Answer:
x = -7, +3
Step-by-step explanation:
x² - 25 = -4x - 4
Put it all on one side
x² - 25 + 4x + 4 = 0
Put like terms together
x² + 4x - 21 = 0
Factor
(x + 7)(x - 3) = 0
x + 7 = 0 ⇒ x = -7
x - 3 = 0 ⇒ x = +3
x = -7, +3
y=x-12 y=13 solve for x
Answer:
Step-by-step explanation:
x - 12 = 13
x = 25
y = 12
Answer:
x=25
Step-by-step explanation:
y=x-12....eq1
y=13.... eq2
Substituting eq2 in 1:-
13=x-12
x=12+13=25
For the function f(x) = 16x^3 - x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 1. Complete the table. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) An accurate conjecture for the slope of the tangent line at x = 1 is (Round to the nearest integer as needed.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
Interval Slope of secant lines
[1,2] 113.000
[1, 1.5] 75.000
[1, 1.1 ] 51.960
[1, 1.01] 47.482
[1, 1.001] 47.048
Step-by-step explanation:
From the question we are told that
The function is [tex]f(x) = 16x^3 -x[/tex]
Now considering the intervals
For [1, 2]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(2) - f(1)}{2-1} = \frac{16(2)^3 - 2 - [16(1)^3 -1] }{2-1 } = 113.000[/tex]
For [1, 1.5]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.5) - f(1)}{1.5-1} = \frac{16(1.5)^3 - 1.5 - [16(1)^3 -1] }{1.5-1 } = 75.000[/tex]
For [1, 1.1]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.1) - f(1)}{1.1-1} = \frac{16(1.1)^3 - 1.1 - [16(1)^3 -1] }{1.1-1 } = 51.960[/tex]
For [1, 1.01]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.01) - f(1)}{1.01-1} = \frac{16(1.01)^3 - 1.01 - [16(1)^3 -1] }{1.01-1 } =47.482[/tex]
For [1, 1.001]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.001) - f(1)}{1.001-1} = \frac{16(1.01)^3 - 1.001 - [16(1)^3 -1] }{1.001-1 } =47.048[/tex]
A square-shaped park has an area of 324 yd2. What are the dimensions of the park?
Answer:
18 yards
Step-by-step explanation:
[tex]\sqrt{324}[/tex] = 18
Answer:
the dimensions are 81
Step-by-step explanation:
write the converse of the following statement
if it stops raining then I will go to the park
find the minimum of c=x+3y
Answer:
14
Step-by-step explanation:
The objective function C=x+3y is the same as one of the constraining boundaries, x+3y≥14. Hence the minimum value of C is constrained to be 14.
Find the slope of the line passing through each of the following pairs of points: (7, −3), (8, −7)
Answer:
m=-4
(the slope is negetive 4)
Step-by-step explanation:
Answer:
[tex]-4[/tex]
Step-by-step explanation:
Start with point-slope form:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify your values.
[tex]x_1=7\\x_2=8\\y_1=-3\\y_2=-7[/tex]
Substitute.
[tex]\frac{-7-(-3)}{8-7}[/tex]
The [tex]-3[/tex] becomes positive as it is being multiplied by a negative.
[tex]\frac{-7+3}{8-7}[/tex]
Combine like terms.
[tex]\frac{-4}{1}[/tex]
Rewrite.
[tex]-4[/tex]
the area of a parallelogram is 96cm^2 of the figure is 6 cm. What is the height?
an ice machine makes 1 1/2 pounds of ice every 1/2 hour. witch graph shows this proportional relationship?
Answer:
4th one
Step-by-step explanation:
The graph that represents the situation is required.
The correct option is option 2.
Here the [tex]x[/tex] axis denotes the number of hours and
[tex]y[/tex] axis denotes the pounds of ice.
The given ordered pair is
[tex](\dfrac{1}{2},1\dfrac{1}{2})=(0.5,1.5)[/tex]
At zero hours the ice produced will be zero so, the third and fourth options are incorrect.
The only graph where the line passes through [tex](0.5,1.5)[/tex] is option 2.
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find the difference. 2g/g^2-g-6 - 1/g-3
Answer:
2g - 1
g²-g-6 g-3
2g - 1
(g-3)(g+2) g-3
take lcm
2g- 1(g+2)
(g-3)(g+2)
g-2
g²-g-6
Step-by-step explanation:
Step-by-step explanation:
answer is g-2/ g^2-g-6
mark this as brainliest!
The table shows a relationship between X^ - values. Which statement describes the pattern created by the values ?
Answer:
is that i-ready
Step-by-step explanation:
Help please, I will give a brainly to whoever has it done first
Answer:
297/40 or 7.425
Step-by-step explanation:
Hope this helped
To find the volume you got to multiply W by H and L
What is the ratio of the circumferences for two circles with areas 6pi m2 and 150pi m2?
1:10
1:5
1:25
1:50
Answer:
c
Step-by-step explanation:
Which of the following is irrational?
6
25
0.16
900
Answer:
0.16
Step-by-step explanation:
Pt. 1 The result of adding a complex number to its conjugate is a.- a whole number b.-an integer, c.- a real number, d.- a pure imaginary number Pt. 2 And the result of subtracting a complex number from its conjugate is a.- a whole number, b.-an integer, c.- a pure imaginary number, d.- a real number
Answer:
Step-by-step explanation:
A complex number is a number that has both real and imaginary part. An example of a complex number is z = x+iy where x is the real part and y is the imaginary part.
If z = x+iy, the conjugate of z₁ will be x-iy
adding the complex number to its conjugate will give;
P = z+z₁
P = x+iy +(x-iy)
open the parenthesis
P = x+iy+x-iy
collect like terms
P = x+x+iy-iy
P = 2x
We can see that the resulting value does not contain the imaginary number i, hence the result is a real number.
Hence the result of adding a complex number to its conjugate is a REAL NUMBER
Taking the difference;
P = = z-z₁
P = x+iy -(x-iy)
open the parenthesis
P = x+iy-x+iy
collect like terms
P = x-x+iy+iy
P = 0+2iy
P = 2iy
We can see that the resulting value contains the imaginary number i, hence the of taking their difference is a complex number.
Hence the result of subtracting a complex number from its conjugate is an IMAGINARY NUMBER
Please someone help! It’s not very complicated
Show how u got the answer!
Answer:
1891
Step-by-step explanation:
night 1: 4000 seats- 2950 seats= 1050 empty.
night 2: 4000 seats- 3159 seats= 841 empty.
1050+841= 1891 empty seats for the two nights.
Hope this helps! ;)
Answer:
total seats for two night= 4000*2=8000
seat occupied= 3159+2950= 6109
Total empty seat= 8000-6109=1891
Step-by-step explanation:
g=4a - 4, for a
how do u solve that.
Answer: g -4/a
Step-by-step explanation:
How do you define mathematics?
Answer:
The overall group of sciences that study numbers, shapes and their relationships. An example of math is arithmetic, the study of addition, subtraction, multiplication and division.
The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)
Answer:106.
Step-by-step explanation:
у (x) = 5x - 9 find each value
evaluate the expression when y=3
y²-7y-4
Answer:
-16
Step-by-step explanation:
3^2-7(3)-4
The sum of two consecutive whole numbers is 171, What are the two numbers?
Answer:
85 + 86 = 171
Step-by-step explanation:
Just divide 171 by 2 = 85.5, so it pretty clear the rest is just logic.
(85.5 - 0.5) + (85.5 + 0.5) = 171
Help me please i dont know what to write
Answer:
Decomposers in a food web are organisms that break down dead or decaying organisms and turn them into simpler, inorganic materials, making nutrients available for primary producers. A rotten fruit is not completely wasted because it will go back into the dirt for a producer to use, and the food chain continues.
Hope this helps!
-5(y + 1) + 6y
Need help
Answer:
1y - 5
Step-by-step explanation:
Remember to follow PEMDAS. Simplify the expression.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, distribute -5 to all terms within the parenthesis:
-5(y) = -5y
-5(1) = -5
Next, combine like terms:
-5y + 6y - 5
(-5y + 6y) - 5
1y - 5
1y - 5 is your answer.
~
When you look into a mirror, you see your reflection. Explain how this relates to reflections in
geometry.
what are the steps to finding a midpoint with decimals?
How many different letter permutations, of any length, can be made using the letters M O T T O (For instance, there are 3 possible permutations of length 1.)
Answer:
89
Step-by-step explanation:
Given that
2 O, 2 T and 1 M
Now based on this, the following ways are there
1
Three ways i.e. {M,T,O}
2
XX or XY
XX in 2C1 = two ways i.e. {OO or TT}
XY in 3C2 × 2! = six ways
3
XXY or XYZ
XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve ways
XYZ in 3C3 × 3! = six ways
4
XXYY or XXYZ
XXYY = 4! ÷ (2! × 2!) = six ways
XXYZ in 2C1 × 4! ÷ 2! = twenty four ways
5
= 5! ÷ (2! ×2!)
= 120 ÷ 4
= 30
Therefore, the total is
= 3 + (2 +6)+ (12 +6) + (6 +24) + 30
= 89
There are 30 different letter permutations.
The word is given as:
MOTTO
From the given word, we have the following parameters:
[tex]n = 5[/tex] --- the number of characters in the word[tex]T = 2[/tex] --- the number of times letter T appears[tex]O = 2[/tex] --- the number of times letter O appearsThe number of different (d) letter permutation is then calculated as:
[tex]d = \frac{n!}{T!O!}[/tex]
This gives
[tex]d = \frac{5!}{2!2!}[/tex]
Evaluate each factorial
[tex]d = \frac{120}{2 \times 2}[/tex]
Evaluate the product of 2 and 2
[tex]d = \frac{120}{4}[/tex]
Divide 120 by 4
[tex]d = 30[/tex]
Hence, there are 30 different letter permutations.
Read more about permutations at:
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How many thousands are in 30 hundreds
Answer:
3
Step-by-step explanation:
30 hundreds = 30*100 which = 3000 and 3000/1000 = 3
Answer:
3
Step-by-step explanation:
30x100=3000 is the answer to solving your problem
What is the answer for n-29=-53
Answer:
n=-24
Step-by-step explanation:
Answer:
n =-24
Step-by-step explanation:
[tex]n-29=-53[/tex]
Collect like terms and simplify
[tex]n =-53+29\\\\n =-24[/tex]
What is the additive inverse of t ? *
Answer:
-t
Step-by-step explanation:
Additive inverse of t:
t*-1 = -t
State whether the data described below are discrete or continuous, and explain why.
The number of car accidents on a given stretch of highway each year
Choose the correct answer below.
O A. The data are continuous because the data can take on any value in an interval.
OB. The data are discrete because the data can take on any value in an interval.
C. The data are continuous because the data can only take on specific values.
D. The data are discrete because the data can only take on specific values.
Answer: D. The data are discrete because the data can only take on specific values.
Step-by-step explanation:
Discrete data refers to data that has a specific value in a specific period and so can be counted as opposed to continuous data that cannot be counted as it goes on to infinity. An example of continuous data would be the height of students in a class. This is continuous because a person's height could be 1.02325845...... metres.
The number of car accidents on a particular stretch of highway can be counted and the data can only take on a specific value thereby making it discrete data.
In this exercise we have to use the knowledge of distance to understand which the best alternative corresponds to car accidents, in this way we find that:
Letter D. The data are discrete because the data can only take on specific values.
Discrete information in visible form refers to data that bear a distinguishing value fashionable a distinguishing period accordingly can be check in order as opposite to continuous information in visible form that cannot be deem as it continue to infinity.
An instance of constant data hopeful the height of person actively learning fashionable a class. This is constant cause a person's crest could be 1.02325845 metres.
The number of vehicle driven on streets accidents in contact a particular stretch of heavily traveled maybe have importance and the data can only oppose a particular financial worth by that making it discrete information in visible form.
See more about distance at brainly.com/question/989117