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Multiple choice :
A) 0
B) 2
C) -1.5
D) 4
E) 0.5
​

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

factor of   4x² + 49 is (2x)^2+(7)^2

                 x² + 1     is   x^2+(1)^2

                 36 + 100a²    is (6)^2=(10a)^2

                 16² +25     is (4)^2+(5)^2

                  18y² +8    is([tex]\sqrt{18}[/tex]  y)^2+([tex]\sqrt{8}[/tex])^2

                  x² + y²     is (x)^2+(y)^2

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The logic statements can be expressed and put into categories as follows;

1. If two lines are perpendicular, then the four angles caused by them are right angles

2: 1. Inductive

2. Deductive reasoning

1. If two lines are perpendicular, then the four angles caused by them are right angles.

Two lines are perpendicular when the angles formed by them are right angles.

The vertically opposite angles formed by intersecting lines have equal measure, and linear pair angles are supplementary, therefore;

If one of the angles formed by intersecting lines is known to be 90°, the vertical and adjacent angles are also 90°, and by the sum of angles at a point property, the remaining angle is also, 90°, which indicates that all the angles formed are right angles (90°).

An If, Then statement is therefore;

2. Inductive reasoning is the logic approach of making general conclusion from specific observations.

Deductive reasoning is an approach where general ideas are used to arrive at particular conclusions.

1. The statement, the product of two 2–digit numbers is always a 4–digit number, draws a general conclusion about the result of multiplying two 2–digit numbers, therefore;

2. The statements, Florida requires all lawyers to pass the Bar Exam to practice law.

If Mark does not pass the bar then he would not legally be able to represent clients as their lawyer.

The above statement makes deductions from the general statement on the rules of law practice in Florida.

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Answer:

True

Step-by-step explanation:

You can either solve for x (which produces 0 as the result) or you can plug zero in for x into the original equation to verify that it produces a true statement.

Answer:

Step-by-step explanation:

True or false, 0 is a solution to

2x + 10 = 4x + 10

2x - 4x = 10 - 10

-2x = 0

x = 0/-2

x = 0

the equation is TRUE

Answer:

2) SA + AM = SM

3) SA = AM

What is a defined term?

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

What is a midpoint?

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Hope this helped :)

Answer:

-1

Step-by-step explanation:

I'm just good like that

The factors of the equation are -1/3 and -4/3

Rewriting the equation -

9x² + 15x + 4 = 0

ax² + bx + c = 0

Factorizing the equation such that

12 and 3 are suitable factors for solving the given expression -

9x² + 3x + 12x+ 4 = 0

Taking common factors -

3x(3x + 1) +4 (3x + 1) = 0

(3x + 1) (3x + 4) = 0

x = -1/3, -4/3

So, the two factors of expression are -1/3 and -4/3

Checking the answers by keeping each value of x in expression

When x = (-1/3)

9x² + 15x + 4 = 0

9(-1/3)² + 15(-1/3) + 4 = 0

1 -5 +4 = 0

5 - 5 = 0

0 = 0

When x = (-4/3)

9x² + 15x + 4 = 0

9(-4/3)² + 15(-4/3) + 4 = 0

16 - 20 +4 = 0

- 4 + 4 = 0

0 = 0

Since for both values of x, Left Hand Side of equation is equal to Right Hand Side of equation, the resultant factors are correct.

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Answer:

The domain is -4,1,0,3

The range is -4, 3, 5, 9

Step-by-step explanation:

Domain is the x intercept

range is the y intercept

hope this helps!

The highest number that can be placed in each bag is 12.

It should be noted that it was stated that William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

In this case, he wants each bag to have the same number of cans of each type of food.

It should be noted that the information simony wants us to get the highest common factor for 24 and 60.

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

Factors of 60 = 1, 2, 3, 4, 5,6, 10 ,12, 15, 20, 30, 60

Therefore, the highest number that can be placed in each bag will be the highest common factor for 24 and 60 which is 12.

Therefore, the highest number that can be placed in each bag is 12.

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Answer:

2.432926829 rounded to a significant figure

Step-by-step explanation:

798/(8*41)

798/328=399/164=2 71/164 or approx 2.432926829

Round to a "significant figure."

(I don't know what that's referring to. The nearest whole number is 2.)

Answer:

7 and 23 or 11 and 19

Step-by-step explanation:

First, let's determine the prime numbers between 1 and 30.

2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are all the prime numbers between 1 and 30.

We can now see that 7 and 23 add up to 30.

But 11 and 19 also works.

Hope this helped!!

Transformation of y= bx into [tex]y=\frac{1}{2} 9x[/tex] will take place by vertical dilation by a scale factor of [tex]\frac{9}{2}[/tex] .

We have given two function y=b x  and [tex]y=\frac{1}{2} 9x[/tex]  which means that first y  changes into [tex]\frac{1}{2} 9x[/tex] i.e., vertical dilation by a scale factor of [tex]\frac{9}{2}[/tex] .

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Answer:9 cm long

Step-by-step explanation:

7 + 2 = 9

so that will be the total

The colors of automobiles are qualitative variables.

Qualitative data deals with traits and qualities that are difficult to quantify but can be perceptually experienced, such as flavors, sensations, looks, and colors. In general, you create quantitative data when you measure something and assign it a numerical value.

A qualitative variable, often known as a categorical variable, classifies a quality of something to characterize it. A wonderful illustration of anything that may be categorized is the hues of the cars in a parking lot: red, green, blue, black, white, etc. As a result, this is a qualitative variable.

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Answer:

20

Step-by-step explanation:

18+12=30-50

bbbbbbtbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbtbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

Step-by-step explanation:

how big is yo toes?

Answer:

<3 and <1

Step-by-step explanation:

they're vertical angle pairs

Answer:

6

Step-by-step explanation:

Angles DBF and EBF form a linear pair, so:

[tex]5x+6+3x-2=180 \\ \\ 8x+4=180 \\ \\ 8x=176 \\ \\ x=22 \\ \\ \implies m\angle DBF=116^{\circ}[/tex]

Similarly, because angles DBF and DBC form a linear pair,

[tex]m\angle DBC=64^{\circ}[/tex]

Since angle DBE is a straight angle, angle ABE is 26 degrees.

[tex]4y+2=26 \\ \\ 4y=24 \\ \\ y=6[/tex]

Answer:

                     .                           .                                       .

_________-16____-14____-12____-10____-8____-6____-4____-2____0

Answer:

x+15 = 4x

3x = 15

x = 5

Therefore her present age is 5 years

Step-by-step explanation:

hope this helps! <3

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

the image of BC reflecting over FC is DC.

The solution of the given equation by rounding off it to the nearest ten-thousandth is 1.2063.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: 4³x=77.2

We are given that 4³x = 77.2            —- 1

We know that 4³ = 64

Using in equation 1, we have,

64x = 77.2

x = 77.2 / 64

= 1.20625

Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 1.2063.

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The answer to your question is 1.25

Three equations with a solution of -1/2 are given as follows:

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

One example of a system of equations is when two equations are equaled, as is the case for this problem:

ax + b = cx + d.

We want solution of -1/2, hence:

x = -1/2

(a - c)x = d - b.

Thus:

Then three possible cases are given as follows:

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Based on the poll of the opinion of food by students at a high school, one problem with the study is that B. Nonresponse.

In the question that was asked about how acceptable the food was, the total number of people who responded were:

= 54 + 103 + 15

= 172 responses

This means that the number of people who didn't respond were:
= 200 - 172

= 28 students

This is a problem of nonresponse as 28 students opted not to respond to the question which can affect research conclusions.

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Let's arrange the pairs on the chart as follows:

(x, y) \s(2,1) \s(3,4) \s(3,3) \s(4,2) \s(5,5)

Two y-values are present at x=3 as indicated by the bold type. Therefore, this relationship does not pass the vertical line test (two points on the same vertical line). It's not a function, this.

There may be errors in the answer choices.

No, because there are multiple y-values that can be represented by a single x value.

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Answer:

608 hours

Step-by-step explanation:

64% as a decimal is 0.64.

950(0.64) = 608

Answer:

A= 16

B= 2

Step-by-step explanation:

Answer:

A= 16

B= 2

That is the correct answer

If the inverse of f exists, it is represented by f⁻¹ and exists only if f is a bijective function.

The inverse of the function f(x)=√x-5  is x² + 5,

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

Considering f(x) = y, To find the inverse function, the x, and y values are switched giving the new equation of

x = √y - 5

Now we solve f(x),

x + 5 = √y

simplifying the above equation, we get

x² + 5 = y

The inverse function of f(x)=√x-5 is x² + 5

The domain of the function would be all x, such that

F(x) = √x + 5

The domain is {x∈R |x ≥ -5}

For f(x) to be defined, the term under the square root should be greater

than or equal to zero

x - 5 = 0

√x - 5 ≥ 0

The range of the function f(x)=√x-5 is [0,∞).

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