Answer:
f(x)=(x+4)-10
Step-by-step explanation:
Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.
The vertex is (-4, -10)
Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.
The equation we rewrite is f(x)=(x+4)-10
The average of three numbers is 15. Two numbers are 7 and 10. What is the third number?
The Answer is 28
Step-by-step explanation:
3. Over what interval is the function decreasing?
The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Answer:
x∈(-∞; 0).
Step-by-step explanation:
1) the given function is a parabola with its vertex in (0;0). Then
2) the increasing interval is (0:+∝), decreasing interval is (-∝;0).
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Answer:
Card 5: 49.98 Card 6: 153.86 sq. ft
Step-by-step explanation:
Card 5: Find the circumference, 28(3.14)=87.92. Then divide by 4 cause the circle is spilt in fourths. 87.92/4=21.98. Then add 28 for the sides. 21.98+28=49.98
Card 6: Find the area, 14^2(3.14)= 615.44. Then divide by 4 since the circle is cut into fourths. 615.44/4=153.86.
Your checkbook register shows these activities for the month. Old balance: $134. 56 Check 512 to Good Stuff for $32. 19 Deposit: $345. 12 Check 513 to Hometown Apt for $250. 00 Check 514 to Farland Grocery for $16. 65 Check 515 to Dr. Scott for $45. 00 What is your new checkbook balance? O $225. 64 O S169. 14 O S135. 84 O $122. 45
Answer:
$135.84
Step-by-step explanation:
Your starting checkbook balance is $134.56.
Deposits increase your balance. Add your deposit to the balance: $134.56+$345.12 = $479.68
Now add up all the checks:
$32.19+$250.00+$16.65+$45.00 = $343.84
Checks are money taken out of your account, so you subtract them from your balance
$479.68 - $343.84 = $135.84
5. The graph of t(x) is shown below. Determine the zeros of (x) points) -3,0 GO -6-54 -10 -9 3-2-1 2. 7 3 9 10 .+1)=0 A
Answer:
(- 3, 0 ) , (0, 0 ) , (4, 0 )
Step-by-step explanation:
the zeros are the points on the x- axis where the graph crosses , so
zeros are (- 3, 0 ) , (0, 0 ) , (4, 0 )
14 What fraction of $1.75 is 77c? Express this
fraction as a percentage.
Answer:
What is 1.75 as a fraction?
Converting Decimals to Fractions
Numbers can sometimes be easier to work with in fraction form or decimal form, depending on what you are using them for. Fortunately, there are easy steps you can use to convert, or change, fractions into decimals or decimals into fractions.
Answer and Explanation:
Become a Study.com member to unlock this answer! Create your account
To convert 1.75 into a fraction, let's first look at the .75 part of the decimal. .75 means '75 hundredths.' That means the corresponding fraction...
Step-by-step explanation:
Find the volume of the rectangular prism.
Answer:
8 x 8 x 8 = 512
Step-by-step explanation:
Hope this helps! Have a great day :)
Answer:
512
Step-by-step explanation:
LxWxH
8x8x8=512
The Answer is actually B I took the test
Answer:
hola poop
Step-by-step explanation:
What’s The Answer Of This? NO BOTS
Answer:
B is your answer: Angle pair "MTS" should be 107 and "STN" should be 73
Step-by-step explanation:
You need to do 180-73 because "s" is unknown.
That should be 107 degrees.
Angle pair "MTS" should be 107 and "STN" should be 73
This is due to alternate interior angles, same side angles, and congruency properties.
Solve this quadratic equation using the quadratic formula.
2x 2 - 10x + 7 = 0
I hope this helped! :)
What is the equation in slope-intercept form of the line that passes through the point (2,-2)
and is perpendicular to the line represented by y = x + 2?
2
=X+2?
5
A y = 3x - 7
5
B
y = 2x + 7
+ 7
c y=-zx-3
5
C -2
X
5
D y=-3x + 3
The equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3
Equation of a lie in slope-interceptThe equation of a line in slope intercept form is expressed as:
y = mx + c
m is the slope
c is the intercept
Given the equation of a line y = x + 2, the slope of the line perpendicular is -1/2. If this line pass through the point (2, -2), the required equation will be
y - (-2) = -1/2(x+2)
2(y+2) = -(x+2)
2y + 4 = -x - 2
2y = -x - 6
y = -1/2 - 3
Hence the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3
Learn more on equation of a line here: https://brainly.com/question/13763238
Find the area in square meters of a circular pond with a radius of 8 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)
The area of a circular pond with a radius of 8 ft is, 18.67 m².
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The radius of circle = 8 feet
Now, We know that;
⇒ 1 feet = 0.3048 m
⇒ 8 feet = 8 × 0.3048 m
= 2.4384 m
We know that;
⇒ Area of circle = πr²
Substitute all the values, we get;
⇒ Area of circle = 3.14 × (2.4384)²
⇒ Area of circle = 3.14 × 5.94
⇒ Area of circle = 18.67 m²
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ1
help please ! brainliest to first correct answer
What is the solution for x2 –18x < –77?
x < –11 or x > 7
x < –7 or x > 11
–11 < x < 7
7 < x < 11
Question 2(Multiple Choice Worth 2 points)
(07.01 LC)
A two-variable inequality is shown in the graph.
upward opening parabola which is dashed with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curve
Which point is not included in the solution set for the inequality?
(–1, 3)
(0, 4)
(1, 5)
(2, 4)
Question 3(Multiple Choice Worth 2 points)
(07.01 MC)
Which graph represents the solution of y ≤ x2 + 2?
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading outside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading outside parabola
Question 4(Multiple Choice Worth 2 points)
(07.01 MC)
What is the range of the function f(x) = |x| + 5?
R: {f(x) ∈ ℝ | f(x) < 5}
R: {f(x) ∈ ℝ | f(x) ≥ 5}
R: {f(x) ∈ ℝ | f(x) > 5}
R: {f(x) ∈ ℝ | f(x) ≤ 5}
Question 5(Multiple Choice Worth 2 points)
(07.01 MC)
What is the solution to the inequality |2x + 3| < 7?
4 < x < 10
–5 < x < 2
x < 4 or x > 10
x < –5 or x > 2
The questions are illustrations of inequalities
The solution to the inequality is 7 < x < 11The range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}The solution to the inequality is x < –5 or x > 2The solution to the inequalityThe inequality is given as:
x² - 18x < -77
Add 77 to both sides
x² - 18x + 77 < 0
Expand the inequality
x² - 7x - 11x + 77 < 0
Factorize the inequality
x(x - 7) - 11(x - 7) < 0
Factor out x - 7
(x- 7)(x - 11) < 0
Solve for x
x < 7 or x < 11
This means that the solution to the inequality is 7 < x < 11
The graph that represents the solutionThe inequality expression is given as:
y ≤ x² + 2
See attachment for the graph of the inequality
The range of the functionThe function is given as:
f(x) = |x| + 5
The smallest value of |x| is 0.
So, we have:
f(x) > 0 + 5
Evaluate
f(x) > 5
Hence, the range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}
The solution to the inequalityThe inequality expression is given as:
|2x + 3| < 7
Remove the absolute expression
2x + 3 < 7 or 2x + 3 < -7
Subtract 3 from both sides
2x < 4 or 2x < -10
Divide both sides by 2
x < 2 or x < -5
Hence, the solution to the inequality is x < –5 or x > 2
Read more about inequality at:
https://brainly.com/question/11234618
#SPJ1
A company sells sports drinks for $2.00 each. The company pays $0.75 for each drink and $10 per week
for a permit to sell the drinks. What is the least number of drinks the company must sell each week to make
a profit?
im really bad at math I need help
option 3
center (-1,-5)
radious √41
hope this helped!
Between which two consecutive numbers does √48 fall on the number line
Answer:
6 and 7
Step-by-step explanation:
Answer: a) 6 and 7
Step-by-step explanation:
The square root of 48 is 6.928… so it’s between those two numbers
Lamar and Mimi are in the same math class. The table shows their scores on 6 math tests. Lamar Mimi 93 90 97 93 96 90 95 91 94 90 98 100 The best measure of center in this scenario is the , and its values for Lamar’s and Mimi’s data are and , respectively. When comparing the measures of center, we can conclude that generally Lamar’s scores are Mimi’s.
The best measure of centre is the mean , don't take median as we need average of marks here.
Lamar- 93,90,97,93,96,90Mimi:-95,91,94,90,98,100Mean of Lamar
93+90+97+93+96+90/6559/693.16%Mean of Mimi
95+91+94+90+98+100568/694.66%Mimi has been better
PLease help i will give brainliest
What is a scenario for y= 4x+2
Answer:
a club has 2 dollar down payment and 4 $ per week how much money is owed after 2 weeks
Step-by-step explanation:
4) If rectangle WXYZ has slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)
20 POINTS!!!! ill mark brainliest! The hypotenuse of the triangle measures 18, what is the radius of circle A? Is the radius the same all around?
Answer:
The radius is 3 and it is the same all around
Step-by-step explanation:
Since The hypotenuse equals the two other sides squared, let's find out what those are.
[tex]\sqrt{9} + \sqrt{9} = \sqrt{18}[/tex]
Now, let's find the square root of those 9s.
[tex]\sqrt{9} = 3[/tex]
Those other sides we talked about (more specifically the base of the triangle) are the radius of the circle because of how they extend to the exterior of the circle, which means since their length is 3, the radius is also 3.
The radius is always constant so it is supposed to be the same all around.
Please help. Will mark brainlyest.
If PR = 20. then what is PX=
Answer:
PX = 10
Step-by-step explanation:
PR = 20
PX = PR/2 (diagonals of parallelogram bisect eachother)
or, PX = 20/2
so, PX = 10
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply. 0 = 3x2 2x – 2 0 = –2 – 3x2 3 0 = –3x 3x2 – 2 0 = 3x2 x 2 0 = –1x – 2 3x2
The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.
The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.
The first equation given in the problem is,
[tex]0 = 3x^2 +2x - 2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.
The second equation given in the problem is,
[tex]0 = -2 - 3x^2 +3[/tex]
Rearrange the equation as,
[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]
In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.
The third equation given in the problem is,
[tex]0 = 3x^2 +x +2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.
The fourth equation given in the problem is,
[tex]0 = -1x - 2 +3x^2[/tex]
Rearrange the equation as,
[tex]0=3x^2-1x-2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.
Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
Learn more about the quadratic equation here;
https://brainly.com/question/1214333
Year Population
2011 - 118,000
2017 - 138,000
a. To the nearest hundredth
of a percent, what is the
percent of change from
2011 to 2017?
The percent of change is about a
___% increase.
Answer:
16% or 16.9492% I'm going to be honest I'm not 100% sure though
Annabeth logged onto her computer for school at 1:09 pm she paused for a snack break for 30 minuted then started again and then she logged off at 3:47 pm. How long was Annabeth on the computer for?
Starting time:-
1:09PM=13:09+0:30=13:39Now
Ending time:-
3:47PM=15:47PMTotal active time:-
15:47-13:392:08hoursOr
2hours 8minAnswer:
2 hours 8 minutes
Step-by-step explanation:
Let the total amount of time of Annabeth's being on the computer be x hours
since she paused using computer for a snack break for 30 minuted, our x turns out to be
[tex]x+0:30[/tex]
The initial time is 1:09 pmThe final time is 3:47 pmThus our equation would like
[tex]1:09+x+0:30=3:47[/tex]solving the equation yields:
[tex]1:09+x+0:30=3:47\\\implies 1:39+x=3:47\\\implies x=3:47-1:39\implies \boxed{x=2:08}\rm hours [/tex]
hence,
Annabeth was on her computer for 2 hours 8 minutes
Note:
1 Hour=60 minutesSolve the equation. –9x 1 = –x 17 x = –8 x = –2 x = 2 x = 8
The value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
What is the solution of equation?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
The equation given in the problem is,
[tex]-9x +1 = -x +17\\[/tex]
To solve this equation, take the terms of variable x left side of the equation and constant term other side,
[tex]-9x +x = 17-1\\-8x=16[/tex]
Divide both side of the equation with number 8 as,
[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]
Hence, the value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
Learn more about the solution of the equation here;
https://brainly.com/question/21283540
Answer: The Answer Is; B) x = –2
Step-by-step explanation: Correct Answer On Edge2020.
(And the correct way to write the equation is; –9x + 1 = –x + 17 , other wise others wouldn't know if it was " +'s " OR " -'s " ..)
can you please hel me it do tonight thank you.
The inequality in both inequality expressions is the less than or equal to sign
The correct values of the inequality [tex]-1 \le \frac x2[/tex] are x values that are at least -2.The correct values of the inequality [tex]1 \le \frac {-x}2[/tex] are x values that are at most -2.How to complete the tables?Inequality 1
The inequality is given as:
[tex]-1 \le \frac x2[/tex]
Multiply both sides by 2
[tex]-2 \le x[/tex]
Rewrite as:
[tex]x \ge - 2[/tex]
The above means that the correct values of x are at least -2.
See attachment for the complete table is as follows:
Inequality 2
The inequality is given as:
[tex]1 \le \frac {-x}2[/tex]
Multiply both sides by 2
[tex]2 \le -x[/tex]
Rewrite as:
[tex]-x \ge 2[/tex]
Multiply both sides by -1
[tex]x \le -2[/tex]
The above means that the correct values of x are at most -2.
See attachment for the complete table is as follows:
Read more about inequalities at:
https://brainly.com/question/11234618
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as startfraction 1 over 5 c 3 endfraction. the probability that mariah will not choose all mysteries can be expressed as 1 − startfraction 5 c 3 over 20 c 3 endfraction.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The complement of an event is the remaining possibilities.
Our event is Mariah choosing 3 mysteries.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
Learn more about probability here;
https://brainly.com/question/11234923
Answer:
Options:
A- There are 20C3 possible ways to choose three books to read.
B- There are 5C3 possible ways to choose three mysteries to read.
E- The probability that Mariah will not choose all mysteries can be expressed as 1 − StartFraction 5 C 3 Over 20 C 3 EndFraction.
Step-by-step explanation:
Assuming that the families use the same appliances in the same way, who spends more to run these appliances in a given 30 day period and by how much? a. the reed family spends $13.80 more than the merrill family. b. the reed family spends $0.46 more than the merrill family. c. the merrill family spends $58.80 more than the reed family. d. the merrill family spends $18.60 more than the reed family.
The family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
For this case, the missing table for expenses of both families is:
Reed Family Appliances
Gas range 5 cents per day
Gas dryer 1 load per day-10 cents per load
Electric water heater 90 cents per day
Typical later model refrigerator 16 cents per day
Total cost per day 5+10+90+16= 166 cents = $1.21
Merrill Family Appliances
Electric range 13 cents per day
Gas dryer - 1 load per day 10 cents per load
Gas water heater 40 cents per day
Energy Star-labeled refrigerator 12 cents per day
Total cost per day 13+10+40+12 = 75 cents = $0.75
Since each of them used these appliances for 30 days, so we get:
Case 1: Expense by Reed Family in 30 days:Expense in 30 days = [tex]30 \times[/tex] expense per day
Expense in 30 days = [tex]30 \times 1.21 = \$36.3[/tex]
Case 2: Expense by Merrill Family in 30 days:Expense in 30 days = [tex]30 \times[/tex] expense per day
Expense in 30 days = [tex]30 \times 0.75 = \$22.5[/tex]
So, Reed family spent more.
The difference is $36.3 - $22.5 = $13.80
Thus, the family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.
Learn more about multiplication here:
https://brainly.com/question/26816519