I need help on this please! This is Geometry :)

Answer:

x = -8

Step-by-step explanation:

4x - (9 - 3x) = 8x - 1

remove parenthesis

4x - 9 + 3x = 8x - 1

add 9 to both sides

4x + 3x = 8x + 8

subtract 8x from both sides

-x = 8

x = -8

The solution to the equation 4x - (9 - 3x) = 8x -1​ is x = -8

From the question, we have the following parameters that can be used in our computation:

4x - (9 - 3x) = 8x -1​

Open the brackets

So, we have

4x - 9 + 3x = 8x - 1

Evaluate the like terms

So, we have the following representation

7x - 9 = 8x - 1

Next, we have

8x - 7x = 1 - 9

So, we have

x = -8

Hence, the solution is x = -8

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Answer:

y=1/3x+2

Step-by-step explanation:

................

Answer:

y=1/3x+2

Step-by-step explanation:

slope intercept form: y=xm+b

6y=2x+12

/6       /6

y=2/6x+2

y=1/3x+2

have a great day!

Answer:

A.) bus only = 23

B.) LRT only = 34

C.) Jeep only = 9

D.) 5

Step-by-step explanation:

Let :

B = bus ; J = Jeep ; L = LRT

KINDLY CHECK ATTACHED PICTURE FOR DETAILED EXPLANATION

A set is a group of related item.

Let:

\(Total =120\)

\(B = 68 \to Bus\)

\(L = 78 \to LRT\)

\(J =33 \to Jeep\)

\(n(B\ n\ L) = 40\)

\(n(B\ n\ J) = 20\)

\(n(L\ n\ J) = 19\)

\(All = 15\)

(a) Bus only

This is calculated using:

\(B\ only = B - n(B\ n\ L) - n(B\ n\ J) + All\)

So, we have:

\(B\ only = 68 - 40 - 20 + 15\)

\(B\ only = 23\)

(b) LRT only

This is calculated using:

\(L\ only = L - n(B\ n\ L) - n(L\ n\ J) + All\)

So,

\(L\ only = 78 - 40 - 19 + 15\)

\(L\ only = 34\)

(c) Jeep only

This is calculated using:

\(J\ only = J - n(B\ n\ J) - n(L\ n\ J) + All\)

So, we have:

\(J\ only = 33 - 20 - 19 + 15\)

\(J\ only = 9\)

(d) None

Let x represents those that took none of the means of transport.

So, we have:

\(Total = B\ only + J\ only + L\ only + [n(B\ n\ L) -All] +[n(B\ n\ J) -All] +[n(L\ n\ J) -All] + All + x\)

This gives

\(120= 34 + 23 + 9 + [40 -15] +[20 -15] +[19 -15] + 15 + x\)

\(120= 115 + x\)

Collect like terms

\(x = 120 - 115\)

\(x = 5\)

See attachment for the Venn diagram of the set.

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Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

We fail to reject our null hypothesis and conclude that there is not sufficient evidence to conclude that the average monthly rate for one-bedroom assisted-living facility is different from $3,300.

Step-by-step explanation:

We are given that critical value of z=2.05

z test statistic=1.98

As we are testing that whether the the average monthly rate for one-bedroom assisted-living facility is different from $3,300, so this leads to two tailed hypothesis test as hypothesis are

Null hypothesis:μ=3300

Alternative hypothesis:μ≠3300.

The critical region in case of two tailed hypothesis test is

\(|z|>z_{\frac{\alpha }{2} }\)

1.98>2.05 (which is not true)

So, the test statistic don't lie in rejection region, thus we don't reject our null hypothesis and conclude that there is insufficient evidence to conclude that the average monthly rate for one-bedroom assisted-living facility is different from $3,300.

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

I have made it in above picture

We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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GIVEN

The function representing the path of the ball is given to be:

SOLUTION

The time taken to hit the ground can be calculated by equating the function to 0:

Therefore:

The quadratic equation can be solved as follows:

Since the time can only be positive

The first equation that represents 42 - p -p= 21 is correct.

An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.

Isaac has $42 cash in hand when arrived Saturday market.

He buys two posters that each cost selling price or SP.

when he leaved the market had $21 cash in hand.

assume, each poster has a price = p

The situation is represented by the following.

initial amount - cost for two posters = final amount

42 - p - p = 21

hence, the first equation that given in the question is correct.

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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In addition to being novel, arbitrary matrices with complicated members are seen to hold potential. It is based on a theorem of Schur, who claims that any complex matrix.

A matrix with any number of elements is said to be arbitrary. The following would be a random 2x2 matrix: [a,b] [c,d] where a, b, c, and d are all components of a set (usually the real numbers.)

"Arbitrary" is defined as "undetermined; not assigned a definite value." For instance, the statement x+x=2x is accurate for any value of xR, whereas the statement x+x=2 is only accurate for one particular value, x=1.

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Answer:

of a single egg or?

Step-by-step explanation:

The 0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.

0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.

0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

We know standard deck has 52 cards.

And 13 cards are for clubs.

(a).

The probability,

= number of favorable outcomes / number of outcomes

= 13 x 12 / 52 x 51

= 0.0588

0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.

(b). 12 faces in a deck.

The probability,

= number of favorable outcomes / number of outcomes

= 12 x 11 / 52 x 51

= 0.04977

= 0.0498

0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.

(c). There are 4 aces in the deck.

The probability,

= number of favorable outcomes / number of outcomes

= 4 x 3 / 52 x 51

= 0.0045

0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards.

Therefore, the probabilities are 0.0588, 0.0498 and 0.0045.

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Answer:

3m-5

Step-by-step explanation:

combine like terms

No, the standardized test statistic t does not indicate that you should reject the null hypothesis.

The value of the test statistic t only tells you how much of an effect the independent variable has on the dependent variable. To determine whether to reject the null hypothesis, you must compare the value of t to a critical value based on the sample size, the level of significance, and the degrees of freedom.

The standardized test statistic t does not indicate whether you should reject the null hypothesis. To determine this, you must compare the value of t to a critical value based on the sample size, level of significance, and degrees of freedom.

No, the standardized test statistic t does not indicate that you should reject the null hypothesis.

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Answer:

D

Step-by-step explanation:

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

43.92

Step-by-step explanation:

First you need the measure of angle C

180 - 90 - 37 = 53 degrees

Then use the Law of Sines with the pair you know:

sin 90 / 55 = sin 53 / x

Solve the equation

x * sin 90 / 55 = sin 53

x * sin 90 = 55 * sin 53

x = 55 * sin 53/sin 90

x = 43.92

Answer:

C....

Step-by-step explanation:

After considering all the given options we come to the conclusion that the inequality that represents the  values of x for the give triangle ABC is 15/11 < x < 17/5, which is Option A.

Here, the sides of a triangle should gradually satisfy the triangle  inequality theorem which projects that the summation of the lengths considering any two sides of a triangle should be bigger than or equivalent towards the length of the third side.
Then, for the given sides of triangle ABC,
3x+1 + 16 > 8x

Applying this inequality,
x > 15/11
So,
16 + 8x > 3x+1
Applying simplification
x < 17/5
Hence , the inequality that represents the values of x for which triangle ABC exists is 15/11 < x < 17/5.
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The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).

Answer:

m ∠DGA  =  78°

Step-by-step explanation:

∠CGB and ∠DGA are vertically opposite angles formed at the intersection of the two rays AB and CD

Such angles are equal to each other

Therefore
m ∠DGA  = m ∠CGB  = 78°