I Use the quadratic equation to complete the following sentence
2 - 4x + 10 = 0
The quadratic equation has
Select One

Answer:

A, D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A:  0.04 is the only choice representing 4%.

Answer:

18 inches

Step-by-step explanation:

8+4=12

12+6=18

18 inches

Someone deleted my answer so I posted it again.

Hope this helps!

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer:

The answer is 4!

Answer:

  The constant factor remains a multiplier.

Step-by-step explanation:

The derivative of "a·f(x)" is a·f'(x). That is, the constant multiplier remains a constant multiplier, unchanged.

For ax^-1, the derivative is a(-x^-2) per the power rule. For your value of a=-5/2, this is ...

  \(\dfrac{d}{dx}\left(-\dfrac{5}{2x}\right)=\left(-\dfrac{5}{2}\right)\left(\dfrac{-1}{x^2}\right)=\dfrac{5}{2x^2}\)

8x + 1 = 7

y - x = 1

y = 1 + x

sub 1 + x in eqtn i

8x + 1 = 7 { 1 + x }

8x + 1 = 7 + 7x

8x - 7 = 7 - 1

x = 6

y - 6 = 1

y = 1 + 6

y = 7

So,

8x = 8 x 6 = 48

7y = 7 x 7 = 49

My present years is 48

Next year i will be 49

Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24

Therefore my present age is 48 and next year will be 49

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Answer:

- 3/x-1

Step-by-step explanation:

Answer:

\(-\frac{3}{x-1}\)

Step-by-step explanation:

Factor the denominator and then combine fractions:

\(\frac{3}{(x-1)(x-2)} -\frac{3}{x-2}\)

Find LCM (Least Common Multiple) of denominators:

LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)

Adjust fractions based on LCM:

\(\frac{3}{(x-1)(x-2)} -\frac{3(x-1)}{(x-2)(x-1)}\)

Denominators are now equal so you can subtract the fractions:

\(\frac{3-3(x-1)}{(x-1)(x-2)}\)

Factor the numerator:

\(\frac{3(-x+2)}{(x-1)(x-2)}\)

Cancel:

\(-\frac{3}{x-1}\)

Part 1

Angles of a quadrilateral add to 360 degrees.

\(7x+65+85+105=360\\\\7x+255=360\\\\7x=105\\\\x=15\)

Part 2

If \(x=15\), then \(7x=105^{\circ}\). Thus, the angles measuring \(7x\) and \(105^{\circ}\) are opposite angles since opposite angles of a kite are congruent.

This means the remaining angles, which are the angles measuring \(65^{\circ}\) and \(85^{\circ}\), are also opposite using the process of elimination.

Answer:

A

Step-by-step explanation:

Find cross-sectional area first:

Area of triangle = 6x4/2

Multiply the cross-sectional area by height which in this case is 9ft so

(6x4/2) x 9

The discontinuity of our given function is at point (-6, -7).

The zero of our given function is, (1, 0).

What is discontinuity and zero of the function?

A discontinuous function is a graph function that is not connected to any other functions. If the left-hand limit of f(x) and the right-hand limit of f(x) both exist but are not equal, then the function f(x) is said to have a discontinuity of the first kind at x = a.

The x-intercept(s) of the function's graph represent the real zero of the function.

Consider the given function,

\(f(x) = \frac{x^2+5x-6}{x+6}\)

We know that a function is discontinuous, when its denominator is equal to zero.

To find the discontinuity for our given function, we will equate denominator to 0 as:

x + 6 = 0

    x = -6

Now simplify the given function.

\(f(x) = \frac{x^2+5x - 6}{x+6}\\ f(x) = \frac{x^2 +6x - x - 6}{x+6}\\ f(x) = \frac{x(x+6)-1(x+6)}{x+6}\\ f(x) = \frac{(x-1)(x+6)}{x+6} \\f(x) = x-1\)

Take  y = x - 1

Since the denominator term is cancelled out, so our give function has a removable discontinuity.

Now, we will find value of y by substituting  x = -6

⇒ y = -6 - 1

   y = -7

Therefore, the discontinuity of our given function is at point (-6, -7).

Now, we will find zero of our given function by substituting  f(x) = 0,as zero of the function is the point, where graph intersects x-axis and value of y is 0 at x-axis:

⇒  0 = x - 1

x - 1 = 0

    x = 1

Therefore, the zero of our given function is, (1, 0).

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Answer:

This usual depicts units in centi-metre

Usually Centi-(and the unit you have)

Step-by-step explanation:

Because it is 1 in 100

100 is what centi means, so centi-metre

Like centipede, an insect with 100 legs

1:100 means 1 in 100

or one centi-metre

Hope this helps!

Answer:

they would be $42.00

Step-by-step explanation:

50 + 2.50= 52.50

52.50-10.50=42.00

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

Answer:

$63.14

Explanation:

I got it right on the test

Answer:

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

Answer:

ttbh

Step-by-step explanation:

Answer:

40 1/2 ft

Step-by-step explanation:

48 in = 4 ft

9 3/4 x  2  +  12 1/2  x  2  -  4  

19 1/2 + 25 - 4

19 1/2 +21

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

We know that 64 ounces equal 4 pounds because 64 divided by 16 (the number of ounces in a pound) is 4. We can check our work by doing 4 x 16 (the number of ounces in a pound) and we get 64 ounces.

Answer:

can we get a picture

Step-by-step explanation:

Answer:

\(-\frac{7}{6}\)

Step-by-step explanation:

I hope this helps!

Answer:

-7/6

Step-by-step explanation:

-1/3=-2/6

-2/6-5/6=-7/6

This can be solved by finding the probability and using the Bayes' theorem. However, there is a 34.7% chance that Sarina will go to the store on Saturday, and a 65.3% chance that she will not. If it rains on Saturday, there is a 10.3% chance that Sarina will go to the store, and if she doesn't go to the store, there is a 20.3% chance that it did not rain that day.

a. Tree Diagram

A tree diagram is a visual representation of the different possible outcomes of a sequence of events. Each branch represents an event, and the probability of that event is written above the branch. The branches that lead to the same final outcome are grouped together. For this scenario, we can start with the event of whether it rains or not, then branch out to whether Sarina goes to the store or not based on each possibility.

b. To find P(S), we need to use the law of total probability:

P(S) = P(R) * P(S | R) + P(R') * P(S | R')

    = 0.3 * 0.12 + 0.7 * 0.53

    = 0.347

So there is a 34.7% chance that Sarina will go to the store on Saturday.

c. P(S') is simply the complement of P(S):

P(S') = 1 - P(S)

    = 1 - 0.347

    = 0.653

So there is a 65.3% chance that Sarina will not go to the store on Saturday.

d. To find P(S | R), we can use Bayes' theorem:

P(S | R) = P(R | S) * P(S) / P(R)

        = P(R and S) / P(R)

        = 0.3 * 0.12 / 0.347

        = 0.103

So if it rains, there is a 10.3% chance that Sarina will go to the store on Saturday.

e. To find P(R' | S'), we can again use Bayes' theorem:

P(R' | S') = P(S' | R') * P(R') / P(S')

         = (1 - P(S | R')) * 0.7 / 0.653

         = (1 - 0.53) * 0.7 / 0.653

         = 0.203

So if Sarina does not go to the store on Saturday, there is a 20.3% chance that it did not rain that day.

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The 6.307e+8 can be written as 630700000 in numbers.

The scientific notation is a concise way of representing large and small numbers. Scientific notation involves writing a number as the product of a decimal number and an exponential power of ten. A number is considered in scientific notation if it has a single digit to the left of the decimal point and exponent of 10 on the right side of it. A positive exponent implies that the decimal point is shifted to the right, while a negative exponent implies the decimal point is shifted to the left.

This notation makes it easy to comprehend and operate with numbers that are either too big or too small. The expression 6.307e+8 is the scientific notation form of a number. The numerical equivalent of the number 6.307e+8 is 630700000. The number 6.307e+8 is obtained by raising ten to the power of eight.

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Answer:

length =12 cm         and breadth= 10 cm

Step-by-step explanation:

we know that perimeter of a rectangle is 2*(l+b) and area of a rectangle is l*b.

2*(l+b)= 44 cm       and         l*b=120 sq.cm

2l+2b= 44cm                             l*b=120sq.cm

lets take out all the factors of 120 as this may help in finding l and b.

1,2,3,4,5,6,8,10, 12,15,20,24,30,40,60,120.

here, the most likely answer that verifies that l and b can be found is using the perimeter.

so, out of all these factors, 10 and 12 gives the right answer to 2*l+b

2* 10+12=2*22=44 cm and it also satisfies l*b as 10*12 is 120...

Answer:

Step-by-step explanation:

Perimeter of rectangle = 44 cm

2*(length +width) = 44

l = length

w = width

2*( l +w) =44

Divide both sides by two

l +w = 44/2

l +w = 22

   l = 22 - w  ----------------------(I)

Area of rectangle= 120 square cm

l * w = 120

(22 - w) *w = 120   {from(I)}

22w - w² = 120

0 = 120 - 22w +w²

w² - 22w + 120 = 0

Sum = - 22

Product = 120

Factors = -12 , -10

w² - 22w + 120 = 0

w² - 12w - 10w + (-12)*(-10) = 0

w(w - 12) -10 (w -12) = 0

(w - 12)(w - 10) = 0

w -12 = 0     ;w - 10 = 0

w = 12      ; w = 10

Dimension of rectangle are: 12 , 10

Answer:

R330

Step-by-step explanation:

2 + 3 = 5

5x = 825

2x = 825 x 2/5

825 x 2 = 1650

1650/5 = 330

Mandy makes R330.

Mandy's share from the profit is R495

Data;

This is the portion shared between two or more entities in a definite proportion.

To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.

\(2 + 3 = 5\\\frac{3}{5} * 825 = 495\)

Mandy's share from the profit is R495

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The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

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