Solve the quadratic equation by completing the square.
x²+18x+79=0

Answer:

7 17/99

Step-by-step explanation:

The 5 ordered pairs whose second component is the opposite of the first component are (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).

Ordered pairs:

An ordered pairs is a composition of the x coordinate and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

It can be written as (a,b).

Here

a represents the x coordinate and

b represents the y coordinate.

It helps to locate a point on the Cartesian plane for better visual comprehension.

Given:

The second component is the opposite of the first component.

Here we need to find the 5 ordered pairs for that.

For the given statement,

Let x be the first component and y be the second component.

So it can be written as,

=> y = -x

So, the five ordered pairs are,

=> 1 = -1

=>2 = -2

=> 3 = -3

=> 4 = -4

=> 5 = -5

So, the ordered pairs are,

(x,y) => (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).

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your question is wrong to make sure

Answer:

A person will pay $2.31 for a 1.7 pound of banana.

Step-by-step explanation:

1.7 pounds of bananas x $1.36 per pound = $2.31

The area of the circular plate is 9234 inches²

The plate is circular and have a circumference of 34.54 inches.

Hence, let's find the radius of the circular plate using the circumference of the circular plate.

circumference of the circular plate = 2πr

where

Therefore,

34.54 = 2π × r

r = 34.54  / 2π

r = 17.27π

Therefore,

area of the circular plate = πr²

area of the circular plate = π × ( 17.27π)²

area of the circular plate = π³ × 298.2529

area of the circular plate = 3.14³ × 298.2529

area of the circular plate = 9233.65447952

area of the circular plate = 9234 inches²

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The numeric value of the b is 0.23 which satisfy the given equation.

According to the statement

We have to find that the value of the b.

So, For this purpose, we know that the

The numeric value refers to the worth of each digit depending on where it lies in the number.

From the given information:

The equation is a

3(2b + 3)² = 36

then to find the value of b rearrange the terms then

(2b + 3)² = 12

(2b + 3) =  \sqrt{12}

(2b) =   \sqrt{12}  -3

then

b  = \sqrt{12}  -3/ 2

b = 3.46 - 3/2

b = 0.46/2

b = 0.23.

So, The numeric value of the b is 0.23 which satisfy the given equation.

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Answer:

24

Step-by-step explanation:

18/3 = 6

6*4 = 24

hi

18 = 6*3

so  18* 4/3 =  6*3*4 /3 =   24

Answer:

For A.) there are only 2 so 2/8 would become0.25

B.) 4 even number 4/8= 1/2 = 0.50

C.) 1 Red  1/8= 0.125

D.) 5 Not blue 5/8 = 0.625

E.)3 Blues 3/8= 0.375

F.) 0 because there are no 9 so it's not possible

Step-by-step explanation:

Answer: The graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.

Step-by-step explanation: I took the quiz and got it right

The function f(x) = x² is transformed and became g(x) = 3(x+2)² -1 has the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 unit.

By applying suitable graph transformation we can shift, stretch, shrink, a given graph along x and y axis.

According to the given question given a graph f(x) = x² and g(x) is                        3(x+3)² - 3.

Let us break transformations of g(x) one by one.

g(x) = 3f(x) which implies it's amplitude or vertical stretch is increased by a factor of 3.

Now, g(x) = 3(x+3)² implies the graph is shifted towards left by 3 units as x + 3 = 0 is x = -3.

Now, g(x) = 3(x+3)² - 3 implies that the whole graph has been shifted 3 units down along the y axis.

Hence the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.

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Answer: 116 61/100 miles

Step-by-step explanation: Road trip is 245 7/50 miles long

They have already driven 128 53/100

Those are mixed fraction. To facilitate the calculation, we should transform them into improper fractions (numerator > denominator)

245 7/50 = (50*245+7)/50 = 12257/50

128 53/100 = 12853/100

To find out much farther they have to drive, we need to subtract how much they have already driven to the total lenght of the trip:

12257 - 12853 = 24514 - 12853 = 11661

50         100             100                100

They still have 11661/100 to drive. In mixed fraction:

116 61/100 miles

Answer: 6.8*10⁻⁴=0.00068

Step-by-step explanation:

[tex]6.8*10^{-4}=0.00068[/tex]

Answer:

9

Step-by-step explanation:

Answer:

There are many exponents that will give you 8.

I will list a few for you. :)

→ 2³

→ 8¹

→ [tex]\sf 4^{1.5}[/tex]

Hope this helps.

The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

For a quadratic equation:

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4ac

If D > 0, we have two real solutions.

If D = 0 we have one real solution (it is thought as two equal solutions)

if D < 0, we have two complex solutions.

In this case, the quadratic equation is:

3x^2 + 5x - 8 = 0

Then:

a = 3

b = 5

c = -8

The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

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Answer:

1.25

Step-by-step explanation:

The multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.

The correct answer is an option (b)

NMR spectroscopy is used to examine the structure of molecules.

Another type of additional data available from 1H NMR spectroscopy is called multiplicity.

It is useful because it reveals how many hydrogens are on the next carbon in the structure.

1H NMR is a technique to confirm the structure of organic compounds or those that contain protons.

In 1H NMR technique, multiplicity provides information about the number of proton neighbors for a particular proton atom or group of atoms (neighboring typically refers to  atoms within 3 bonds).

A solution-state proton spectrum is relatively fast to acquire, compared with other nuclei, and a lot of information about the structure of a compound can be deduced from it.

Therefore, the multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.

The correct answer is an option (b)

Answer:

Pretty sure it’s x>12

Step-by-step explanation:

Answer x > 12

thats the whole thing

Answer:

z = -95

explanation:

The expression for g(x) is 9x + 26

A function can be defined as an expression, law or rule explaining the relationship between an independent and dependent variable.

Given the function;

g(x) = f(x + 4) - 10  

Where f = 9

Substitute into the function;

g(x) = 9( x + 4) -10

expand the bracket

g(x) = 9x + 36 - 10

collect like terms

g(x) = 9x + 26

Thus, the expression for g(x) is 9x + 26

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Answer:

1. 15          2. 30

Step-by-step explanation:

1. (2/5)x = 20

20/(2/5) = x

x = 50

50 × (3/10) = 15

2.  (2/3)y = 24

24/(2/3) = y

y = 36

36 × (5/6) = 30

Answer:51 degrees

Step-by-step explanation:

At noon the temperature is 75 degrees

the temperature drops 3 degrees every half hour.

First solve for time elapsed between noon and 4, which is 4 hours.

Next, we can change our rate to be in terms of full hours instead of half hours using the fact that 1 hr = 2 half hours, so the temperature drops 6 degrees every hour.

Four hours have elapsed so multiply 6*4 = 24 degrees and then subtract it from the starting 75

75 - 24 = 51.

Answer:

14 cents

Step-by-step explanation:

because 4.48 divided by 4 = 1.12 BUT since there are 8 ounces in a cup 1.12 divided by 8 = 0.14

Answer:

A, commutative

Step-by-step explanation:

Commutative property of Multiplication is when you can switch around the numbers when multiplying.

The equation of the tangent line to the curve are  [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

[tex]y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }[/tex]

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

[tex]m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1[/tex]

We can now find the equation, because we know the slope and a point (1, 0).

[tex]y-y_{1} =m(x-x_{1} )\\[/tex]

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

[tex]y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}[/tex]

Therefore, the equation of the tangent line to the curve are  [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].

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Answer:

5 m/s²

Step-by-step explanation:

To find the acceleration we apply Newton's second law of motion

F = ma   where F is the net force in Newtons, m the mass of the object (kg) and a the acceleration in  meters/second² (m/s²)

Given

F = 200 N

m = 40 kg

we have 200 = 40a

So a = 200/40=5 m/s²

Answer:

3 hours

Step-by-step explanation:

you take the amount that was earned and divide it by the amount he works.

[tex]\frac{146.00}{10} = 14.6 per hour.[/tex]

then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.

[tex]\frac{43.80}{14.6} = 3 hours[/tex]