How to solve (x+7)(x-9)>0
Answers
9514 1404 393
Answer:
(x < -7) ∪ (x > 9)
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero.
x +7 = 0 ⇒ x = -7
x -9 = 0 ⇒ x = 9
When this is expanded, we can see that the leading coefficient is positive.
x² -2x -63 > 0
This means the parabola opens upward. It will be greater than 0 for x-values to the left of the left zero, and to the right of the right zero. (It is less than zero between those values.)
The solution is x < -7 or x > 9.
_____
In general, for polynomial inequalities, look for the locations of the zeros. The sign of the polynomial will have the sign of the leading coefficient for values of x to the right of the right-most zero. (Here, positive for x > 9.) As you progress farther to the left along the number line, the polynomial changes sign at each zero.
Here, the polynomial becomes negative between the values x=9 and x=-7. Then it is positive again for x < -7.
Related Questions
True or false: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.
Answers
Answer:
The answer to the above question would be true
65+ ? -15=65 Find missing number
Answers
Answer:
65 + 15 - 15 =65
Step-by-step explanation:
pls give brainlist if this was helpful ^^
2) Shannon and Lisa start running at the same time
in the same direction
3
Shannon can run 1 - miles in 1/2 of an hour.
4
2
Lisa can run 2 1/2 miles in of an hour.
3
They both continue running at a constant rate.
WIN
How far apart will they be after 3/4 of an hour?
Answers
Answer:
0.1875 miles (or 3/16 of a mile)
Step-by-step explanation:
In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.
1.75*2 = 3.5
2.5 * 3 = 7.5, 7.5/2 = 3.75
Now, I divide the whole hours into quarters
3.5/4 = 0.875
3.75/4 = 0.9375
Multiply both values by 3 to get the distance after 3/4 of an hour
0.875 = 2.625
0.9375 = 2.8125
remove the smaller value from the larger value
2.8125 - 2.625 = 0.1875
I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!
(PLEASE ANSWER FAST)
Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?
(PLEASE ANSWER FAST)
Answers
Answer: yx (4)(12) / 8
Step-by-step explanation:
Answer:
1. What is an inverse proportion equation that represents this situation?
y=48/k
2. How many crackers will each person get if 8 people are sharing the crackers?
6 crackers
Step-by-step explanation:
1. What is an inverse proportion equation that represents this situation?
The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.
When there are 4 people, each person gets 12 crackers:
y=k/x
12=k/4
48=k
Therefore, our equation is y=48/x
2. How many crackers will each person get if 8 people are sharing the crackers?
y=48/x, where y is the number of cracker and x is the number of people.
y=48/8
y=6
Find an equation of the line that goes through the points (-9,62) and (5,-22).
Answers
Answer:
y = -6 x + 8 (I think)
Step-by-step explanation:
-8 * f(0) + 4 * g(-8)
Answers
The value of the expression -8 * f(0) + 4 * g(-8) is -60
Complete questionIf the following equations represent the functions f(x) and g(x).
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate the value of -8 * f(0) + 4 * g(-8)
How to determine the value of the expression?We have:
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate f(0) and g(-8)
f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15
Evaluate
f(0) = 7 and g(-8) = -1
Substitute the above values in the following expression
-8 * f(0) + 4 * g(-8)
So, we have:
-8 * 7 + 4 * -1
Evaluate
-60
Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60
Read more about functions at:
https://brainly.com/question/15602982
#SPJ1
Answer:
-32
Step-by-step explanation:
khan academy said so
Please help mee (don't send a link)
Answers
Answer:
a
Step-by-step explanation:
the sign flips when you divide or multiply one
Answer:
B.
Step-by-step explanation:
4x-8>(with a line underneath)12
-8 -8
4x>(with a line underneath)12
/4 /4
x>(with a line underneath)3
It stays the same because you aren't dividing or multiplying by a negative. Only a negative will cause you to flip the inequality sign.
Will give brainliest!! PLEASE HELP NEED THIS NOW DUE TODAYYY!!!
My math students challenged me, their math teacher, to play a dice game with them. They will give me 10 cents for each odd sum I roll with two dice, but I have to give them 10 cents for each even sum they roll with the two dice. I do not think this game is fair. I think I am going to get cheated! I noticed that I cannot roll one of my odd numbers: 1!
Should I play this game with the students? Use your mathematical thinking to convince me whether or not this is a fair game.
Answers
Answer: this game is honestly good for the kids u teaching them how to count by roulling the dice
Step-by-step explanation:
Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.
-12/5
-13/5
-5/12
Answers
Answer:
Step-by-step explanation:
Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.
-12/5
-13/5
-5/12
Will give brainlyist
what is 6x7(7x6)-10
Answers
Answer:
1754
Step-by-step explanation:
Hail Hydra!
Answer:
I think it's 1,754
Step-by-step explanation:
I'm not 100% sure, sorry if it's wrong.
PEMDAS
Parenthesis first: (7x6=42)
Next: 6x7x42= 1,764
Lastly: 1,764-10=1,754
1,754
If this helped, then please give me crown, rate, and heart.
Thank you! ^-^
Of segments CDF and CED, which of the segments has a greater area based on the given information? Justify with your work.(Do not use sin)
Circle A has radius 10m and m angle CAD=90 degrees
Circle B has radius 12m and m angle CBD=60degrees
Answers
Answer:
Segment CED has greater areaStep-by-step explanation:
Circle AArea of ΔCAD, right triangle:
A = 1/2*10*10 = 50 m²Area of the sector CAD:
A = 1/4*π*10² = 78.54 m²Area of segment CED:
A = 78.54 - 50 = 28.54 m²Circle BArea of ΔCBD, equilateral triangle:
A = √3/4*12² = 62.36 m²Area of sector CBD:
A = 1/6*π*12² = 75.40 m²Area of segment CFD:
A = 75.40 - 62.36 = 13.04 m²Compare the areas of the segments:
CED = 28.54 > CFD = 13.04Answer:
for 1 st
area of segment CAD=90/360×π×10²=78.54m²
for second
area of segmentBCD=60/360×π×12²=75.4m²
so
CAD has greater area
Using the following data set calculate the mean 9,14,14,9,20,6,8,19,17,13,9
Answers
Answer:
12.54
Step-by-step explanation:
When finding the mean, first you add all the numbers in the data:
9+14+14+9+20+6+8+19+17+13+9=138
And then you divide it by the following numbers in the set. In this data set, since there are 11 numbers, you would divide 138 by 11.
138\11=12.5454545
So the answer would be 12.54 if your rounding to the nearest hundred. If your rounding it by a whole number, it would be 13.
PLEASE it’s due tonight help me! All help will be greatly appreciated.
Answers
Answer:
233
Step-by-step explanation:
2ed
4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?
Answers
Answer:
Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.
Drag the uses of computers into the order in which they were developed
Answers
I need it please I will give 20
Answers
the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
Answers
These two polygons are similar.
4
2
16
15
w
w = [?
]
Enter
Answers
Answer:
w = 12
Step-by-step explanation:
Answer:
W=9
Step-by-step explanation:
[tex] \frac{2}{6 } = \frac{4}{12} = \frac{3}{9} [/tex]
so W= 9
Find the perimeter and area of the polygon shown below.
P= 72 feet, A = 300 square feet
O P = 56 feet, A = 308 square feet
P= 87 feet, A = 360 square feet
P = 72 feet, A = 308 square feet
Answers
Answer:
A. P = 72 feet, A = 300 square feet
Step-by-step explanation:
✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft
✔️Area of the polygon = area of a trapezoid = ½(a + b)h
Where,
a = 16 ft
b = 16 + 8 = 24 ft
h = 15 ft
Substitute
Area = ½(16 + 24)15
Area = ½(40)15
Area = 300 ft²
I will mark as brainliest
Answers
The base of a rectangular prism has a length of 36 centimeters and a width of 29 centimeters. If the volume of the rectangular prism is 7,830 cubic centimeters, how long is the HEIGHT of the prism?
Answers
Answer:
7.5
Step-by-step explanation:
you think about the way you would normally solve it but a bit backwards therefore multiply 36x29 and that equals 1,044 and divide that from 7,830 and thats 7.5 multiply to check
write and equation for the trend line shown
Answers
segegeuryryyututtetutuuipyuyibysttuututuututututueuttutupexjuyjjplanatio
PLEASE ANSWER QUICK!
Simplify the expression 7(2g+7)-4
Answers
I need help with number 3
Answers
Answer:
C
Step-by-step explanation:
60+70=130
M=50
K=130
m+k=180 it all adds up
Irene is making bags of trail mix for hiking club. She will use 22 ounces of walnuts, 11.2 ounces of
almonds, and 12.3 ounces of cashews. This amount makes 25 bags of trail mix. How many
ounces are in each bag?
Please help :/ if i dont finish theses questions i will go to summer school & i dont wanna go there
Answers
Answer:
In each bag there will be 1.82 ounces of mixture.
Step-by-step explanation:
Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:
(22 + 11.2 + 12.3) / 25 = X
45.5 / 25 = X
1.82 = X
Thus, in each bag there will be 1.82 ounces of mixture.
A car presently valued at 12 000 depreciates at 10 % per annum .What will be the value of the car one Year later ?
Answers
Answer:
10'800
Step-by-step explanation:
Car initial price= 12000
Depreciation= 10% or 0.10 per year
Car final price= Initial price-(Initial price/depreciation)
Car final price= 12'000-(1'200)
Car final price= 10'800
For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point. (2, -45°)
Answers
(-3,-120°)
(-3,240°)
i think this is correct
Help I need nhelp on this question and no links please
Answers
Image of answer
I hope that helps
- 4018669
Mrs. James selected 4 3/4
pounds of grapes. The grapes
cost $2.50 per pound. How
much will Mrs. James pay for
the grapes?
A) $7.25
B) $11.88
C) $10.75
D) $16.50
PLEASE HELP
Answers
Answer:
B. $11.88
Step-by-step explanation:
4 · 2.50 = $10
3/4 · 2.50/1 = about $1.88
10 + 1.88 = $11.88
Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 5 oz of chips and drank 1 cup of soda for a
total of 650 mg of sodium. Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium. How much sodium is
in 1 oz of chips and how much is in 1 cup of soda?
Answers
Answer:
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of mg of sodium in 1 oz of chips.
y is the number of mg of sodium in a cup of soda.
Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.
This means that:
[tex]5x + y = 650[/tex]
Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.
This means that:
[tex]x + 5y = 250[/tex]
From the first equation:
[tex]y = 650 - 5x[/tex]
Replacing in the second
[tex]x + 5(650 - 5x) = 250[/tex]
[tex]x + 3250 - 25x = 250[/tex]
[tex]25x = 3000[/tex]
[tex]x = \frac{3000}{25}[/tex]
[tex]x = 120[/tex]
[tex]y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50[/tex]
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
