helppp
Determine the x-intercept of the line whose equation is given:
y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using this formula, we get

[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]

[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]

Now,

[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Answer:

If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.

Therefore, the ratio would be 345:575.

Hope this is right and helps :)

*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

Answer:

2

Step-by-step explanation:

Answer:

245.04 cm²

Step-by-step explanation:

Use the formula for the surface area of a cylinder: 2[tex]\pi[/tex]r² + 2[tex]\pi[/tex]rh

Now, we can plug in the values:

2[tex]\pi[/tex](3)² + 2[tex]\pi[/tex](3)(10)

18[tex]\pi[/tex] + 60[tex]\pi[/tex] = 245.04

The total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

We have a can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters.

We have to determine total surface area of the can in square centimeters.

The total surface area of a cylinder with radius 'r' and height 'h' is given by -

A = 2πr(h + r)

According to the question, we have -

diameter of can = 6 cm

Then, the radius will be (r) = 6/2 = 3 cm

Height of can (h) = 10 cm

Substituting the values, we get -

A = 2 x 3.14 x 3 (10 + 3)

A = 2 x 3.14 x 3 x 13

A = 6 x 13 x 3.14

A = 78 x 3.14

A = 244.92 square centimeters.

Hence, the total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

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Answer:

t = 5 years

online readership will exceed physical sales in 5 years

Step-by-step explanation:

The number of physical readership can be represented by the equation;

P(t) = 120 - 6t

The number of Online readership can be represented by the equation;

K(t) = 60 + 8t

For online readership to exceed physical sales

K(t) > P(t)

60 + 8t > 120 - 6t

Collecting the like terms;

8t+6t > 120-60

14t>60

t > 60/14

t > 4.29

To the nearest year greater than 4.29.

t = 5 years

online readership will exceed physical sales in 5 years

Answer:

39.936 ( not rounded )

Step-by-step explanation:

Use Pythagorean theorem

a^2 + 6.4^2 = 9^2

height = 6.24 (rounded to nearest hundredth)

1/2 * base * height = area

1/2 * 12.8 * 6.24

= 39.936 ( not rounded )

Image is attached below.

If the sum of the digits its divisible by 9,

then the original number is divisible by 9.

Since 18 (the sum of the digits) is divisible by 9,

the number 540,171 is also divisible by 9.

Answer:

Yes, The number is divisible by 9

Step-by-step explanation:

If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.

Hope this helps.

The equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3

The equation of a line can be represented as follows;

y = mx + b

where

Therefore,

parallel line have the same slope

(5, 35)(10, 50)

m = 50 - 35 / 10 - 5 = 15 / 5 = 3

Hence,

(4, 15)

y = 3x + b

15 = 3(4) + b

15 - 12 = b

b = 3

Therefore, the equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3

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Step-by-step explanation:

a^4  - a^4 = (a^2 +a^2)(a^2-a^2)

a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)

there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0

 i hope this will help you

Answer:

Hello There!

~~~~~~~~~~~~~~~

a² ÷ a⁴ × a² =

1

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

by definition we can write

[tex](x-5)(x+4)(x-1)[/tex]

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]

hope this helps

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function [tex]f(x)=x^3[/tex], and then transform it into the function: [tex]g(x)=(x-4)^3-7[/tex]

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

Answer:4, -7

Step-by-step explanation:

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

Answer:

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

Answer:

1

Step-by-step explanation:

To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.

Answer:

1 or 10/10

Step-by-step explanation:

Step 1 make a common denominator

            to make a common demoniator multiply the top and bottom number by the same number

                         so multiply the 4 and 5 by 2 to get 8/10

Step 2 now that you have 8/10 add it with 2/10

Step 3 solve to get 10/10 and then simplify it to 1

Answer: independent variables cause the effect measured in the dependent variables

Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.

Answer:

D)

Step-by-step explanation:

a number: n

difference of 17 and a number: 17 - n

4 times the difference of 17 and a number: 4(17 - n)

4 times the difference of 17 and a number is 84: 4(17 - n) = 84

==================================================

Work Shown:

A = 2+i

O = -4, this is the letter 'oh' not to be confused with the number zero

P = -i

S = 2+4i

A-O+P+S = (2+i) - (-4) + (-i) + (2+4i)

A-O+P+S = (2+i)  + 4 + (-i) + (2+4i)

A-O+P+S = (2+4+2) + (i-i+4i)

A-O+P+S = 8+4i

Answer:

The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

the correct answer is:

A. 9/-6

Answer:

answer D

Step-by-step explanation:

hello,

[tex]f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2[/tex]

hope this helps

The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

⇒ f (x) = - 5ˣ - 4

⇒ g (x) = - 3x - 2

Hence, We get;

The value of function (f - g) (x) is,

⇒ (f - g) (x)

⇒ f (x) - g(x)

⇒ (5ˣ - 4) - (- 3x - 2)

⇒ 5ˣ - 4 + 3x + 2

⇒ 5ˣ + 3x - 2

Thus, The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

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Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer: -8/-4

Step-by-step explanation:

When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem

18/9 = 2

Now all is left to determine which other expression is equivalent to 2

In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.

18/2 = 9 = incorrect

12/3 = 4 = incorrect

-10/5 = -2 = incorrect

8/4 = 2 = correct

So the expression -8/-4 is equivalent to the expression -18/-9

Answer:

Its D

Step-by-step explanation:

took the test its right, yw

Answer:

Hasty generalization fallacy

Step-by-step explanation:

Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.

In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.

Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.

Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.

Answer:

4x – 3 + 2x = 33

6x = 36

x = 6

D. x = 6

Answer:

There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.

Answer:

Step-by-step explanation:

[tex]1500 \: miles \: \: per \: hour[/tex]

[tex] = \frac{15000}{60 \times 60} [/tex]

[tex] = \frac{15000}{3600} [/tex]

[tex] = \frac{25}{6} [/tex]

[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]

Hope this helps...

Good luck on your assignment...