-by-step explanation:
a maximum or minimum occurs where the derivative equals zero
f(x) = -2x² + 14x - 10
f'(x) = -4x + 14
0 = -4x + 14
4x = 14
x = 3.5
f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5
Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.
Answer:
[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]
Step-by-step explanation:
We are asked to find the equation of a line, given a point and a slope.
We can use the point-slope formula:
[tex]y-y_1= m(x-x_1)[/tex]
In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:
x₁ = -5 y₁= 5 m= -7Substitute the values into the formula.
[tex]y-5= -7 (x- -5)[/tex]
[tex]y-5= -7(x+5)[/tex]
We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.
First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.
[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]
5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.
[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]
The equation of the line is y= -7x+30.
lets simplify
please help step by step
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
4 kilometers x miles
Answer:
6 437 376 m2 (2.49 mi)
Step-by-step explanation:
0.62137119 miles = 1 kilometer
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:
A)
(1, 1)
B)
(–1, 1) and (1, 1)
C)
(–1, 1) and (0, 2)
D)
(–1, 1)
Answer:
D) (–1, 1)
Step-by-step explanation:
The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.
y = y
-x² +2 = x² +4x +4
2x² +4x +2 = 0 . . . . . . . . . add x² -2
2(x +1)² = 0 . . . . . . . . . factor
x = -1 . . . . . . . . . . one solution that makes the factors zero
y = -x² +2 = -(-1)² +2 = -1 +2 = 1
The only solution is (x, y) = (-1, 1).
What Value is equivalent to 30-6 x 3
Answer:
5/1
Step-by-step explanation: I could be wrong though
Have a Good Day <3
the sum of 22 and n is equal to 45.13
Answer:
23.13
Step-by-step explanation:
Original price of shorts $53.95 Discount 30% Tax 4.5 percent %
Answer:
$39.50 is the final payment.
Step-by-step explanation:
0.3 x 53.95 = 16.185
53.95 - 16.185
= 37.765
0.045 x 37.765 = 1.699425 + 37.765
= 39.464425 and round
Please answer and show your work
Answer:
check online for more information
If a university accepts 40% of those students who apply for entrance, and 75% of admitted applicants accept, what percentage of total applicants actually accepts offers of admission?
Answer:
30%
Step-by-step explanation:
75% of 40 is 30
The percentage of total applicants that accepts offers of admission is = 30%
Calculation of percentage of total applicantsThe percentage of acceptance for students that apply for entrance is = 40%
The percentage of admitted applicants that accept the offer= 75%
This means that it is only 75% of 40% of the accepted students actually accept the offer of admission.
That is, 75/100 × 40%
= 3000/100
= 30%
Therefore, the percentage of total applicants that accepts offers of admission is = 30%
Learn more about percentage here:
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Item 2
Which equation represents this sentence?
Twice the difference of 0.75 and a number is−3.
2(n−0.75)=−3
2(0.75−n)=−3
2n−0.75=−3
0.75−2n=−3
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
twice means to multiply by 2
difference means to subtract, difference of 0.75 and a number is 0.75-n (n representing unknown number)
equals -3
Hope this helps!
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
it's B
ANSWER USING STEPS: y=2/3x-5
Use the correct trig function to find the value of x. SOH,CAH, TOA
x = 18.4
Step-by-step explanation:
For this problem, we are going to use the cosine function to find x:
[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]
[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]
Math expert please simplify this I am confuse thanks you
Answer:
11
Step-by-step explanation:
39 - 6 / 3
= (39 - 6) / 3
= 33 / 3
= 11
Answer:
a-2
Step-by-step explanation:
(3a-6)/3 You can factor the numerator to 3(a-2) so you have
[tex]\frac{3(a-2)}{3}[/tex]
simply divide by the 3->
a-2
Is the Ordered Pair (6, 8) a solution to the equation y=12x+4?
True, the Ordered Pair is a solution to the equation.
False, the Ordered Pair is NOT a solution to the equation.
Answer:
The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.
Step-by-step explanation:
Benji took out a $10,000 loan at a 13% interest rate. Benji will not make a payment for the next 3 years. How much will be owed in 3 years with monthly compounding?
Round your answer to the nearest cent.
(please help)
Answer:
Plug into calc
Step-by-step explanation:
A= P(1+r/n)^nt
A= 10000(1+.13/12)^12*3
I NEED HELP ASAP PLEASE HELP! AT BATTING PRACTICE TJ HAD 20 BASEBALLS PITCHED TO HIM HIT HIT THE BALL 7 TIMES! WHAT PERCENT OF THE BALLS DID TJ HIT?
There are 56 fourth graders going on a field trip. The teacher wants to divide them evenly into groups of 4 students and no more than 8 students. What are ways to divide the students evenly into groups
56 ÷14 =4
Step-by-step explanation:
dividing
56÷7=8
what is perpendicular lines
Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . In the figure, PR⊥QS. The right angle symbol in the figure indicates that the lines are perpendicular. PLS MARK BRAINLIEST :D
A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.
Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.
First find the area of the parking area:
Area of trapezoid = (Base ₁ + Base₂) / 2 x Height
= (90 + 100) / 2 x 30
= 2,850 feet²
The cost of resurfacing is:
= Area x cost per square foot
= 2,850 x 1.10
= $3,135
It will cost $3,135 to resurface the place.
Find out more at https://brainly.com/question/12451654.
PLEASE HELP ME!! I really need the help with this question!!
According to Belgium's 2018 Labor data: Number of employed= 1300, Number of unemployed = 300, Adult population =3,000. The unemployment rate of Belgium in 2018 was
a.10%
b.13%
c.18.75%
d.63.3%.
Solve
-46 + - 4
A. 50
B. 42
C. -42
D. -50
The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses and extract the numbers.
To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =-46 + (- 4)[/tex]
[tex]\large \sf =-46-4[/tex]
[tex]\boxed{\boxed{\large \sf -50 }}[/tex]
So, the numeric value of this numeric expression will be -50.
i need help plz the question is in the image
Answer:
46<h
Hopes this helps :)
What is 18/100 written as a decimal?
[tex]0.18[/tex]
is the decimal point
Triangle XYZ is similar to ABC.
Enter the missing side length.
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
Answer:
240$
Step-by-step explanation:
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
48 : 20 * 100 = 240
Write an equation for the line with a slope 3 and Y intercept -2
A. y=-3x -2
B. y= 1/3 x -2
C. y= 3x - 2
with explanation pls
Answer:
C. y=3x-2
Step-by-step explanation:
Well we know the equation: y=mx+b
The slope is m, so m= 3
And the y-intercept is b, so b= (0,-2) or b=-2
Then,
Subsitute everything in:
y= 3x -2
I hope this helped :)
a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?
Answer:
400 bushels of the 15%
600 bushels of the 10%
Step-by-step explanation:
x bushels of the 15% plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%
15x + 10(1000 - x) = 12(1000)
distribute
15x + 10000 - 10x = 12000
Combine like terms
5x = 2000
Divide both sides by 5
x = 400 bushels of the 15%
1000 - x = 600 bushels of the 10%
The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.
Let x be the bushels.
One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.
The linear equation can be framed:
15x + 10(1000 - x) = 12(1000)
By using the distributive property:
15x + 10000 - 10x = 12000
5x = 2000 (combine like terms)
x = 400 bushels of the 15%
= 1000 - x
= 1000 - 400
= 600 bushels of the 10%
Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
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NEED HELP PLS
Find the equation of the exponential function represented by the table below:
Answer:
y = 5(4ˣ)
Step-by-step explanation:
Answer:
y = 5 * 4^x
Step-by-step explanation:
exponential functions are of the form
y = ab^x
to find a use point (0, 5)
5 = ab^0
5 = a * 1
a = 5
To find b use any other point
using (1, 20)
20 = 5(b^1)
4 = b^1
b = 4
The equation is
y = 5 * 4^x
How to divided 4 and 2/4
Answer:
8
Step-by-step explanation:
turn 2/4 into fraction by dividing 2 by 4 equals to 0.5 then divide 4 by 0.5 equals 8