Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is
The value of ac for the quadratic expression 9x^2 - 16 is -144. The value of b is 0, as it represents the coefficient of x, which is absent in the expression. Therefore, we do not need two numbers that multiply to ac and add to b; the expression is factored using the difference of squares as (3x + 4)(3x - 4).
Explanation:The polynomial 9x2 − 16 is a quadratic expression that can be factored using the difference of squares method. To answer the questions:
The value of ac is the product of the coefficient of x2 and the constant term, which in this case is 9 × (− 16) = − 144.The value of b in the standard form ax2 + bx + c is the coefficient of x, which is 0 since there is no x term in the original expression.To factor, we need two numbers that multiply to ac (which is − 144) and add up to b (which is 0). However, this step is not applicable as the polynomial is already in the form a2 − b2 and will be factored as a difference of squares.The factored form of the polynomial is (3x + 4)(3x − 4).A school offers two summer sports: lacrosse and tennis. There are 438 students in all. Of this number, 52 participate in lacrosse and 94 participate in tennis. Nobody does both. What fraction of the students participate in a sport? Write the fraction in simplest terms.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We have been given that there are 438 students in all. Of this number, 52 participate in lacrosse and 94 participate in tennis.
Our required fraction would be:
[tex]\frac{\text{Students participant in lacrosse + Tennis}}{\text{Total students}}[/tex]
[tex]\frac{52+94}{438}[/tex]
[tex]\frac{146}{438}[/tex]
[tex]\frac{146*1}{146*3}[/tex]
[tex]\frac{1}{3}[/tex]
Therefore, our required fraction would be [tex]\frac{1}{3}[/tex].
i need help please
what is the missing reason in the proof
Matt needs to make $230 for a trip. He plans on selling 16 bags of snacks to raise money. The lowest acceptable price for him to sell these to make his goal is $______.
How many multiples of 5 are there between 81 and 358?
358-81 = 277
277/5 = 55.4
there are 55 multiples
If angleA and angleB are supplementary angles, and angleA = 63°, find the measure of angleB. A. B = 27° B. B = 63° C. B = 117° D. B = 153°
Answer: C. B=117°.
Step-by-step explanation:
We know that if a pair of angle are supplementary then their sum is added up to 180 degrees.
Given : angle A and angle B are supplementary angles.
i.e [tex]\angle{A}+\angle{B}=180^{\circ}[/tex]
Also, angle A = 63°
i.e [tex]63^{\circ}+\angle{B}=180^{\circ}[/tex]
i.e [tex]\angle{B}=180^{\circ}-63^{\circ}[/tex]
i.e [tex]\angl{B}=117^{\circ}[/tex]
Hence, the measure of angleB is 117°.
Of a group of 500 people, 60 are fit enough to climb Mount Shasta in California. The group has 300 women and 200 men. 12% of the men are fit to climb the mountain. What is the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta?
Answer and Step-by-step explanation:
t is 59/125. Allow me to disclose to you why P(Man∪Fit)=P(Man)+P(Fit)−P(Man∩Fit)=200500+60500−24500=59125
What would be an appropriate measure to describe the size of a soccer field?
tons
square feet
cubic centimeters
miles
Eduardo is 16. Eduardo’s dad takes him and his younger sister to a soccer match. Tickets are $17 for adults and $13 for children (18 and under). Write an expression for the total cost of the tickets. What is the total cost of the tickets?
What is the simplified expression for
Select one:
a. 3 over 2
b. 3 to the power of 2 over 2 to the power of 2
c. 3 to the power of 2 over 2
d. 2 to the power of 4 over 3
Marco has room for 15 more minutes of songs on his mp3 player. he has 3 songs to upload with the following lengths: 5.15 minutes,3.8 minutes, and 4.4 minutes. After uploading all three songs, about how many minutes will he have left?
Answer: I had just read a comment you put on someone else question All you need to know is that stop being a what ever it is not letting me tip the sudmit the word and telling others to losing in class when you don’t.As you said my friend Pay attention in class “you don’t need a crazy website to tell you all your answers” send the person you said to pay attention in class the link to all your questions and this comment.Hope you learn you lesson in class about multiplication and division.I also hope you learned you lesson on not to embarrass people and if you say i did not to bad.It is people like you ever day who are lairs.
Step-by-step explanation:
A block of wood is 0.2 meters (m) by 0.1 m by 0.5 m. find its dimensions in centimeters
How did I get a=60 as an answered?
Describe how the graph of each function compares with the graph of the parent function y=log5 x+1
A: It translates the graph to the right 1 unit.
B: It translates the graph to the left 1 unit.
C: It translates the graph up 1 unit
D: There is no change in the graph.
C- it translates the graph up 1 unit.
Answer:
C
Step-by-step explanation:
[tex]y=log_5(x)+1[/tex]
Here parent function is [tex]y=log_5(x)[/tex]
If any number is added or subtracted at the end of parent function then we we move up or down
when we compare [tex]y=log_5(x)+1[/tex] with parent function , +1 is added at the end.
So the graph will be translated 1 unit up
Answer : C: It translates the graph up 1 unit
Find the square root of 25.
The product of 3 and the sum of 11 and a number
To find the product of 3 and the sum of 11 and a number, you can use the expression 3 * (11 + x), where x represents the unknown number.
Explanation:The product of 3 and the sum of 11 and a number can be expressed as 3 * (11 + x), where x represents the unknown number. To simplify the expression, we can perform the addition first: 11 + x. Then, we multiply the sum by 3: 3 * (11 + x). This gives us the final expression for the product.
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An _____ angle of a triangle is equal to the sum of the two remote interior angles
Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without the tax?
For the cost of the cooler, solve:
106% of cost of cooler = $7.95
To find the total bill in terms of the cost of the cooler :
100% of cooler price
+ 6% of cooler price (tax)
--------------------------------------------
106% of cost (7.95)
Now, solve this problem.
106% of $ _______ = $7.95
Answer:
I JUST did the test and got it right so the answer is:
Step-by-step explanation:
7.95
If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangle in terms of x?
A. x units
B. x√2 units
C. x√3 units
D. 2x units
The length of one leg of the large right triangle in terms of x is; B. x√2 units
How to find the length of a triangle?The smaller triangles ABD and BDC are isosceles triangles. Thus;
AD = BD = x
DC = BD = x
The hypotenuse AC is equal to;
AC = AD + DC
AC = x + x
AC = 2x
Using Pythagoras theorem;
AC² = AB² + BC²
AC² = 2AB²
AB = AC/√2
AB = 2x/√2
Rationalizing the denominator, we have;
AB = x√2
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5x-2=3x+8 must find what X is equal to
In the diagram which we must be true for point P to be the centroid of the triangle
10 1/2 pages are written in 4 hours. How many pages per hour?
Help me with this math man
If you knew the length of the opposite side and the adjacent, which formula would you use to determine the length of the hypotenuse
Patricia is separating 16 soccer cards and 22 baseball cards into groups each group have the same number of cards madk and each group only have one kind of sports card what is the greatest number of cards she can put in each group how many groups for each type of card will be
which system of inequalities is graphed below
Answer:
y > x² - 6
y < x² + 2 Option A
Step-by-step explanation:
Given that,
Two parabolic inequality's graph is given.
If we graph inequality y > x² - 6
it shaded the upper part of graph because greater than sign is given.
If we graph inequality y < x² + 2
it shaded the lower part of graph because less than sign is given.
So, common shaded part is mid of both the graph.
Final answer is:
y > x² - 6
y < x² + 2
That's the final answer.
−7x−50≤−1 AND−6x+70>−2
wrong it would be -7 greater than sign x another greater than sign 12
After solving the compound inequalities we get
[tex]-7\leq x<12[/tex]
Given :
[tex]-7x-50\leq -1 and -6x+70>-2[/tex]
solve each inequality using algebraic operations
[tex]-7x-50\leq -1\\-7x\leq -1+50\\-7x\leq 49\\Divide \; by \; -7\\x\geq -7[/tex]
Now we solve the next inequality
[tex]-6x+70>-2\\-6x>-2-70\\-6x>-72\\Divide \; by \; -6\\x<12[/tex]
From both inequalities we get
[tex]-7\leq x<12[/tex]
Solution for the given inequality is [tex]-7\leq x<12[/tex]
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TRUE OR FALSE
If a quadrilateral is a square, then the quadrilateral has four right angles.
Which of the following best represents √39?
A number between:
A.3 and 4
B.6 and 7
C.7 and 8
D.8 and 10
When Lou started his current job, his employer told him that he would receive two vocation days for each full year he worked. How long will it take him to earn 18 paid vacation days?
By solving a linear equation, we will see that he needs to work for 9 years.
How long will take Lou to earn 18 vacation days?We know that for each year that he works, he gets 2 vacation days.
So we can write the linear equation:
y = 2*x
Where y is the number of vacation days, and x is the number of years that he worked.
We want to find the value of x such that y = 18, then we need to solve:
18 = 2*x
Solving for x w get:
18/2 = x = 9
This means that to get 18 vacation days, he needs to work for 9 years.
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