Answer: Sum of the roots: √19 - √19 = 0
Product of roots: (√19)(-√19) = -19
Step-by-step explanation:
y2 - 19 = 0
add 19 to both sides
y2 = 19
take square root of both sides
y = ±√19
So y = √19 or y = -√19
What is the value of 8.25p + 3.99c, when p=11 and c= 7? *
Answer:
Your answer is p=3.99;$51.87
Are these three side lengths a Pythagorean triple? YES
NO
Answer:
Yes
Step-by-step explanation:
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
[tex]\sqrt{50}[/tex] = c
[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
Answer:
NOStep-by-step explanation:
no, it is an acute isosceles triangle
(5√2 = 7.01)
Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers each. If there were no flowers remaining, at least how many bouquets did John make
Answer:
63
Step-by-step explanation:
The least common multiple of 7 and 9 is 63
hurry plz!!! I need help
Answer: See below
Step-by-step explanation:
The general transformation equation for an absolute value function is
y=a | x−h |+k.
f(x)=|x+4|
Horizontal translation 4 units left (positive value, move left)
f(x)=|x|-4
Vertical translation down 4 units (negative k value, move down)
f(x)=|x-4|
Horizontal translation 4 units right (negative value, move right)
f(x)=|x|+4
Vertical translation up 4 units (positive k value, move up)
Kennyhas$893inasavingsaccount.The interest rate is 8 1/5%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]
Answer:
$431.30(approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.
Answer:
Below in bold.
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1)
where m = the slope of the line and (x1, y1) is a point on the line.
Here m = 5, x1 = -3 and y1 = 6.
So we have:
y - 6 = 5( x - (-3))
y - 6 = 5(x + 3) (Answer)
Leo's hair is longer than Wes's hair. Wes's hair is longer than Ella's hair. Whose hair is longer
Answer:
Leo
Step-by-step explanation:
Leo > Wes
Wes > Ella
Leo > Wes > Ella
Answer:
Leo's hair is longer than both Wes's and Ella's hair.
Step-by-step explanation:
Leo's hair> Wes's hair>Ella's hair
3-⁵ * 10-⁵ * 125 ÷ 5-⁷ *6-⁵
who ever answer it I will give them a brainliest
Answer:
Below
Step-by-step explanation:
3^-5 * 10^-5 * 125 / 5^-7 * 6^-5
= (125 / 5^-7) / (3^5 *10^5 * 6^5)
= 0.0000516818 to 10 decimal places.
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
A) x = 0, –2, –4
B) x = 0, 2, 4
C) x = 2, 4
D) x = –2, –4
Answer:
Option A: [tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]
Step-by-step explanation:
[tex]f(x)=x^3+6x^2+8x[/tex]
[tex]0=x^3+6x^2+8x[/tex]
[tex]0=x(x^2+6x+8)[/tex]
[tex]0=x(x+2)(x+4)[/tex]
[tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]
[tex]x^3+6x^2+8x = 0\\\\\implies x^3+2x^2 +4x^2+8x =0\\\\\implies x^2(x+2) +4x (x+2) =0\\\\\implies (x+2)(x^2 +4x) = 0\\\\\implies x (x+2) (x+4)=0\\\\\text{Hence,} \\\\x = 0 ,-2,-4[/tex]
Answer number 7: Only number 7 please.
Answer:
C -7, 3
Step-by-step explanation:
Answer:
A (7, 3).
Step-by-step explanation:
( -7, -3) reflected over the x axis goes to the point (-7, 3)
(-7, 3) reflected across the y axis goes to (7, 3).
A line with a slope of 1/10 passes through the point (10, 1) What is its equation in slope-intercept form?
Hello there! :)
We are given the slope of the line: 1/10.We are also given the point that the line passes through.So, with the given information, we can use Point-Slope form:y-y1=m(x-x1)y-1=1/10(x-10)y-1=1/10x-1y=1/10xTherefore, that's the equation.Hope it helps. Use the comment section to clarify any doubts.
Answered by
~A teen who adores helping others
#LetItSnow
Good luck.
the equation of line which passes through point (10, 1) and having slope 1/10 is y = x/10 + 0.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
Here, it is given that line passes though point (10,1) and having slope of 1/10.
Now, Let us find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-1) = 1/10(x-10)
y - 1 = x/10 - 1
y = x/10 + 0
Therefore, the equation of line which passes through point (10, 1) and having slope 1/10 is y = x/10 + 0.
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Can someone please help me with this?
Answer:.35,38% 3/5
Step-by-step explanation:Hope this helped
Answer: 0.35, 38% , 3/5
Step-by-step explanation:
3/5= 0.6= 0.60
38%= 0.38
0.35
6. Find the zeros of f(x):
f(x) = 2x + 6
Answer:
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Set equation equal to zero
0 = 2x + 6
-6 = 2x
x = -6/2
x = -3
anybody help please hm
Answer:
1
Step-by-step explanation:
if you use a calculator, it will come up as 1. I don't know why, but it does.
Hope this helps!
At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.
Capacity of tank be x
At end of journey the tank was half filled.
Hence x/2 filledNow used percentage is 30%
[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]
Now
added gasoline=8gallonExpression:-
[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]
The price of 50 litres of petrol is £36, find the price of each litre of petrol.
What is 2/5 divided by 2/3
Answer:
0.6
Step-by-step explanation:
Trust me
PLZ mark as brainliest
Determine the intercepts of the line.
[tex]y = -3x +12\\\\\text{Plug x = 0 to find y - intercept,}\\\\y = -3(0) +12 = 12\\\\\text{So, y-intercept is (0,12).}\\\\\text{Plug y=0 to find x - intercept,}\\\\0 = -3x +12\\\\\implies -3x = -12\\\\\implies 3x = 12\\\\\implies x = \dfrac{12}{3} = 4 \\\\\\\text{So, x - intercept is (4,0).}[/tex]
(x+3³):(x+3)
Ehjensnsn
Answer:
x + 27
——————
x + 3
Step-by-step explanation:
Give the number and type of solutions of the equation.
Answer:
B. 2 non-real solutionsStep-by-step explanation:
Compare the left and right side of the given equation in terms of the lines they represent:
x² is a parabola with non-negative value- 3x - 7 is a line with negative slope and negative y-interceptTheir intersection seems not possible. Lets graph and confirm.
See attached below.
It means there are no real solutions. Correct answer choice is B
A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?
Answer:
1050miles.
Step-by-step explanation:
since every 2 inches=350 miles, then 6 inches= 3(350miles)
since 6/2=3.
or you can think of it this way:
there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.
350+350+350=1050miles.
Two numbers are in a ratio 11:7. If the smaller number is 700, what is the larger number? Pls tell with steps
Answer:
The larger number is [tex]1100[/tex]
Step-by-step explanation:
Let larger number be [tex]x[/tex]
We have
[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]
Answer:
The larger number is 1100.
Step-by-step explanation:
Solution :
Let the,
>> Larger number be 11x. >> Smaller number be 7x.Now, According to the question :
[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]
Hence, the value of x is 100.
Now, calculating the larger number :
[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]
[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]
Hence, the larger number is 1100
[tex]\rule{300}{1.5}[/tex]
Answer this QUICK!!! 60 POINTS!!!!
Answer:
Step-by-step explanation:
top right
Answer:
Its C (upper right)
Step-by-step explanation:
Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?
Answer:
Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?
Step-by-step explanation:
Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.
Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.
Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.
Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?
If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.
One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.Figure 9.3.1 - To determine the total value of a stack of nickels, multiply the number of nickels times the value of one nickel.For coins of the same type, the total value can be found as follows:
number⋅value=totalvalue(9.3.1)
where number is the number of coins, value is the value of each coin, and total value is the total value of all the coins.
You could continue this process for each type of coin, and then you would know the total value of each type of coin. To get the total value of all the coins, add the total value of each type of coin.
Let's look at a specific case. Suppose there are 14 quarters, 17 dimes, 21 nickels, and 39 pennies. We'll make a table to organize the information – the type of coin, the number of each, and the value.
Table 9.3.1
Type Number Value ($) Total Value ($)
Quarters 14 0.25 3.50
Dimes 17 0.10 1.70
Nickels 21 0.05 1.05
Pennies 39 0.01 0.39
6.64
How would you determine the value of each pile? Think about the dime pile—how much is it worth? If you count the number of dimes, you'll know how many you have—the number of dimes.
But this does not tell you the value of all the dimes. Say you counted 17 dimes, how much are they worth? Each dime is worth $0.10 —that is the value of one dime. To find the total value of the pile of 17 dimes, multiply 17 by $0.10 to get $1.70. This is the total value of all 17 dimes.
An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .
all you need to do is 4000÷25=160
The linear equation in slope-intercept form is: y = 25x + 4000.
The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:
y = mx + b
m represents the slope of the line, which represents the cost per service call.
Since each service call costs the company $25, the slope (m) is 25.
b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.
Therefore, the linear equation in slope-intercept form is: y = 25x + 4000
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Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
?
Complete the following equation for a line passing through point C and perpendicular AB.?
Answer:
5y - 6x = 8 or y = 6x/5 + 8/5
Step-by-step explanation:
let M1= gradient of line AB and M2= gradient of the second line
When two lines are perpendicular, the product of their gradients is -1
i.e, M1M2= -1
M2= -1/M1
A(2,9) and B(8,4)
gradient= (y2-y1)/(x2-x1)
M1= (4-9)/(8-2)
= -5/6
M2= -1÷ -5/6
-1 × -6/5= 6/5
Equation of the line passing through C(-3,-2)
[y-(-2)]/[x-(-3)= 6/5
(y+2)/(x+3)= 6/5
5(y+2)= 6(x+3)
5y+10=6x+18
5y= 6x + 8
y= 6x/5 + 8/5
As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is: y = mx + c
Here, m = slope of the line , c = y-intercept
What is the relation between the slope of a line perpendicular to another line?If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).
The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.
Therefore, the slope of the line AB is (m)
= (y₂ - y₁)/(x₂ - x₁)
= (4 - 9)/(8 - 2)
= (- 5)/6
Slope of the required line is perpendicular to AB.
Therefore, the slope of the required line is
= - 1/(- 5/6)
= 6/5
This line passes through point C(- 3, - 2).
- 2 = - 3(6/5) + c
⇒ c = -2 + 18/5
⇒ c = 8/5
The equation of the required line is
y = (6/5) x + (8/5)
⇒ 5y = 6x + 8
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Solve for C if F = 77º. 5 C = (F-32) -
Answer:
C = 25
Step-by-step explanation:
C = 5/9(77-32)
C = 5/9(45)
C = 25
A piecewise function is represented by the graph below.
On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?
x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1
A piecewise function is used that combines several functions at different intervals.
The domain of the function represented by f(x) = x + 1 is x > 1
The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)
The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1
So, the domain of f(x) = x + 1 is x > 1
Read more about piecewise functions at:
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Answer:
D
Step-by-step explanation:
Correct on Edge
what is the solution to the equation 4(x - 3) - 8 = 16?
Step-by-step explanation:
4(x-3)-8=16
4x-12-8=16
4x-20=16
4x-20+20=16+20
add
4x=36
divide both
4x/4 36/4
Simplify
x = 9
HELP ME PLEASE I NEED HELPP
Answer:
4500 inches, check image below
Step-by-step explanation: