y^2 - 19 = 0 find the sum and product

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:

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

Answer:

Your answer is p=3.99;$51.87

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!

Answer:

C = 25

Step-by-step explanation:

C = 5/9(77-32)

C = 5/9(45)

C = 25

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

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.

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).

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

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

Learn more about Linear Equation here:

https://brainly.com/question/32634451

#SPJ2

[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]

Answer:

x + 27

 ——————

 x + 3

Step-by-step explanation:

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

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,

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:

4500 inches, check image below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Compare the left and right side of the given equation in terms of the lines they represent:

Their intersection seems not possible. Lets graph and confirm.

See attached below.

It means there are no real solutions. Correct answer choice is B

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.

Answer:

Step-by-step explanation:

top right

Answer:

Its C (upper right)

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

The least common multiple of 7 and 9 is 63

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.

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)

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:

https://brainly.com/question/17966003

Answer:

D

Step-by-step explanation:

Correct on Edge

Hello there! :)

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.

check and know more about line here :

brainly.com/question/14914699

#SPJ2

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.

The slope-intercept form of a straight line is: y = mx + c

Here, m = slope of the line , c = y-intercept

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

Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597

#SPJ3

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:

Step-by-step explanation:

no, it is an acute isosceles triangle

(5√2 = 7.01)

[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.

Answer:

0.6

Step-by-step explanation:

Trust me

PLZ mark as brainliest

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)

Capacity of tank be x

At end of journey the tank was half filled.

Now used percentage is 30%

[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]

Now

Expression:-

[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]