What lines would you use to solve-3x - 2 = 2x + 8?Graph the lineequation.Graph the lineequation.DONEIntrofor the left side of thefor the right side of the.-10A-6Bx1026102C6D10

Answer: it is c

Step-by-step explanation:

Answer:

    The correct option is  a

Step-by-step explanation:

Gnerally assuming that

  The null hypothesis is  that the syringes from a supplier does not meet the requirement

and  

  The  alternative hypothesis is that the syringes from a supplier  meets the requirement

Now in order not to commit type I error which is wrongfully rejecting the null hypothesis then the level of significance need to be  lower than the p-value (this is obtained from the z-table  for any given z-score ) hence the suitable level of significance to achieve the hospitals aim is alpha-0.01

Answer:

k = 6 and k = -4

Step-by-step explanation:

To determine two integral values of k (integer values of k) for which the roots of the quadratic equation kx² - 5x - 1 = 0 will be rational, we can use the Rational Root Theorem.

The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -1) and q must be a factor of the leading coefficient (in this case, k).

Possible p-values:

Possible q-values:

Therefore, all the possible values of p/q are:

\(\sf \dfrac{p}{q}=\dfrac{\pm 1}{\pm 1}, \dfrac{\pm 1}{\pm k}=\pm 1, \pm \dfrac{1}{k}\)

To find the integral values of k, we need to check the possible combinations of factors. Substitute each possible rational root into the function:

\(\begin{aligned} x=1 \implies k(1)^2-5(1)-1 &= 0 \\k-6 &= 0 \\k&=6\end{aligned}\)

\(\begin{aligned} x=-1 \implies k(-1)^2-5(-1)-1 &= 0 \\k+4 &= 0 \\k&=-4\end{aligned}\)

\(\begin{aligned} x=\dfrac{1}{k} \implies k\left(\dfrac{1}{k} \right)^2-5\left(\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}-\dfrac{5}{k}-1 &= 0 \\-\dfrac{4}{k}&=1\\k&=-4\end{aligned}\)

\(\begin{aligned} x=-\dfrac{1}{k} \implies k\left(-\dfrac{1}{k} \right)^2-5\left(-\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}+\dfrac{5}{k}-1 &= 0 \\\dfrac{6}{k}&=1\\k&=6\end{aligned}\)

Therefore, the two integral values of k for which the roots of the equation kx² - 5x - 1 = 0 will be rational are k = 6 and k = -4.

Note:

If k = 6, the roots are 1 and -1/6.

If k = -4, the roots are -1 and -1/4.

Consider a triangle ΔABC, where sides AB, BC and angle ∡C are given.

Angle ∡C is the angle opposite of side AB.

It says that the given side opposite the given angle is less than the other given side. It means AB < BC.

It says that the ratio of the longer side to the shorter side, multiplied by the sine of the angle opposite the shorter side, is less than 1. It means

\(\frac{BC}{AB}\) · sin(C) < 1

We know about Law of Sines of Triangle is given by :-

\(\frac{AB}{sin(C)} =\frac{BC}{sin(A)} =\frac{AC}{sin(B)}\)

\(< br/ > Solving\)   \(\frac{AB}{sin(C)} =\frac{BC}{sin(A)}\)

\(< br/ > Cross\)   \(Multiplying\)

\(< br/ > AB\) \(sin(A)=BC\) \(sin(C)\)

\(< br/ > sin(A)=\frac{BC}{AB}\)  \(sin(C)\)

\(< br/ > sin(A) < 1\)                        \\

We got sin(A) < 1, and BC > AB.

Therefore, angle ∡A could be either acute or obtuse angle.

So, There will be two solutions for the angle ∡A.

⇒ option D is the final answer.

The pair of fractions 1/4 and 1/3 when evaluated is; 7/12.

From the task content;

On this note, it follows that the common factor between the two fractions is used in evaluation.

This therefore follows that the pair of fractions is; 7/12.

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Answer:

1.894

3.169

2.064

3.690

Step-by-step explanation: 90% ; sample size = 8

Degree of freedom, df = n - 1

t(1 - α/2, 7) = t0.05, 7 = 1.894

Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

box B

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Answer:

the correct answer would be 33

Step-by-step explanation:

hope this helps :)

Answer: f(x) = -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

f(x) =  2(-8) + 3

= -16 +3

= -13

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).

The length of the  rectangle is:

l = 3.5 - (-3.5)

l = 3.5 + 3.5

l = 7

The width of the rectangle is:

w = 3-(-3)

w = 3 + 3

w = 6

The perimeter of the rectangle is given by:

P = 2 (l +w)

P = 2(7 + 6)

P = 26

The area of the rectangle is:
A = l × w

A = 7 × 6

A = 42

Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

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Answer:

Answer is -6

Step-by-step explanation:

first do from small bracket -(-6)=+6

and then -6-6=-12

do-12+6=-6

Answer:

As a former runner upper Senior Class Secretary I can say that your classmates need the following:

1. To be respected, even when others may not respect them.

2. They need a leader who can listen to what they have to say and DO SOMETHING about it.

3. They need the feeling of commitment when given the oppurtunity to improve.

4. They need rules, guidlines and restrictions.

(I would advocate that we have a strong leader....Is it going to be you?)

Answer:

-2.4+3.2t

Step-by-step explanation:

\(-3.6-1.9t+1.2+5.1t\\\\=(-3.6+1.2)+(-1.9+5.1)t\\\\=-2.4+3.2t\)

Answer:

-2.4+3.2t

Step-by-step explanation:

Khan

Answer:

B) Δ+5

Step-by-step explanation:

Means that Austin has $5 more than Mark

Hope this helps

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

The difference quotient can be found by the formula:

Where h is not 0, because it would be a division by 0.

In this case, we have the function:

Then using the forumla:

The next step is to solve the binomial squared, and do a distributive property.

We can solve the squared binomial using:

Then:

Here we can see that there are several terms equal but with different sign. We can cancel out the terms x², 7x and 1

Now we can factor out the h in the numerator:

Which cancels out with the denominator, and we get:

And that's the result of the problem.

The expression of 602.16 dam in decimeters can be written as 60216 decimeter.

The concept that will be used in the calculation is conversion. to perform this conversion, it is important to note that 1 Decimeter (dm) is equal to 0.01 dekameter (dam).

Then, if 1dm = 0.01 dam

               Xdm     = 602.16 dam

Where x is the value in decimeter.

Then we can cross multiply as :

X= (602.16 dam * 1dm)/ 0.01 dam

= 60216 decimeter.

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Answer:

the answer is:

(12) + (18) = 30

1. A) Y=3x+7

2. B) y=5 x

The probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The area of the rectangle = 30×21 = 630 square m

The total outcomes = 630 square m

The favorable outcomes = area of the circle + area of the trapezoid

= π(5)² + [(11+15)/2]×5

= 78.53 + 65

= 143.53 square m

Probability(a point chosen randomly inside the rectangle is either in the circle or in the trapezoid):

= 143.53/630

= 0.227 ≈ 0.23

Thus, the probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.

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Answer:

0.13

Step-by-step explanation:

I guessed and got it correct. Sorry, I cant show work, I hope it helped!! <3

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

Total ways to run movies = 1,440

Step-by-step explanation:

Given:

Number of total movies = 8

Number of science fiction movie = 2

Number of horror fiction movie = 6

Find:

Total ways to run movies.

Computation:

Number of science fiction movies way air = 2!

Number of science fiction movies way air = 2×1

Number of science fiction movies way air = 2

Number of horror fiction movies way air = 6!

Number of science fiction movies way air = 6×5×4×3×2×1

Number of science fiction movies way air = 720

Total ways to run movies = 2 × 720

Total ways to run movies = 1,440

Answer:

The ANSWER is 1/2 x (3/5) : (9/15) (-6/4) : (4/1) = -3/16 = -0.1875

Step-by-step explanation:

Multiple: 1/2 * 3/5 = 1 · 3/2 · 5 = 3/10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 10) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three fifths is three tenths.

Divide: the result of step No. 1 : 9/15 = 3/10 : 9/15 = 3/10 · 15/9 = 3 · 15/10 · 9 = 45/90 = 45 · 1/45 · 2 = 1/2

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 9/

15 is 15/9) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 45 gives 1/2.

In other words - three tenths divided by nine fifteenths is one half.

the result of step No. 2 * (-6/4) = 1/2* (-6/4) = 1 · (-6)/2 · 4 = -6/8 = -3 · 2/4 · 2= -3/4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-6, 8) = 2. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by minus six quarters is minus three quarters.

Divide: the result of step No. 3 : 4 = -3/

4 : 4 = -3/4 · 1/4 = -3 · 1/4 · 4 = -3/16

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/

1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - minus three quarters divided by four is minus three sixteenths.

Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

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Answer:

1400

Step-by-step explanation:

To preface, we should think about how percentages are taken from original numbers, and we may apply the operations oppositely.

First, let's set up an equation.

Let 3.5% equal to 49, where 3.5% is multiplied by x and x = the unknown factor.

3.5x = 49

Divide both sides by 3.5 to get x by itself.

3.5x/3.5 = 49/3.5

= x = 14.

Multiply the number by 100 and you will get your answer of 1400.

Check:

3.5% to decimal is... 3.5/100 = 0.035.

Multiply the quotient by the answer 1400 and you will obtain the given number of a percentage.

0.035 x 1400 = 49.

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer:

Step-by-step explanation:

Given expression:

Value of expression when x = 3 and y = 2:

Answer:

5x + 1/2 y² when x = 3 and y = 2

\(→\boxed{5x + \frac{1}{2} {y}^{2} } = 5(3) + \frac{1}{2} {(2)}^{2} \\ = 5(3) + \frac{1}{2} (4) \\ = (15 + 2) \\ = \boxed{ 17}✓\)