Final answer:
The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.
Explanation:
The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.
First, notice that the denominator is a difference of squares, which factors as follows:
4t2 − 9 = (2t + 3)(2t - 3)Next, we set each factor of the denominator equal to zero to find the excluded values:
2t + 3 = 0, which yields t = -3/22t - 3 = 0, which yields t = 3/2Therefore, the excluded values are t = -3/2 and t = 3/2.
The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.
The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.
First, notice that the denominator is a difference of squares, which factors as follows:
4t2 − 9 = (2t + 3)(2t - 3)
Next, we set each factor of the denominator equal to zero to find the excluded values:
2t + 3 = 0, which yields t = -3/2
2t - 3 = 0, which yields t = 3/2
Therefore, the excluded values are t = -3/2 and t = 3/2.
Reflect
1. What If? If Alex had saved $333.34 a month for 3 months, how
much money would he have? If he had used his savings instead
of his credit card, how much less would his purchases have cost him?
2. How much less did Barry's loan, at an interest rate of 9%, cost than
Alex's loan at 21%?
Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan
Explanation:If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.
For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.
Learn more about Interest and Savings Calculation here:https://brainly.com/question/34354685
#SPJ3
Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan
If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.
For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.
The diagram below shows triangle MNR with ray NM. Triangle M N R. Angle N is 97 degrees. Side N M extends to form an exterior angle of M with a measure of 115 degrees. What is the measure of Angle M R N? 3° 5° 18° 28°
Answer:
18 degrees.
Step-by-step explanation:
115-97=18
The calculated measure of the angle MRN is 18 degrees
Calculating the measure of Angle MRN?From the question, we have the following parameters that can be used in our computation:
Triangle = MNR
Angle N = 97 degrees
From the attached figure
Segment NM is an extension from the exterior angle of M
By the sum of opposite interior angles of triangle, we have
MRN + ∠N = 115 degrees
This means that
MRN + 97 = 115 degrees
Subtract 97 from both sides
MRN = 18 degrees
Hence, the measure of the angle MRN is 18 degrees
Read more about angle at
https://brainly.com/question/25716982
#SPJ1
what expressions that are equivalent to
-2(5x – 1) + 7(5x – 1) – 3(-52 + 1)?
Answer:
B chose b im sure
Step-by-step explanation:
Find the value of x. The diagram is not to scale. Explain your reasoning.
Answer:
x = 24
Step-by-step explanation:
Since SR = ST then Δ RST is isosceles, thus the base angles are congruent.
∠ SRT = ∠ STR = 4x - 60
∠ STR and ∠ STU are adjacent and supplementary, thus
∠ STR + ∠ STU = 180, substitute values
4x - 60 + 6x = 180, that is
10x - 60 = 180 ( add 60 to both sides )
10x = 240 ( divide both sides by 10 )
x = 24
There are 8 marbles in a jar. One of the marbles is clear. What is the decimal expansion of 1/8? please help me
Answer:
Step-by-step explanation: 1/8 = .125
move two decimals to right = 12.5
The decimal expansion of 1/8 is 0.125, which is also the probability of drawing a clear marble from a jar of eight marbles, if only one of those marbles is clear.
Explanation:The question asks for the decimal expansion of 1/8. To determine the decimal expansion of the fraction, you simply divide the numerator (the top number, which in this case is 1) by the denominator (the bottom number, which in this case is 8). When performed, 1 divided by 8 results in the decimal 0.125. This concept is similar to calculating probabilities in which the total number of outcomes is divided by the desired outcome. For example, in the case of the marbles in a jar, if one is clear and there are eight total, the probability of drawing a clear marble is also 1/8 or 0.125.
Learn more about Fraction to Decimal Conversion here:https://brainly.com/question/31738948
#SPJ3
Please help with the answer
The area of the circle is 201.1 sq cm. Option B
Step-by-step explanation:
Given,
The radius (r) of the circle = 8 cm
To find the area of the circle.
Formula
Area of the circle = πr²
So,
Area = [tex]\frac{22}{7} X8^{2}[/tex] sq cm
= 201.14 sq cm = 201.1 sq cm
Hence,
The area of the circle is 201.1 sq cm.
p(2) = 14 and p(-3) = 0. Write one factor of p(x) and explain how you know
Answer:
Step-by-step explanation:
Given p(2) = 14 and p(-3) = 0, according to factor theorem, if a polynomial p(x) is divided by a function x+c where c is a constant, then x+c is said to be a factor of p(x) if p(-c) = 0 i.e if the remainder is zero after the division.
According to the question, it can be seen that p(-3) = 0. This means that the function x+3 is said to be factor if the remainder of the polynomial is zero when divided the polynomial because the reminder leaves zero after division where c = 3
Select the ordered pairs that satisfy the equation y=1/3x
Check all that apply
A. (4,6)
B. (6,2)
C. (3,6)
D. (15,5)
E. (-3,-1)
F (1,3)
Answer:
B, D, E
Step-by-step explanation:
I am assuming that the equation is y = [tex]\frac{1}{3}[/tex] * x and not y = [tex]\frac{1}{3x}[/tex].
Using y = (1/3)x, we can transpose the x, so that now we have y/x = 1/3.
Take note that the given options are in the format of (x, y). You can simply plug all the values, and whichever gave you a result of 1/3 is your answer.
B.) 2/6 = 1/3
D.) 5/15 = 1/3
E.) -1/-3 = 1/3
The ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1). Ordered pairs are verified by substituting the x-value into the equation to see if the resulting y-value matches the pair.
Explanation:To determine which ordered pairs satisfy the given linear equation y = 1/3x, we need to substitute the x-value of each ordered pair into the equation to see if the corresponding y-value is correct.
For pair A (4, 6), substitute x = 4 into the equation to see if y equals 6: 1/3 * 4 = 4/3 which does not equal 6, so A does not satisfy the equation.For pair B (6, 2), substitute x = 6: 1/3 * 6 = 6/3 which equals 2, so B does satisfy the equation.For pair C (3, 6), substitute x = 3: 1/3 * 3 = 3/3 which equals 1, not 6, so C does not satisfy the equation.For pair D (15, 5), substitute x = 15: 1/3 * 15 = 15/3 which equals 5, so D does satisfy the equation.For pair E (-3, -1), substitute x = -3: 1/3 * -3 = -3/3 which equals -1, so E does satisfy the equation.For pair F (1, 3), substitute x = 1: 1/3 * 1 = 1/3, which does not equal 3, so F does not satisfy the equation.So the ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1).
Learn more about Ordered Pairs and Linear Equations here:https://brainly.com/question/14107548
#SPJ2
1) Circle the equation that is NOT an example of direct variation.
A) y= 3 X+1
B)y= 16x
C) y = 4x
D) y=-9x
Answer:
A) y= 3 X+1
Step-by-step explanation:
A direct variation is of the form
y = kx
A) y= 3 X+1 not a direct variation since we add 1 to it
B)y= 16x direct variation
C) y = 4x direct variation
D) y=-9x direct variation
Answer:
The answer is A) y= 3 X+1
Step-by-step explanation:
I broke it down on paper.
Te exercise video started at 1:37pm. It
ended at 2:20pm. How long was the exercise
video?
Answer:
43 minutes.
I do not know if this question is a joke, but I hope this helps
There are 10 players and 7 chairs. How likely is it that I will win
this round?
Answer:
70%
Step-by-step explanation:
To solve this problem, you simply divide 7 by 10.
7 ÷ 10 = .7
.7 is the decimal form of 70%. This means that you have a 70% chance of winning this round.
How do you set up this equation ?
Given:
Quadrilateral PQRS is a rhombus.
To find:
The value of y.
Solution:
In the rhombus PQRS,
PS = 10y and SR = y + 45
Property of rhombus:
All sides are congruent.
⇒ PS = SR
⇒ 10y = y + 45
Subtract y from both sides.
⇒ 10y - y = y + 45 - y
⇒ 9y = 45
Divide by 9 on both sides.
[tex]$\Rightarrow \frac{9y}{9} =\frac{45}{9}[/tex]
⇒ y = 5
The value of y is 5.
Write 72 out of 96 in fraction form
Answer:
[tex]\frac{72}{96} =\frac{36}{48}=\frac{18}{24} =\frac{9}{12} =\frac{3}{4}[/tex]
Step-by-step explanation:
All are correct, but only the first is unmodified, and probably the one you want to use.
72 is out of the number, so it is on top.
The number is out of 96, so it is on the bottom.
Which blood type is independent of gender? A O B AB
blood type A is independent
The down payment is the final payment you make when you are done paying off your loan. true or false?
Answer:
False
Step-by-step explanation:
The downpayment is the first payment you make, an initial deposit.
Does anyone know what this equation is?
96i+245=53
I just need to know what the variable is.
Answer:
i is the variable
Step-by-step explanation:
variable is non number
Find the area of the rhombus.
A=
square units
Answer: A=70 square units
Step-by-step explanation:
The area of a triangle can be found using the formula [tex]A=\frac{1}{2} bh[/tex]
Let 5=h and 7=b
Plug in the values and solve
[tex]A=\frac{1}{2} (7)(5)[/tex]
[tex]A=17.5[/tex]
However, since four of these triangles make up this rhombus, we can multiply the area of one of these triangles by four to find the area of the whole rhombus.
[tex]A=17.5*4[/tex]
[tex]A=70[/tex]
A Sphere has a diameter of 20 centimeters.What would be the volume of the sphere?
Answer:4189.33cm^3
Step-by-step explanation:
To find the volume of a sphere of diameter 20cm
Volume of a sphere=4/3πr^3
R=20/2
R=10cm
V=4/3×3.142×(10cm)^3
V=4189.333cm^3
Side AB of rectangle ABCD is contained within the line y = 2x - 7. What is the slope of the adjacent side, BC?
A. 1/2
B. -2
C. -1/2
D. 2
Rewrite the quadratic equation 2x squared plus 12x plus 1 equal y
Answer:16x+1 = y
Step-by-step explanation:
2x squared is basically 2x times 2x which is 4x. So now that you eliminated that you have 4x+12x+1 = y . Now you have to group like terms. 4x+12x= 16x. So now you have 16+1 = y.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation below.
–2(bx - 5) = 16
The value of xin terms of b is
The value of x when bis 3 is
Answer:
If b is 3, x=-1
Step-by-step explanation:
-2(3x-5)=16
use distributive property
-6x+10=16
take 10 away from both sides
-6x=6
divide both sides by -6
x=-1
The value of x in terms of b is given by equation x = -3/b
The value of x when b = 3 , is x = -1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The given equation is:
-2(bx - 5) = 16
To solve for x in terms of b, we need to isolate x on one side of the equation. We can start by distributing the -2 on the left-hand side:
-2bx + 10 = 16
Next, we can subtract 10 from both sides:
-2bx = 6
Finally, we can divide both sides by -2b to solve for x:
x = -3/b
So the value of x in terms of b is -3/b.
To find the value of x when b is 3, we can substitute b = 3 into the equation we just found:
x = -3/b = -3/3 = -1
Hence , the equation is solved and when b is 3, the value of x is -1.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
which even definition corresponds to exactly one outcome of the experiment?
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
There is six sides die :
So, the number of outcomes will be
1,2,3,4,5,6.
There is a card with numbers :
1,2,3,4,5,6,7,8,9,10.
We need to find the event corresponds to exactly one outcome of the experiment.
According to options:
A)Both numbers are 5s.
So, there is exactly one event regarding both numbers are 5's. i.e. (5,5).
B) Neither number is a 5.
There is more than one event having not a 5.
Like (1,1),(1,2) ..........
C) The sum of the numbers is 3.
It can be (1,2),(2,1).
so, there is having two events regarding the sum of the numbers is 3.
D) One of the numbers is a 3.
It can be (3,1), (3,2), (3,4)......
So, we can see that there is more than one event corresponds to one of the numbers is a 3.
Hence, Option 'A' is correct.
Consider the following circle with center at point O.
Circle O with points R, U, S and T on the circle. Segments SR and TU pass through point O. Segment RT is also shown in the diagram.
Identify one radii, one diameter, and one chord of the circle. Justify your answers.
The radius of the circle are OR, OT, OS and OU.
The diagram, the diameter of the circle are TU and RS.
The chord of the circle is TR.
Given:
Given that the circle O has the points R, U, S, and T on it. Point O is traversed by segments SR and TU. The diagram also includes segment RT.
We must determine the circle's radii, diameter, and chord.
The circle's radii are as follows:
A circle's radius is the line that connects the circle's center to its perimeter.
The radius of the circle is represented by the letters OR, OT, OS, and OU in the diagram.
Circle circumference:
The diameter of a circle is the straight line that runs through its center and has its ends on the circle.
As a result of the diagram, the circle's diameters are TU and RS.
The circle's chord is:
A circle chord is a straight line with endpoints on the circle.
As a result of the diagram, the circle's chord is TR.
Solve for x in the rectangle.
The solution is x= _ units.
The attachment is the rectangle
OMG 25 POINTS!!!! HURRY AND GET SOME BRAINLIEST But MAKE SURE ANSWER IS RIGHT OR ILL REPORT YOU!!!!
Which statement best describes the association between variable X and variable Y?
moderate positive association
perfect positive association
moderate negative association
perfect negative association
The correct answer is the fourth option.
Given is a scatter graph with points marked on the graph. The x axis shows the dependent variable and y axis the independent variable
From the graph we see that there seems to be a linear relationship but not fully perfect. Because so many points deviate from the line we can only say that there is a moderate association.
Whenever x increases y increases also the linear regression line of fit has a positive scope.
Hence there is a positive association between variable x and variable Y.
Anyone who can do this fast I will give brainliest to or however you spell it I’m being timed soo :)
Answer:
Closed circle on 0.96, closed circle on 0.94, closed circle on 0.92
In centimeters, what is the unknown length in this right triangle?
67cm
60 cm
Answer:
Since April 2020 wow
Step-by-step explanation:
How many triangles can you construct with the angle measures of 50, 70, and 100?
Answer:
0
Step-by-step explanation:
You can't construct any triangles with those angles. Because when you add all the angles of a triangle, it has to add up to 180. But when we add 50,70, and 100, it equals 220. So you can't construct any triangles.
Hope this helps. (If it does, please mark me brainliest)
What is the equation of a circle with radius 4 and center (0,8)?
Answer:
x^2 + (y-8)^2 = 16
Step-by-step explanation:
1. Start with the formula for a circle:
(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius
2. Plug in values for the center coordinates and the radius:
(x-0)^2 + (y-8)^2 = 4^2
3. Simplify:
x^2 + (y-8)^2 = 16
What was the mean high temperature in may for each city, rounded to the nearest degree?
Pls answer fast whoever answers first will be mark the brainliest ❗❗
Answer:1st one:87
2nd one:85 i think this is right