f(x) = (2x − 3)(x + 6)(5x + 6) has zeros at x = -6, x = -6/5 and x =3/2.
What is the sign of f on the interval - 6
Answers
Answer:
Step-by-step explanation:
f ( - 7 ) = [ 2 ( - 7 ) - 3]( - 7 + 6 )[ 5 ( - 7 ) + 6 ] = ( - 17 )( - 1 )( - 29 ) < 0 , Negative
f ( - 5 ) = [ 2 ( - 5 ) - 3]( - 5 + 6 )[ 5 ( - 5 ) + 6 ] = ( - 13 )( + 1 )( - 19 ) > 0 , Positive
f ( - 1 ) = [ 2 ( - 1 ) - 3]( - 1 + 6 )[ 5 ( - 1 ) + 6 ] = ( - 5 )( + 5 )( + 1 ) < 0 , Negative
The answer is (A) " f " is always POSITIVE
Related Questions
i need to show the work on this!!
Answers
Answer:
y = 37
Step-by-step explanation:
the 3 angles lie on a straight line and sum to 180°
sum the 3 angles and equate to 180
y + 29 + 40 + 2y = 180 , that is
3y + 69 = 180 ( subtract 69 from both sides )
3y = 111 ( divide both sides by 3 )
y = 37
pls answer!!!!! write a rational number in fraction form that is equivalent to 2.555 (this is a repeating decimal)
Answers
————— = —— (simplest form)
(1000 ; 5) 200
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2555/1000 is also equal to 2 111/200 when expressed as a mixed number.
Answer - { 511/200 } or { 2555/1000 }
mixed number { 2 111/200 }
davis babysat for 15hours and charged $5 per hour. he will donate %15 percent of what he earned for charity what dollar amout wil david to donate
Answers
Answer:
11.25
Step-by-step explanation:
I hope you have a good day
I need help on this question and I need to show the work!
Answers
Answer:
b.8
Step-by-step explanation:
6x+2+40+90=180
6x+132=180
6x=180-132
6x=48
x=48/6
x=8
What is the solution
X^2-4x=-1 ?
Answers
Answer:
Factor x2−4x
x2−4x
=x(x−4)
Answer:
x(x−4)
Step-by-step explanation:
Answer:
x (x-4)
Step-by-step explanation:
pls help asap I’ll mark BRAINLIEST DONT answer if your not sure, this affects my whole grade
Answers
Answer:
2.5
Step-by-step explanation:
Add up the 5s of the left side first and you will get 25. Then you add up the 5s on the otherside and you will get 10. Subtract the 10 from the 25 to get 15. Finally, divide 15 by 6 to get the weight of each triangle, 2.5
1: 5 x 5 = 25
2: 5 x 2 = 10
3: 25 - 10 = 15
4: 15/6 = 2.5
The weight of each triangle is 2.5
Have an amazing day!
PLEASE RATE!!
Answer: 2.5
Step-by-step explanation:
What we know:
Both sides need to be equal, and one side already has a constant defined value.
That value is 25 (units)
How to solve:
By using a simple algebraic equation, we can find the value of a triangle's weight. X will represent a square's weight, and y will represent a triangle's weight.
Process:
Set up equation 5x = 2x + 6y
Substitute 5(5) = 2(5) + 6y
Simplify 25 = 10 + 6y
Cancel out -10 -10
15 = 6y
Separate variable /6 /6
Solve 2.5 = y
Solution: y (triangle weight) = 2.5
You can check this by adding 2.5 6 times (15) to 5 2 times (10). This will equal 25, which would balance out the other side
Nathan buys a large bucket of popcorn at the movie theater.The bucket holds 20 1/4
cups. If he shares the popcorn equally among 3 people. How much popcorn will each person get?
Answers
Answer:
Each person will get 6 and 3/4 cups of popcorn
Step-by-step explanation:
20.25 divided by 3 equals 6.75 which is 6 3/4
You have 5 1/3 foot pipe and you want to cut it into pieces. How many 2/3 pieces could you make?
Answers
Answer:
5.1 pieces
Step-by-step explanation:
You have to divide the measure of foot pipe by the measure of how many pieces to make. So,
1) 5 1/3 / 2/3
2) Simplify the mixed number, 5 1/3, into an improper fraction
3) 17/5 / 2/3
4) 5.1
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer/Explanation:
The answer is B!
A mixed number from an improper fraction is when you take that improper fraction and fix it into whole numbers. It's kind of like a decimal but with fractions.
Examples:
6/4 = 1 and 2/4 or 1 and 1/2
9/2= 4 and 1/2
17/6= 2 and 5/6
Make sense?
improper fraction into a mixed number
1. divide the numerator by the denominator
2. the quotient becomes the whole number
3. the remainder becomes the numerator
4. the denominator remains the same.
12 : 5 = 2 remainder 2
[tex]\tt \dfrac{12}{5}=2\dfrac{2}{5}[/tex]
What is the equation of a horizontal line that passes through the point (3,-5)?
Answers
your answer for this question is y=c hope this helps
Consider the polynomial 3x3 - 2x + 7.
1) How many terms does this polynomial have?
2) What is the coefficient of the second term?
1) The polynomial has five terms.
2) The coefficient of the second term is - 2.
1) The polynomial has five terms.
2) The coefficient of the second term is x.
1) The polynomial has three terms.
2) The coefficient of the second term is - 2.
1) The polynomial has three terms.
2) The coefficient of the second term is x.
Answers
Answer:
1. Three terms 2. the coefficient is x
Step-by-step explanation:
1) The polynomial has three terms.
2) The coefficient of the second term is -2.
What is polynomial?"It is composed of variables, constants, exponents, and combined using the mathematical operations such as addition, subtraction, multiplication."
For given question,
We have been given a polynomial [tex]3x^3 - 2x + 7[/tex]
For given polynomial, the total number of terms = 3
The second term of given polynomial is -2x.
So, the coefficient of the second term is -2.
Therefore, 1) The polynomial has three terms.
2) The coefficient of the second term is -2.
Learn more about the polynomial here:
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Help me rn please ty
Answers
The table represents the multiplication of two binomials.
A geometric model with 2 columns and 2 rows. The first column is labeled 3 x with entries A, C. The second column is labeled 5 with entries B, 10. The first row is labeled negative x with entries A, B. The second row is labeled 2 with entries C, 10.
What is the value of A?
Answers
Answer:
i think the answer is b
Step-by-step explanation:
Does anybody know the answer ASAP???
Answers
Answer:
ø=14.48⁰ and. y=75.52⁰
Explanation:
angle thetha = 14.48⁰
sinø=opposite/hypotenuse
sinø=12/48
ø=sin¹(12/48)
ø=14.48
y=180⁰-(14.48⁰+90⁰)
y=75.52⁰
sum of angles in a triangle = 180⁰
Grayson and Ty went on a fieldtrip to the Rocky Mountains. After a strenuous climb up and down a very large mountain they wondered how high they had climbed. In order to find out they stood and point A and sighted an angle of elevation 60 degrees from the ground to the top of the mountain, then walked up 400 ft to point B and sighted an angle of elevation of 50 degrees. What is the height of the mountain Grayson and Ty climbed?
Answers
10 less than the product of 4 and z
Answers
Answer:
4z-10
Step-by-step explanation:
Hope this helped idek if its an option but so srry if its wrong.
hope this helped! :)
A square and an equiangular triangle have the same perimeter. If the area of the square is 144 cm2, what is the length of one side of the triangle
Answers
What is the volume of the figure below if a = 9 units and b = 7 units?
A.
364.5 cubic units
B.
1,296 cubic units
C.
1,012.5 cubic units
D.
760.5 cubic units
Answers
Answer: C
Step-by-step explanation:
can someone pls help
Answers
Answer:
x=5
Step-by-step explanation:
An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.
28% of 63 is what? i'm so confused right now
Answers
28% x 63
28 over 100 x 63 over 1
=
17.64
Answer:
[tex]\displaystyle 17\frac{16}{25}[/tex]
Step-by-step explanation:
[tex]\displaystyle 28\%\:of\:63 \\ \\ \frac{7}{25} \times 63 = \frac{441}{25} \\ \\ \boxed{\boxed{17\frac{16}{25}}}[/tex]
To turn 63% into a fraction, write it as a fraction over 100, then simplify it:
[tex]\displaystyle \boxed{\frac{7}{25}} = \frac{28}{100}[/tex]
I am joyous to assist you at any time.
Factor using the GCF. 10x^2+15x-5
Answers
Answer:
5
Step-by-step explanation:
srry if im wrong
The original price of a dress is $39.99. Julie buys the dress when it is on sale for 10% off its original price. Two weeks later, Mindy buys the same dress when it is now on sale for 20% off its original price.
How much more money did Julie spend than Mindy on the dress?
$ [blank] −−−−−−
Enter your answer as a number. If it is a decimal, round it to the nearest whole number, like this: 42
Answers
Answer: julie spent 4 more dollars than mindy
Step-by-step explanation: julie spent 36 dollars in the dress while mindy spent 32 dollars
Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
What is off/Discount?Off/Discount is an amount that is subtracted from the regular price of an item.
The original price of dress [tex]= \$39.99[/tex]
Julie buys the dress for [tex]10\%[/tex] off at its original price.
So,
Julie buys the dress for [tex]= 39.99-(39.99*\frac{10}{100} )[/tex]
[tex]= \$35.991[/tex]
Mindy buys the same dress for [tex]20\%[/tex] off at its original price.
Mindy buys the same dress for [tex]= 39.99-(39.99*\frac{20}{100} )[/tex]
[tex]=\$31.992[/tex]
So,
Julie spend more money than Mindy on the dress [tex]=35.991-31.992[/tex]
[tex]=\$3.999[/tex]
[tex]=\$4[/tex]
Hence, we can say that Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
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Factor completely 3x2 − 11x 8. (x 4)(3x − 2) (x − 2)(3x − 4) (x 1)(3x − 8) (x − 1)(3x − 8).
Answers
The factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]
What will be the factors of the given equation?When we split the equation into two groups we will get
[tex]3x^{2} -3x-8x+8[/tex]
[tex]3x(x-1)-8(x-1)[/tex]
Now taking (x-1) common
[tex](3x-8)(x-1)[/tex]
Thus the factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]
To know more about the factors of quadratic equation follow
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can someone please help me ;w; i would appreciate it
Answers
Answer:
Leg: BC (or CB)
Leg: AC (or CA)
Hypotenuse: AB (or BA)
Answer:
Leg 1: BC (CB) 3cm
Leg 2: AC (CA) 4cm
Hypotenuse: AB (BA) 5cm
Step-by-step explanation:
At the grocery store there are two different options for buying Coke. You can buy a 12 pack for $5.49 or an 18 pack for $8.59. Which is the best buy? Justify your answer
Answers
Step-by-step explanation:
The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.
Una compañía de transporte público cobra " "x" " por transportar cierta mercancía 20 kilómetros y " "z" " por transportar la misma mercancía 25 kilómetros. A) Determine la relación entre la tarifa total y la distancia recorrida, suponiendo que es lineal. B) ¿Cuál es la tarifa mínima por transportar esta mercancía? C) ¿Cuál es la cuota por cada kilómetro que la mercancía es transportada?" x = $190. 00 z = $242. 0. Prueba con las sugerencias que aparecen más abajo o introduce una consulta nueva
Answers
Utilizando los dos puntos dados, veremos que la relacion lineal es:
A) y = ($10.4 /km)*x -$18A) y = ($10.4 /km)*x -$18B) -$7.6C) $10.4 /km¿Como encontrar la relacion lineal?Una ecuación lineal se escribe como:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Sí sabemos que una linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente va a ser:
a = (y₂ - y₁)/(x₂ - x₁).
Aca tenemos los dos puntos:
(20km, $190)
(25 km, $242)
Entonces la pendiente será:
a = ($242 - $190)/(25km - 20km) = $10.4 /km
y = ($10.4 /km)*x + b
Para obtener el valor de b, usamos uno de los puntos. Evaluando en x = 20km deberiamos obtener y = $190, entonces:
$190 = ($10.4 /km)*20km + b
$190 = $208 + b
$190 - $208 = b = -$18
Entonces la ecuación es:
y = ($10.4 /km)*x -$18
B) La tarifa minima es lo que obtenemos con x = 1 km, entonces es:
y = ($10.4 /km)*1 km - $18 = -$7.6
Notar que da un valor negativo, lo que indica que la relación quizas no es lineal.
C) La cuota por kilometro es la pendiente de la relación lineal, en este caso será: $10.4 /km.
Sí quieres aprender más sobre lineas, puedes leer:
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Select the mathematical sentence that is true.
A. 3 (7-3 + 5 < 6 + 2 1
B. 3 (7 - 3) + 5 s 6 + 2 1
C. 3 (7 - 3) + 5 = 6 + 2 1
D. 3 (7 - 3) + 5 > 6 + 2 1
High amount of points.
Answers
Answer: a
Step-by-step explanation:
Answer:
A. 3(7-3) < 6 + 21
Step-by-step explanation:
A. 3(7-3) < 6 + 21
21-9 < 27
12 < 27
True
B. ??
C. 3(7-3) = 6 + 21
21 - 9 = 27
12 = 27
False
D. 3(7-3) < 6 + 21
21-9 > 27
12 > 27
False
Therefore, the correct answer is A
Hope this helps!
Please help me with this.
Answers
Answer: A
Step-by-step explanation:
Positive, negative, or no relationship
running speed versus time to complete a marathon
Answers
The relationship between the running speed versus time can be positive, negative or none at all.
How to determine the relationshipThe question is incomplete, as the graph or table that measures the running speed versus time to complete a marathon is not given.
As a general rule, we have the following parameters:
If the running speed increases with time, then the relationship is positiveIf the running speed increases as time decreases, then the relationship is negativeIf the running speed do not have a pattern of change with time, then there is no relationshipRead more about correlation at:
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HELPS ME ANYONE IM STUGGLIN
Answers
Answer:
155.7 & 153
Step-by-step explanation:
the only 2 heights under 161
Answer:
161.7 and 163
Step-by-step explanation:
I do not have one sorry,