The sum of x to the sixth power and 3 times x
F(x)=T-2(X+4)^2 where t is the constant. If f(-8.3)=f(a) and a > 0 what is the value of a ?
We are given the equation:
F (x) = T – 2 (x + 4)^2 ---> equation 1
Since we know that f (-8.3) = f(a) and a>0, therefore from equation 1 we can generate that:
(x + 4)^2 = (a + 4)^2
(-8.3 + 4)^2 = (a + 4)^2
(-4.3)^2 = (a + 4)^2
(a + 4)^2 = 18.49
a + 4 = 4.3
a = 0.3
Consider the trinomial below x^2-20x+91 The factors of the given trinomial are
The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.
A. No, it is not a rectangle because the diagonals are congruent.
B. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
C. Yes, it is a rectangle because the diagonals are congruent.
D. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.
Answer:
(B)
Step-by-step explanation:
From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).
Therefore, No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.
Which algebraic expression models the given word phrase 10 times the sum of a and b?
Answer:
[tex]10(a+b)[/tex]
Step-by-step explanation:
We are asked to write an algebraic expression for the given word phrase.
The sum of 'a' and 'b' would be [tex]a+b[/tex].
10 times the sum of 'a' and 'b' would be 10 multiplied by sum of both 'a' and 'b': [tex]10(a+b)[/tex]
Therefore, our required algebraic expression would be [tex]10(a+b)[/tex].
I can't do this and it's urgent
A map is drawn using a scale of 1cm and 80mi. Two cities are 280miles apart. How far are the cities on the map.
Rewrite 56 + 32 as the product of the GCF and a sum.
Final answer:
To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.
Explanation:
To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.
Next, we divide both 56 and 32 by the GCF to find the other factor:
56 ÷ 8 = 7
32 ÷ 8 = 4
Now, we represent the original sum as the product of the GCF and the sum of the results from the division:
56 + 32 = 8 × (7 + 4)
When we simplify the sum inside the parentheses, we get:
8 × 11
Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.
Given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point? Explain. no; The points must all be collinear to draw a plane. yes; Use the three points provided to draw the plane. yes; Use the third point to create a perpendicular to the line. no; The measurements between the points must be found to be equal.
Yes, it is possible to draw a plane that includes a line and a third point not on the line. In mathematics, a plane can be defined by three points. Therefore, the two points on the line and the third point not on the line can be used to define the plane.
Explanation:Yes, it is indeed possible to draw a plane that includes a line and a third point not on the line. The definition of a plane in mathematics is that it's a two-dimensional surface that extends infinitely along its length and width, which can be defined by three points. Considering you have two points on the line, and a third point that's not on the line, you could use these three points to define your plane. It doesn't matter whether the three points are collinear or not, the plane can still be defined. The key is that you need at least three non-collinear points to define a plane.
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Write 506.137 in expanded form.
A recipe calls for 2 1/4 cups of sugar. You want to make only 1/3 of the recipe. how much sugar will you need?
If x , y and z Are whole numbers greater than 2 and If xyz2 = 735 What is the value of x+ y+z
The value of x + y +z is 15.
A type of number that includes the natural number and zero.
It does not include fractions and decimals.
Odd numbers are those real numbers that are not divisible by 2.
The variables x, y, and z are whole numbers.
The value of x, y, and z is greater than 2
xyz² = 735
The value of x + y +z has to be determined.
Let x = 3 ,then by the given statement y = 5 and z = 7
These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.
To check, they should satisfy xyz² = 735
= 3 * 5 * 7²
= 735
So these are the values of the variables and so,
The value of x + y +z is
= 3 + 5 + 7
= 15
It seems that your question is incomplete, the complete question is :
If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.
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Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statements truth value is false, give a counterexample
Answer:
2022 na wala parin sagot?
Step-by-step explanation:
tsk tsk tsk
kawawi ka naman
Which fraction has a value that's equal to 7/8
multiply both numbers by the same number
so multiply by 2 you get 14/16
multiply by 3 you get 21/24
and so on
What are the zeroes of f(x) = x2 − 9x + 20?
Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form?
A particular Egyptian pyramid is 22 feet tall, but the length across the base is unknown. There is a scale model of the pyramid that is 2 feet tall, and it has a base length of 1.3 feet. What is the base length of the actual pyramid?
What is the area of this shape ?
12 *16 = 192
1/2 *20*10 = 100
192 +100 = 292 square units
If y is directly proportional to x and if y=50 when x=25, find k, the constant of proportionality.
Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.
What is the youngest age Juanita's cousin can be?
Enter your answer in the box.
A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many quarters are there?
Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 3 or a queen?
Final answer:
The probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards is 2 / 13, or approximately 15.38%.
Explanation:
The question asks for the probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards. There are four 3s and four Queens in a standard deck, making a total of eight specific cards that fulfill our criteria out of 52. To calculate this probability, we divide the number of favorable outcomes (drawing a 3 or a Queen) by the total number of outcomes (total cards in the deck).
The formula for calculating the probability, P(A), of an event A (in this case, drawing a 3 or a Queen) is:
P(A) = Number of favorable outcomes / Total number of outcomes
Therefore, P(3 or Queen) = 8 / 52 = 2 / 13. This simplifies to approximately 0.1538 or 15.38%.
This means that when you draw a card from a standard deck of 52 playing cards, you have approximately a 15.38% chance of drawing either a 3 or a Queen.
Which of the following statements is not true?
The sum of two positive numbers is always positive.
The product of two negative numbers is always positive.
The sum of two negative numbers is always negative.
The quotient of two negative numbers is always negative.
Answer:
The false statement is d; the quotient of two negative numbers is always negative.
The false statement is The quotient of two negative numbers is always negative.
What are integers?The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.
Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)First, The sum of two positive numbers is always positive.
The statement is true.
For example, +3 + (+6)= +9
Second, The product of two negative numbers is always positive.
The statement is true.
For example, (-3) x (-6) = +18 { (-) x (-) = (+)}
First, The sum of two negative numbers is always negative.
The statement is true.
For example, -3 + (-12)= -3 - 12 = -15
First, The quotient of two negative numbers is always negative.
The statement is false.
For example, -9/(-3)= +3
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Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.
Name the property illustrated by each statement:
1. If x+9=2, then x+9-9=2-9
2. If x=3y and 3y=16. then x=16
Final answer:
The first statement demonstrates the Subtraction Property of Equality, and the second statement shows the Transitive Property of Equality, both of which are fundamental in solving linear equations.
Explanation:
The property illustrated by each statement:
If x+9=2, then x+9-9=2-9. This is an example of the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.If x=3y and 3y=16, then x=16. This is known as the Transitive Property of Equality, where if one value equals a second value, and the second value equals a third value, then the first value equals the third value.Understanding these properties helps in solving linear equations and applying basic operations in algebra.
Final answer:
The properties illustrated are the Subtraction Property of Equality and the Transitive Property of Equality, used in solving linear equations.
Explanation:
The question is asking to name the property illustrated by each statement:
Subtraction Property of Equality: If x+9=2, then x+9-9=2-9. This shows that if you subtract the same number from both sides of an equation, the equality is maintained.
Transitive Property of Equality: If x=3y and 3y=16, then x=16. This property states that if one quantity equals a second, and the second quantity equals a third, then the first quantity equals the third.
These properties are fundamental in solving linear equations and are used to manipulate and solve equations for a specific variable.
What is “Twice a number is more than the sum of that number and 9” written in equation form?
what is 1.23 pounds as an mixed number?
Divide 3x2 + 6 by 3x – 3.
Which expression represents the quotient and remainder?
x + 3x/3x - 3
x + 1 + 9/ 3x - 3
x - 9x/ 3x - 3
The requried value of the given expression is (x² + 2)/x - 1.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 3x² + 6 / 3x - 3
= 3 [x² + 2] / 3 [x - 1]
= x² + 2 / x - 1
Thus, the requried value of the given expression is (x² + 2)/x - 1.
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Sue scored a total of 35 points in two games. she scored 6 times as many points in the second game is the first. how many more points did she score in the second game?
Train passes through appleton station every 20 minutes how many trains pass through