Answer:
F'(x)=4x3+16x
Step-by-step explanation:
If it takes 3 gallons of gas to travel 90 miles, how many gallons of gas does it take to travel 240 miles?
Answer:
8 gallons
Step-by-step explanation:
Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0
Answer:
lesser x = -1.84lesser x = -8.16Step-by-step explanation:
Given the expression
[tex]\left(x+5\right)^2-10=0[/tex]
Add 10 to both sides
[tex]\left(x+5\right)^2-10+10=0+10[/tex]
Simplify
[tex]\left(x+5\right)^2=10[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
solve
[tex]x+5=\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=\sqrt{10}-5[/tex]
[tex]x=\sqrt{10}-5[/tex]
[tex]x=-1.8[/tex]
so
[tex]x+5=-\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=-\sqrt{10}-5[/tex]
Simplify
[tex]x=-\sqrt{10}-5[/tex]
[tex]\:x=-8.2[/tex]
As -1.84 > -8.16
so
lesser x = -1.84lesser x = -8.16A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction
Answer:
0.8%
Step-by-step explanation:
Number of people had mild allergic attack = 72
% of people who had mild allergic attack = 72/9000 × 100%
= 0.8%(Answer)
The expression 17x is equivalent to the expression x 7.
Answer:
False
Step-by-step explanation:
There is not a one in the 2 expression listed
Need help with this math problem
Find the sum of 4x^2-4x+104x
2
−4x+10 and 2x^2+5x-82x
2
+5x−8.
The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have:
First expression:
[tex]\rm 4x^2-4x+10[/tex]
Second expression:
[tex]\rm 2x^2+5x-8[/tex]
Let's denote the sum of these two expressions with F(x)
[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]
Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
Learn more about Polynomial here:
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In example 5, a hot dog stand is located halfway between the shoe store and the pizza shop, at point H. Show that PH=HM.
A park, a shoe store, a pizza shop, and a movie theater are located in order on a city street. The distance between the park and the shoe store is the same as the distance between the pizza shop and the movie theater.
Answer:
rteiyykykkucouyrilhk,dkrbbvvbnkl
Find the slope of the line through (9, 4) and (0, 5).
Answer:
It's just y2-y1 over x2-x1
Step-by-step explanation:
so pick a coordinate and make it 1 and make the other one 2 and put in the numbers.
The slope of the line will be m = -1/9.
What is the general equation of a Straight line?The general equation of a straight line is -y = mx + c
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis
Other possible equations of line are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line through (9, 4) and (0, 5).
The slope of the line will be -
[m] = (4 - 5)/(9 - 0)
[m] = - 1/9
Therefore, the slope of the line will be m = -1/9.
To solve more questions on straight line, visit the link below-
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help me please!!!!! :D
Answer:
13 or 30
Step-by-step explanation
It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons?
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
A. 18
B. 22
C. 24
D. 28
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity on the large right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)
x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )
x = 18 → A
Magda is going to finance her car purchase using an auto loan which statement below is accurate
Answer:
where are the answer choices
Answer:
The statement that is accurate is:
"Her principal is the cost of the car, minus any down payment she makes."
Step-by-step explanation:
I really don’t understand these two question plz help
Answer:
1) I would remove the '-2' first by adding '2' to both sides. Technically, it does not matter the order you remove the '5' or '-2' though it would be more of a hassle if you were to remove the number associated w/ a variable as you would do extra steps when there is a possibility to do it in less steps. So, ideally, it does matter but depending on your perspective.
2) You would begin by turning '1' into a fraction that has the same denominator as the fraction it is to be added to. This would get you 7/7. Then, you add 7/7 to 4/7 in order to get your final answer of 11/7. You could also just put the two numerical values together as '1 4/7' but I am inferring they want it in an improper fraction format. The steps to get an improper fraction are ideal since it is the simplest way to get to the final answer.
If you have any more questions please comment them and I will be happy to answer them if I can ^^
Fellow brains pls help.... Is this true or false?
Rearrange x = 3g + 2 to make g the subject g=?
Step-by-step explanation:
x=3g+2
you need to move the equation to the other side, first you'd start with the one furtherest from g, which is is 2.
x = 3g
-2. - 2
and minus it from both sides
x-2=3g
3g is like 3x, which is 3 times x and you need to use the opposite operators so times would become divide.
so now it becomes x-2 over 3=g
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
1/4 of the drink is apple juice and
2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
Answer:
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
Step-by-step explanation:
Given
[tex]Apple = 1/4[/tex]
[tex]Orange = 2/5[/tex]
Required
Determine the ratio of Cranberry to Apple to Orange
First, we calculate the fraction of Cranberry using:
[tex]Cranberry + Apple + Orange = 1[/tex]
Substitute values for Apple and Orange
[tex]Cranberry + 1/4+ 2/5= 1[/tex]
Collect Like Terms
[tex]Cranberry = 1- 1/4- 2/5[/tex]
Take LCM
[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]
[tex]Cranberry = \frac{7}{20}[/tex]
The ratio is then represented as:
[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]
Multiply through by 20
[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]
[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
Write 5^3 as a product of the same factor.
Answer:3*3*3*3*3=243
Step-by-step explanation:
227.4 + 213.5
513.9 – 46.1
348.2 + 62.8
637.9 – 206.3
Step-by-step explanation:
227.4 + 213.5 = 440.9
513.9 – 46.1 = 467.8
348.2 + 62.8 = 411
637.9 – 206.3 = 431.6
Answer:
1: 440.9
2: 467.8
3: 411
4: 431.6
Hope this helps.
Answer:
1. 440.9
2. 467.8
3. 411
4. 431.6
Step-by-step explanation:
Find the length of side A
Answer:
D) 4
Step-by-step explanation:
Calculate these, and write each awnser in Standard Form.
Step-by-step explanation:
Do you need answers to all of them of some of them?
1. (4.5×10¹²)÷(9×10^10)
(45×10^-1×10¹²)÷(9×10^10)
(45×10¹¹)÷(9×10^10)
(45÷9)×(10¹¹÷10^10)
5×10
if you need help with the others kindly let me know
simplify 5 x a x 5 x a
Answer:
25 a squared
Step-by-step explanation:
please give me a brainliest!!<3
Identify the constant of proportionality from the table.
Answer:
A. 9
Step-by-step explanation:
A P E X
how do you do this equation ?
solving inequalities
8 ≤ 2x < x + 7
Answer:
4≤x<7
x€[4,7)
Step-by-step explanation:
8≤2x<x+7
=>8≤2x
=>2x<x+7
x≥4
x<7
therefore
4≤x<7
x€[4,7)
URGENT!!! PLEASE HELP (30 points !!!)
Use the line tool to graph the equation on the coordinate plane.
y=-3
John is working for his dad during his summer vacation. Complete the rate chart below to find how much money John makes in a certain number of days.
Number of Days 15 18 21 24 27
Total Amount of Money Made (in dollars) 75 ? 105 120 135
A.
70
B.
80
C.
90
D.
105
Answer:
it's answer is C 90
hope it helps you
Answer:
the answer is 90
I hope it helps mate
I will always help you understanding your assingments
enjoy your day
#Captainpower:)
PLEASE HELP ITS DUE SOONNN
Answer:
Red
Step-by-step explanation:
Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6
Answer:
y = 4x - 6
Step-by-step explanation:
8x - 2y = 12
-2y = -8x + 12
-2y/-2 = -8x/-2 + 12/-2
y = 4x - 6
can somebody good at math help me with these please I would really appreciate it
Answer:
down below:)
Step-by-step explanation:
sale price discount
1. multiplied by 0.82
2. multiplied by 0.75
3. multiplied by 0.9
1. 18.45
2. 30
3. 23.4
if anyone knows please help!!! i'm a bit confused
Answer:
yes
Step-by-step explanation:
find the measurement indicated in each parallelogram first one says 60 and second says 79 please help !
Answer:
1. 60+X=180(adjacent angles of parallelogram)
X=120
2. X=79(opposite angles of parallelogram)
CAN YOU PLEASE HELP ME ?
Answer:
Where is the question we can help you with