The graph below shows where the two functions y = f(x) and y = g(x) intersect. What are the solutions of the equation f(x) = g(x)? ТУ 8 6 2 XA -2 O 2 O A. - 2 1 O B. 2,0 O C. 4, 1 O D. -2,0, 1,4

Answer:

the 4th statement

Step-by-step explanation:

The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.

In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:

(x - a)(x - b) = x² - 13x + 30

So, (x - 3)(x - 10) = x² - 13x + 30.

Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

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Explanation:

We can find any of these two rates: ounces per dollar or dollars per ounce

• Ounces per dollar:

• Dollars per ounce

Answer:

From these options, the correct one is D. $0.28 per ounce

Answer:

y  = 3, x = 3

Step-by-step explanation:

5x – 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

3x + 4y= 21

3x = 21 - 4y

x = (21-4y)/3

Using simultaneous equations:

(21-4y)/3 = (6 + 3y)/5

--> 105-20y = 18 + 9y

29y = 87

The size of sample the political candidate will need is 666 by the concept of sample size.

Any empirical study whose objective is to draw conclusions about a population from a sample must take the sample size into consideration. In reality, a study's sample size is chosen depending on the cost of data collection and the requirement for enough statistical power.

According to the question,

a = 1-99%

a = 1-99/100

a = 1-0.99

a = 0.01

5% = z (0.05) = 2.58when we examine the regular standard table

Therefore, the value of n is as follows:

n = (z/E) ²*p*1-p

Z = 2.58

E = 0.05

P = 0.5

1-p = 0.5

(2.58/0.05) ²x0.5x0.5

n= 51.6²x0.5x0.5

n= 665.64

Hence, the size of sample the political candidate will need is 666.

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Answer:

10 calories per minute

Step-by-step explanation:

We do not have much information to go on such as the speed that Tai is biking or his/her weight. Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results. Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute. Therefore we can assume that Tai is burning roughly 10 calories per minute. This rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.

10. im adding this last part because it needs 20 letters k bye

the answer is 8

Step-by-step explanation:

just minus 11by 3

The rational numbers are given as follows:

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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Answer:

93

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

52 + 35 + x = 180

87 + x = 180

x = 93 degrees

Answer: -5/6

Step-by-step explanation:

Hopefully this helps, my friend, best of luck to you :)

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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Answer:

square or rectangle

Step-by-step explanation:

Given

Unpaid balance for the month of may = $1,000

Average daily balance = $1,200

Annual interest = 16.8%

=> Monthly Interest = 16.8/12 = 1.4%

Find

Total balance on the next billing date June 1

Explanation

Finance charge = (Monthly Interest rate) x (Average day balance)

= 1.4% x 1200 = $ 16.8

So total Balance on next billing date

= (unpaid balance + Finance charge) x (number of days)

= (1000 + 16.8) x (31)

= (1016.8) x (31)

= $31520.8

Final Answer

$31520.8 is the total balance on next billing date June 1

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer:

250

Step-by-step explanation:

Answer:

y = x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

- 4x + 4y = 16 ( add 4x to both sides )

4y = 4x + 16 ( divide all terms by 4 )

y = x + 4 ← in slope- intercept form

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

Answer:

50%

Step-by-step explanation:

half of the numbers on dice are even

Answer:

29+3374=32483 that is the solution for the question

Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

The Cost value of the car after 9 months is $55797.

According to the statement

We have to find that the value of the car after 9 months.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

If you buy a car for $65,076 and it depreciates linearly at a rate of 19% per year, what will be its value after 9 months

Then

The depreciates linearly at a rate of 19% per year

It means the 19% of the value of the car is a :

Value of the rate of the depreciates = 19/100*65,076

Value of the rate of the depreciates = 0.19*65,076

Value of the rate of the depreciates = 12364.44

Value of the rate of the depreciates = 12365

It is he value decreased in a 12 months

Then

The value decreased in one month = 12365 /12

The value decreased in one month = 1030.41

The value decreased in one month = 1031.

Then

The value decreased in 9 months = 1031*9

The value decreased in 9 months = 9279

Then

The remaining value of the car = 65,076 - 9279

The remaining value of the car = 55797

So, The Cost value of the car after 9 months is $55797.

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The solution is,  the original number in the work force is 190.76.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

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The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

The probability that a randomly selected woman has red/green color blindness is 0.9914

Step-by-step explanation:

Given that the proportion of women having red/green color blindness is 0.86%

Represent that with p

\(p= 0.86\%\)

Convert proportion from percentage to decimal;

\(p= \frac{0.86}{100}\)

\(p= 0.0086\)

In probability; opposite probabilities add up to 1;

Let the probability that a woman selected have red/green color blindness be represented with q;

\(p + q = 1\)

Subtract p from both sides

\(p - p + q = 1 - p\)

\(q = 1 - p\)

Substitute 0.0086 for p

\(q = 1 - 0.0086\)

\(q = 0.9914\)

Hence, the probability that a randomly selected woman has red/green color blindness is 0.9914

Answer:

Chart A is represented by the graph.

Step-by-step explanation:

The first input - output ratio of 5 cars to 25 dollars represented in the graph rules out charts B and D.

Chart C is ruled out by the 30 input, $175 is not even represented by the y-axis of the graph.

This means that the only chart left is chart A.

Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!