Answer:
The vertex is (-5, -1)
Step-by-step explanation:
Standard vertex form is a(x - b)^2 + c where (b, c) is the vertex.
Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
[tex]x = 24[/tex]
24 is less than 35
Step-by-step explanation:
Given
Jacob: 2000x + 3000
Carlos: 3800x - 40000
Solving (a):
To solve (a), we need to equate both expressions;
[tex]3800x - 40000 = 2000x + 3000[/tex]
Collect Like Terms
[tex]3800x - 2000x = 40000 + 3000[/tex]
[tex]1800x = 43000[/tex]
Solve for x
[tex]x = 43000/1800[/tex]
[tex]x = 24[/tex] --- Approximated
Solving (b);
The manager's prediction is 35 hours.
And the actual hours is 24.
By comparison;
24 is less than 35
find the rate of change ffor Y=4/5x-7/5
Answer:
4/5
Step-by-step explanation:
thats the slope so im assuming
Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump.
a) What are the key aspects of any parabola? What do the key aspects tell you about the graph?
(5 points)
It goes all the way up to its max point and comes down. Its max point is 32 and how far it went was from 15 to 35
b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)
It is a standard form graph and he needs to figure out the speed he is going to go and the angle
Step 2: Solve for coefficient a.
a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)
F(x)=ax2+bx+c
b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)
The picture of the question in the attached figure we know that The equation of a vertical parabola in vertex form is given by where a is the leading coefficient (h,k) is the vertex Looking at the graph we have a vertical parabola open downward (coefficient a is negative)The vertex is a maximum The vertex is the point (25.32) substitute in the equation
c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)
f(x)=-12/25(x-25)^2+32
Step 3: Change from vertex form to standard form.
To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form.
a) What is the equation for a parabola in standard form? (5 points)
y = ax^2 + bx + ct
b) Convert the vertex form of the equation you wrote above to standard form. (10 points)
c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)
Step 4: Calculate the equation for the flaming hoop jump.
Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome!
a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)
b) Determine the values of a, b, and c. Show your work. (10 points)
c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points)
d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)
Please help I only need help with steps 2 and 3!
Answer:
Step 2:
Part A
f(x) = a(x-h)^2 +k
Part B
I'm not really sure about this part
Part C
f(x)=-12/25(x-25)^2+32
Step 3:
Part A
y = ax^2 + bx + c
Part B
f(x) = -12/25(x - 25)^2 + 32
Part C
a = -12/25
b = 0
c = 32
Step-by-step explanation:
Hope This Helps!
Sorry For Taking So Long!
Answer:
For Step 3 Part B, the equation is
Step-by-step explanation:
f(x)= -0.48xˆ2+24x-268
estimate for 6 x 9 1/3
Answer:
Exact Form:
54/13
Decimal Form:
4.153846
Mixed Number Form:
4 2/13
Step-by-step explanation:
what is the branch of mathematics that uses variables and operations?
Answer:
Algebra
Step-by-step explanation:
Answer:
algebra, you can check on google as well
Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week
Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t
Answer:
a- just took the test
Step-by-step explanation:
Hector has 11 model trains. On each model train there are 8 wheels. In total, how many wheels are on Hector’s model trains?
Answer:
I think the answer is 88 wheels.
Step-by-step explanation:
You multiple 11 and 8 to get your answer or you can take 8+8+8+8+8+8+8+8+8+8+8 to get your answer.
raphael takes 15 pages of notes during math class. Then he takes 35 pages of notes during 14 hours of math class. How many pages of notes would raphael expect to take during 3 hours of math class?
Answer:
Raphael will take 7.5 pages of notes during 3 hours of math class.
Step-by-step explanation:
Given;
35 pages were taken during 14 hours maths class
how many pages of math would Raphael take during 3 hours maths class ?
14 hours --------------35 pages
3 hours --------------- ?
= (3 x 35) / 14
= 7.5 pages
Therefore, Raphael will take 7.5 pages of notes during 3 hours of math class.
i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)
Use the quotient rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]
Cindy is three years older than her brother and 8 years older than her sister. If the sum of
their ages is 25 years, how old is Cindy now?
Answer:
She is 12 years old
12-3=9
12-8=4
12+9+4=25
Menu
BBQ Chicken Platter: $11.99
Sirloin Steak Fajitas: $14.99
Vegetarian Fajitas: $7.99
Shrimp Tacos: $8.59
Your family is going to their favorite restaurant this evening. Both your parents order the sirloin steak fajitas. Your little brother and sister are going to split the BBQ chicken platter. You order the shrimp tacos. What is the total bill for the family?
Answer:
$50.56
Step-by-step explanation:
First- Calculate the number of dishes ordered and their prices-
Parents order-
Sirloin Steak Fajitas: $14.99 x 2
Little Sister and little brother-
BBQ Chicken Platter: $11.99
Your order-
Shrimp Tacos: $8.59
Add the amount-
14.99 + 14.99 + 11.99 + 8.59 = 50.56
Total bill 50.56
Salty's Surf Shop loses $35,000 during cold, rainy summers and profits $175,000 during summers that
are hot and dry. The probability that it will be hot and dry during summers is 30%. What is the expected
profit Salty would realize over 10 years?
Answer:
$280,000
Step-by-step explanation:
Given that:
Loss during cold = $35000
P(hot and dry) = 30% = 0.3
Hence ; P(cold) = 1 - 0.3 = 0.7
Profit during hot and dry= $175,000
Expected profit over 10 years =?
________Hot & Dry __________ Cold __
X : _______ 175,000 ________ -35,000
P(X) : _______ 0.3 ____________ 0.7
Expected probability (E(X)) = Σx*p(x)
= 0.3(175,000) + 0.7(-35,000)
= 52,500 + (-24,500)
= $28,000
Hence, expected profit over 10 years :
$28,000 * 10 = $280,000
1,032 divided by 10 to the 4th power
Answer:
0.1032
Step-by-step explanation:
Answer:
25000
Step-by-step explanation:
10x10=100
100x10=1000
1000x10=10000
10000x10=100000
100000 divied by 4= 25000
PLZ HELP BASIC c ALGEBRA BRAINLIEST TO QUICKEST ANSWER
Biologists have found that the number of chips some crickets make per minute are related to temperature. When crickets chirp 124 times a minute it is about 68 degrees Fahrenheit. When they chirp 172 times a minute, it is about 80 degrees Fahrenheit.
Write an equation in Slope Intercept, Standard, or Point Slope form that represents the situation.
What is the domain for...
y=0.25x-12
Answer:
Domain: (-infinity,infinity)
Step-by-step explanation:
You're welcome. :)
(I couldn't write the infinity symbol so I wrote infinity.)
In how many different ways can a ski club consisting of 15 people selected a team for national championship? There are 4 spots available on the team going to national championship.
Answer:
Step-by-step explanation:
Combination has to selection. When selecting 4 people out of a pool of 15 people, this can be done as thus according to combination formuka:
15C4 = 15!/(15-4)!4!
15C4 = 15!/11!4!
15C4 = 15*14*13*12*11!/11!*4*3*2
15C4 = 15*14*13*12/24
15C4 = 32760/24
15C4 = 1365 different ways.
Hence this can be done in 1365 different ways
find the value of x. PLEASE HELP!!!!
The answer is 8 - but I need to show my work.
Thanks so much
Answer:
Step-by-step explanation:
Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,
we know that :
49 + (1+5x) = 90
solving for x delivers x=8
25x 10 ^ 6 in standard form
25x10⁶ = 2.5x10⁷=25000000
#Learn more
-34/51 in standard form
brainly.in/question/12244412
Coca-Cola bottling company makes both glass and aluminum containers for their soda. The bottle machine is able to produce 2100 bottles every 6 hours. How many more bottles could they make in 8 hours that they can in 6 hour?
Group of answer choices
Please help!
Simplify the expression using order of operations:25 - 5 + 36/9 - 6(7)
Answer:
-18
Step-by-step explanation:
Follow these steps to get your answer!
Divide 36/9 and multiply -6(7)
25 - 5 + 4 - 42
Subtract 25-5
20 + 4 -42
Add 4 to 20.
24-42
Subtract 42 from 24.
-18
Answer:
-18
Step-by-step explanation:
start with the figure in brackets. 6(7)=42
then do division. 36/9=4
our expression now is 25-5+4-42
addition first 25+4=29
finish with subtraction. 29-5-42=-18
answer=-18
HELP ASAP
What is the value of x?
O x = 55°
O x = 60°
O x = 70°
O x = 110°
Answer:
the answer is the answer the answer is x=55 degrees because the angle sum for a triangle is 180 degrees and because we are told angle A and angle C are congruent that means you can simply take 180 - 70 to get 110 and i simply divided that by 2 and got 55 degrees
Step-by-step explanation:
The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of 9 cars, in hundreds of dollars, is provided below: 10,6,8,10,4,3.5,7.5,8,9 (a) What is the median cost of the total damage suffered for this sample of cars? (b) What is the first quartile for the above data? (c) What is the interquartile range of the above data? (d) What is the mean of the total damage suffered for this sample of cars? (e) Using the correct units, what is the value of the variance?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the cost data: 10,6,8,10,4,3.5,7.5,8,9
A.) Median cost :
Sorted data:
3.5, 4, 6, 7.5, 8, 8, 9, 10, 10
0.5(n + 1)th term ; n = number of samples
0.5(9 + 1)th term
= 0.5(10)th term = 5th term
Median = 5th term = 8
B.) First quartile (Q1) :
0.25(n + 1)th term ; n = number of samples
0.25(9 + 1)th term
= 0.25(10)th term = 2.5th term
Q1 = (2nd term + 3rd term) / 2 = (4+6)/2 = 10/2 = 5
Q1 = 5
C.) interquartile range = (Q3 - Q1)
Q3 = 0.75(n + 1)th term ; n = number of samples
0.75(9 + 1)th term
= 0.75(10)th term = 7.5th term
Q3 = (7th term + 8th term) / 2 = (9+10)/2 = 19/2 = 9.5
Q3 = 9.5
Q3 - Q1 = (9.5 - 5) = 4.5
D.) Mean (μ) :
μ = ΣX / n
n = sample size
μ =(10+ 6 + 8 + 10+ 4 + 3.5 + 7.5 + 8 + 9) / 9
μ = 66 / 9
μ = 7.33
3.) Population variance (s²)
Σ(x - μ)² / n - 1
=[(10 - 7.33)^2 + (6 - 7.33)^2 + (8 - 7.33)^2 + (10 - 7.33)^2 + (4 - 7.33)^2 + (3.5 - 7.33)^2 + (7.5 - 7.33)^2 + (8 - 7.33)^2 + (9 - 7.33)^2] / 9
= 45.5001 / 8
= 5.687
There are 20 circles and 12 triangles. What is the simplest ratio of triangles to total shapes
Answer:
3:8
Step-by-step explanation:
You can divide both numbers by 4, that gets you to your simplest ratio. :)
The ratio of the triangles to the total shape will be equal to 3: 8.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.
Given that there are 20 circles and 12 triangles. The ratio will be calculated as,
Ratio = triangles / total shape
Ratio = 12 / ( 20+ 12 )
Ratio = 12 / 32
Ratio = 3 / 8
Therefore, the ratio of the triangles to the total shape will be equal to 3: 8.
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ2
Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.
[tex]\huge\boxed{125.}[/tex]
[tex]\boxed{-------------------------------------}[/tex]
Explanation...
So, 25 legislators represents 500,000 people.
We are trying to find how much legislators you need to represent 2,500,000.
500,000*5=2,500,000.
25*5=125.
Therefore, your answer is 125.
[tex]\boxed{-------------------------------------}[/tex]
Hope i helped!
[tex]\huge\boxed{Thanks,Plip.}[/tex]
Answer: 125
In Kennington, 25 legislators represent 500,000 people.
Find how many times 500,000 go into 2,500,000 people.
2,500,000 ÷ 500,000 = 5
Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.
25 x 5 = 125.
Answer = 125.
Hope this helps you!
What is the simplified form of this expression (6^-4)-9 over 6^6
Answer:hope this helps
Step-by-step explanation:
The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates
point S.
Answer:
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
Step-by-step explanation:
Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:
[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)
Now clear S in the previous expression:
[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)
Then, the coordinates of point S are:
[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]
[tex]S(x,y) = (8, -18)[/tex]
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
Convert to decimal form: 1.118×10−6.
Match the pronoun type to the example.
1. personal
many
2. reflexive
those
3. relative
her
4. possessive
whom
5. interrogative
himself
6. demonstrative
what
7. indefinite
we
HELP 100 POINTS
Answer:
1. Personal = We
2. Reflexive = Himself
3. Relative = Whom
4. Possessive = Her
5. Interrogative = What
6. Demonstrative = Those
7. Indefinite = Many
Hope this helps.
Answer:
1. Personal = I,We,they
2. Reflexive = Himself,herself, themselves, ourselves
3. Relative :Whom,who
4. Possessive = Her,him,
5. Interrogative = What,why,how,which,
6. Demonstrative :Those,these,that
7. Indefinite = Many,someone,
The time it takes to completely clean an office building follows an exponential distribution with a mean of 135 minutes. What is the probability of cleaning an office building in 135 minutes or less?
Answer:
0.63212
Step-by-step explanation:
Given that :
Mean cleaning time (μ) = 135
Probability of cleaning the office is 135 minutes or less
Using an exponential distribution probability calculator :
P(X ≤ 135) = 0.63212
I need help nowwwwww !!!!!????
you should just have to times the yards by three like the second one is 12