f(x)={(x^(2)+4 x 1):}
Answers
Answer:
Substitute the given value into the function and evaluate:
f(x)=6x
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Related Questions
solve the following inequality for z. write your answer in the simplest form.10z-3(z - 8)<-6z+ 9 - 1
Answers
Let's start!
As a first step you have to simplify both sides of the inequality:
7z+24<-6z+8
Then, add 6z to both sides:
7z+24+6z<-6z+8+6z
13z+24<8
Now, we are going to subtract 24 from the both sides of the inequality:
13z+24-24<8-24
13z<-16
As a final step, you have to divide both sides by 13.
13z/13<-16/13
z<-16/13
The same honey is sold in 2 different size jars. Large jar=540 for £4.10 small jar= 360 for £2.81 which jar is the best value for money?
Answers
The large jar has better value for money than the smaller one.
Which jar is the best value for money?To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.
For the first jar we have:
q = £4.10/540 = 0.0075
For the second jar we have:
q' = £2.81/360 = 0.0078
Then we can see that the large jar has the best value for money.
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I am sure this is easy if you know what you are doing. I am a little confused. Please help.
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The required exact value of cos ∠XYZ is 11/16, as of the given triangle.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
From the triangle,
a = 6 m, b = 8 m, c = 7 m
Apply the cosine rule, for ∠XYZ
CosY = b² + c² - a² / 2bc
CosY = 8² + 7² - 6² / 2×8×7
CosY = 77 /16×7
CosY = 11/16
Thus, the required exact value of cos ∠XYZ is 11/16, as of the given triangle.
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A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.
A. 5.5%
B. 5.6%
C. 5.7%
D. 5.8%
Get 50 points for an answer and brainlyiest for explination
Answers
Answer:
B
Step-by-step explanation:
Can someone help with this? Thank you!
Answers
The value of x is 24 and different angles of hexagon will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
Describe angle.An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.
We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).
Given the figure is hexagon,
the sum of angles of a hexagon is 720,
Upon adding the given angles,
mA = (7x-8)°
mB (4x+46)°
mC = (5x)
mD = (6x+12)°
mE = (x+7)°
mF = (5x-9)°
⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720
⇒ 28x + 48 = 720
⇒ 28x = 672
⇒ x = 24
Therefore, the angles will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
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Dylan paid a plumber $120 for 4 hours of labor. How much does the plumber charge per hour of labor? A. $15 per hour B. $30 per hour C. $116 per hour D. $480 per hour stay safe!
Answers
Answer:
Brainleist :)
Step-by-step explanation:
120 dollars for 4 hours of labor
120/4 dollars for 1 hour of labor
B) 30 dollars for 1 hour of labor
answe:
B) 30 dollars for 1 hour of labor
Step-by-step explanation:
120 dollars for 4 hours of labor
120/4 dollars for 1 hour of labor
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Factorize this does it have Any breaking form??
4a^2+4a-5
Answers
Answer:
\((2a + 1+\sqrt{6})(2a + 1-\sqrt{6})\)==========================
Identities we will use:
\(a^2+2ab+b^2=(a+b)^2\)\(a^2-b^2=(a+b)(a-b)\)===========================
Given expression:
\(4a^2+4a-5\)Factorize it by completing the square and setting the difference of squares:
\(4a^2+4a + 1-6=\)\((2a)^2+2*1*2a + 1^2-6=\)\((2a+1)^2-6=\)\((2a + 1+\sqrt{6})(2a + 1-\sqrt{6})\)16. A park in the shape of a triangle has a 20-mile bike path going along the sides. Donald rode 6 miles on the first side and 8 miles on the secon side. How long is the third side of the park? Perimeter Area Side Length
Answers
Answer:
6 miles
Step-by-step explanation:
Since the perimeter of the whole park is 20 feet, if 2 sides combined is 14 miles, the other side of the park is going to be 6 miles. 20 - 14 = 6
a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.
Answers
help asap ty
will possibly mark brainliest.
Answers
Answer:
Step-by-step explanation:
Letter B is the correct answer
Initial population is 200, tripled every hour
200 x 3 = 600
First hour 200
Second hour = 600 + 200 = 800
Third hour 800x3 = 2400 + 800 = 3200
and so on.
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $52. The total cost to rent 9 chairs and 7 tables is $86. What is the cost to rent each chair and each table?
Answers
Answer:
The cost for 1 chair is $2.75 and the cost for 1 table is $8.75
Step-by-step explanation:
Use the elimination method of linear equations to find your answer.
Our equations for this problem are:
3c+5t=52 and 9c+7t=86
1. Multiply the entire first equation by -3.
-3(3c+5t=52)
2. Simplify the equation from above:
-9c-15t=-156
3. Stack the two equations on top of each other and add/subtract:
-9c-15t=-156
9c+7t=86
4. You should be left with -8t=-70. Simplify this to find the value of t:
t=8.75
5. Plug the value of t into any of the original equations and solve for c.
3c+5(8.75)=52
6. Simplify the equation above:
3c+43.75=52
7. Subtract 43.75 from both sides of the equation:
3c=8.25
8. Divide both sides by 3 to get your c value:
c=2.75
evaluate function expressions
Answers
Please answer me the question and find the graph and question number 2 find the area of the surface
Answers
Which digits repeat in the decimal number
Answers
Answer:
1/3 is a example since if you do the math correctly ,1 divided by 3, you will get 0.333... and with the 3's going to infinity and so on.
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answers
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true?
P(t) = 60(3)^t/2
A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day
Answers
Answer:
A
Step-by-step explanation:
Given
P(t) = 60 \((3)^{\frac{t}{2} }\)
Then
P(1) = 60 × \(3^{\frac{1}{2} }\) = 60\(\sqrt{3}\)
P(2) = 60 × 3 = 180
P(3) = 60 × \(3^{\frac{3}{2} }\) = 60 ×\(\sqrt{3^{3} }\) = 60 × 3\(\sqrt{3}\) = 180\(\sqrt{3}\)
P(4) = 60 × 3² = 60 × 9 = 540
P(5) = 60 × \(3^{\frac{5}{2} }\) = 60 × \(\sqrt{3^{5} }\) = 60 × 9\(\sqrt{3}\) = 540\(\sqrt{3}\)
P(6) = 60 × 3³ = 60 × 27 = 1620
From these 6 results we see that
P(3) = 3 × P(1)
P(4) = 3 × P(2)
P(5) = 3 × P(3)
P(6) = 3 × P(4)
The predicted number of organisms triples every 2 days → A
Find the 3rd term in the expansion of ( 5 � − 7 � ) 3 (5x−7y) 3 in simplest form.
Answers
The third term in the expansion of the expression (5x - 7y)³ is 735xy².
Given expression is,
(5x - 7y)³
We have to expand this.
We know that,
(a + b)³ = a³ - 3a²b + 3ab² - b³
Using this,
(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³
= 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³
= 125x³ - 525x²y + 735xy² - 343y³
Here the third term is 735xy².
Hence the third term is 735xy².
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WILL MARK BRAINLYIST
Answers
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
Please help me solve this, it’s the last question.
Answers
The value of the double integration is 7776 after solving and integration. the answer is 7776.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
Double integration (x + y) dA
y = x²
y² = 216x
y = √216 √x
∫∫(√216 √x + x²)
After solving:
\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)
=7776
Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.
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11. C and d are complementary angles.
C= (3x + 8)° and D= (2x – 8)°. Find the value of x.
Answers
90 = (3x+8) + (2x-8)
solve for x and get 18
i) Group 1 contains 170 students, all of whom have taken at least one of the three courses listed above. Of these, 61 students have taken Calculus, 78 have taken Sociology, and 72 have taken Spanish. 15 have taken both Cal- culus and Sociology, 20 have taken both Calculus and Spanish, and 13 have taken both Sociology and Spanish. How many students have taken all three classes? (ii) You are given the following data about Group 2. 32 students have taken Calculus, 22 have taken Sociology, and 16 have taken Spanish. 10 have taken both Calculus and Sociology, 8 have taken both Calculus and Span- ish, and 11 have taken both Sociology and Spanish. 5 students have taken all three courses while 15 students have taken none of the courses. How many students are in Group 2?
Answers
The number of students that took all the three classes is 40
The number of students are in Group 2 is 51 students
How to find the number of students that tool all the three classes(i) To find the number of students who have taken all three classes, we need to subtract the number of students who have taken only two classes from the number of students who have taken at least one class.
Let's call the number of students who have taken all three classes "x".
The number of students who have taken Calculus and Sociology is 15 + x.
The number of students who have taken Calculus and Spanish is 20 + x.
The number of students who have taken Sociology and Spanish is 13 + x.
Adding these three equations, we have:
15 + 78 + 72 = 15 + x + 78 + x + 72 + x
solving for x
165 = 45 + 3x
120 = 3x
isolating x
So, x = 40.
hence, 40 students have taken all three classes.
(ii) To find the number of students in Group 2, we need to add the number of students who have taken at least one class to the number of students who have taken none of the classes.
Let's call the number of students in Group 2 "y".
The number of students who have taken at least one class is
32 + 22 + 16 - 10 - 8 - 11 + 5 = 36.
Therefore, y = 36 + 15 = 51.
So, there are 51 students in Group 2.
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The question is in the picture.
Answers
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
Write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Do not simplify any part of the expression.
Answers
An expression for given sequence of operations is: j + 3^9
In this question, we need to write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Consider the part of given statement,
raise 3 to the 9th power
We write this as: 3^9
then we add this result to j.
So, we get an expression: 3^9 + j
Therefore, an expression for given sequence of operations is: j + 3^9
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Find the slope of a line perpendicular to the line whose equation is x + 6y = -24.
Fully simplify your answer.
Answers
Answer:
\(m_{perpendicular}\) = 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + 6y = - 24 ( subtract x from both sides )
6y = - x - 24 ( divide through by 6 )
y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form
with slope m = - \(\frac{1}{6}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answers
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
Please help me I will mark brainliest! The ratio of the number of boys to the number of girls in a school is 3:4. One-third of the boys and three-eighths of the girls wear spectacles, If there are 612 pupils who do not wear spectacles, a)find the total number of the pupils in the school, and b) how many more girls than boys are there in the school
Answers
Answer:
a) 952
b) 136
Step-by-step explanation:
Ratio of b:g = 3:4, based on this we have:
Number of boys = 3xNumber of girls = 4xTotal number of pupils = 3x+4x = 7xNumber of spectacle wearers:
1/3*3x + 3/8*4x = x + 3/2x = 2.5xNumber of those not wearing spectacles:
7x - 2.5x= 4.5xAnd this number equals to 612, then we can find the value of x:
4.5 x = 612x= 612/4.5x= 136a) Total number of pupils:
7x = 7*136 = 952b) The difference in the number of boys and girls:
4x-3x= x = 136Answer:
total number of students: 952
number of girls more than boys :136 more girls
Step-by-step explanation:
1/3 of boys +3/8 girls= spectacles
612 people do not wear spectacles
3:4= boys: girls
total number of students
3+4=7
boys + girls = total ratio
7= total ratio
1/3×3=1 3/8×4=3/2
1+3/2=5/2
7-5/2=9/2 9/2=612 students
If 9/2=612 Then 7=?
7= 7÷ 9/2×612
=952 people
Girls more than boys
if 7= 952
3= 3/7 × 952=408 boys
if 7 = 952
4= 4/7 ×952=544girls
Girls - boys
544- 408 = 136 girls
jenny works for 30 hours and is paid £318, calvin works for 28 hours and is paid £287
jenny is paid more per hour than calvin, how much more?
Answers
Answer:
Jenny is paid £0.35 more per hour.
Step-by-step explanation:
To find out how much Jenny is paid more, we must first calculate how much each of them is paid per hour.
Jenny:
30h = £318
1h = £318 ÷ 30
= £10.60
Calvin:
28h = £287
1h = £287 ÷ 28
= £10.25
Difference:
£10.60 - £10.25 = £0.35
Answer:
£0.35
Step-by-step explanation:
Hope this helps
PLEASE PLEASE HELP
The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance formula, determine the most precise classification of LMNP.
Answers
So, the most precise classification of quadrilateral LMNP is a kite.
What is equation?In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.
Here,
To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.
The distance formula is given by:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using this formula, we can calculate the length of each side of the quadrilateral as follows:
LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29
MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116
NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29
PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116
Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.
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The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answers
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...
there are 15 squares and nine circles what is the simplest ratio of circles to total shapes?
Answers
Answer:
3 to 8
Step-by-step explanation:
There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.