Factor and find the zeros of the relation. (18 marks)
(a.) y = 6 x^2 + 5x − 4
(b.) y = 4x^2 – 64

Answers

Answer 1

Answer:

(a.)

=(6x^2-3x)+(8x-4)

=3x(2x-1)+4(2x-1)

=(2x-1)(3x+4)

zeros are x=-4/3, x= 1/2

(b.)

=4(x^2-16)

=4(x+4)(x-4)

zeros are x= -4 and x= 4

Step-by-step explanation:


Related Questions

please help me in math

Answers

When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).

The reciprocal of z^-3 would be 1 / z^3.

Hope this helps!! :)

Do the functions in the table represent exponential growth or exponential decay?
Move the options to the spaces to correctly complete the table.
Function
Exponential Growth or Decay?
(x) = 0.5G)
f (x) = 0.9(0.5)*
f (x) = 21(1.6)
FC) = 320(3)

Answers

Decay, decay, growth decay

A bag contains 4 green marbles, 5 yellow marbles and 6 red marbles. What is the
probability of selecting a yellow or red marble? Justify your answer.

Answers

Answer:

11/15

Step-by-step explanation:

P('Y' or 'R') = 5/15 + 6/15 which is 11/15

PLEASE HELP!!! IL MARK BRAINLIEST

Which transformation results in a similar geometric figure rather than a congruent one?
A. Relation
B. Transformation
C. Dilation
D. Rotation

Answers

Answer: C dilation

Step-by-step explanation:

if a(b)^x-c=d then x=?

Answers

Answer:

a

Step-by-step explanation:

a(b)^x=d+c

a(b)^x ÷ a=d+c ÷a(b)^x=d+c ÷alet d+c÷a =u(b)^x=ulogb^u=xlogb^d+c ÷a=x it really helpfull

PLEASE HELP ME THANK U *0*

Find the RATIO and the EXACT VALUE of the given Cos A.​

Answers

Answer:

Step-by-step explanation:

take angle A as reference angle

using cos rule

cos A=adjacent/hypotenuse

cos A=12/13

cos A=0.92

A=cos 23

A=23 degree

for ratio,

cos A=12/13

Cos( A ) = AC / AB [ Ratio ]

Cos( A ) = 12 / 13 [ Ratio ]

Cos( A ) = 0. 92307 [ Exact value ]

which kind of triangle is shown

Answers

Answer:

scalene triangle

Step-by-step explanation:

Step-by-step explanation:

Scalene Triangle bcoz none of the sides are equal

The resale value of a diamond ring when purchased new is $10,000. The ring is expected to gain 12% of its value each year. Which graph shows the predicted value of the ring over time? Use the drop-down menus to complete your answer below.​

Answers

Answer:orange graph k,/ 10,000/ Increases

Step-by-step explanation:

Jamie took a quiz and got 15 questions out of 20 questions right what was his grade percentage?

Answers

Answer:75%

Step-by-step explanation:

15 out of 20 is 75%

around 75 percent is the answer

What is the y-intercept of this line?
A
(3,0)

B
(0,-3)

C
(0,-1)

D
(-1,0)

Answers

Answer:

C. (0,-1)

Step-by-step explanation:

the line passes through the y-axis at the point (0,-1) which makes it the y- intercept.

78215431 in international system
78215431 in indian system

Answers

International - seven eight million two hundred fifteen thousand four hundred thirty one

Indian - seven crore eighty two lack fifteen thousand four hundred thirty one

78'215'431

7'82'15'431

Please Help!! It would mean a lot :)

Answers

The answer would be A because you are adding 7 into the value of the sum of (2m)

A line with a slope of 1 passes through the point (6,2). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y = x - 4

Step-by-step explanation:

Given:

Passes through (6, 2)

m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = 1(x - 6)

y - 2 = x - 6

y = x - 4

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.

Answers

hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch

The length of the hypotenuse in a right triangle is 12 inches.

What is the Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.

Let the length of the hypotenuse be x.

Here, x²=8²+9²

x²=64+81

x²=145

x=√145

x=12.04

x≈12 inches

Therefore, the length of the hypotenuse is 12 inches.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ6


The graph shows the relationship between the number of granola bars and amount of calories per bar.

Answers

part a y= x × 100

Step-by-step explanation:

1 bar is 100 calories so you would times it by 100 for every bar

What minus 9 equals 11

Answers

Answer:

20

Step-by-step explanation:

20 - 9 = 11

I hope this helps

Answer:

20

Step-by-step explanation:

Call the number you're trying to find  n.

"What" becomes  n.

n - 9 = 11

To "undo" the subtraction and reveal the value of  n ,  ADD 9 to both sides of the equation.  (Addition is the inverse operation of subtraction.)

n = 11 + 9 = 20

THE SUM OF A NUMBER, X
AND 9 is 21.
SOLVE FOR X.

Answers

Answer:

X + 9 = 21

Isolate the variable, meaning getting rid of the constants

-9         -9

X = 12

Answer:

12

Step-by-step explanation:

To get the answer 12 you must:

Subtract 21 - 9

That would get you your answer.

Spencer borrowed $50 from his cousin, who charged him 6% simple interest each year. If Spencer pays his cousin back 3 years later, how much will he owe his cousin?
A
$56
B
$59
С
$68
D
$6

Answers

Given:

Principal = $50

Rate of simple interest = 6%

Time = 3 years

To find:

The amount after 3 years.

Solution:

Formula for simple interest:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest in percentage and t is the number of years.

Putting [tex]P=50,\ r=6,\ t=3[/tex] in the above formula, we get

[tex]I=\dfrac{50\times 6\times 3}{100}[/tex]

[tex]I=\dfrac{900}{100}[/tex]

[tex]I=9[/tex]

Formula for amount is:

[tex]A=P+I[/tex]

Where, P is principal and I is the simple interest.

Putting [tex]P=50,\ I=9[/tex], we get

[tex]A=50+9[/tex]

[tex]A=59[/tex]

Therefore, the correct option is B.

Find the surface area of a cone with a radius of 4cm and a slant height of 7cm. Assume π has a value of 3.14

A. 50.3cm^2
B. 88.0cm^2
C. 138.2cm^2
D. 276.5cm^2

Answers

Answer:

138.23cm^2

Step-by-step explanation:

I took an assessment with the same question

I used a calculator for this, and got the answer of C. 138.2cm^2

The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry

Answers

Answer:

16 ft.

Step-by-step explanation:

Distance Formula:

A = (2,2)

B = (12,14)

So, sqrt(12^2 + 10^2) = 16 ft.

This is the same for B to C.

So, 16 ft.

Mark me as Brainliest if this is correct! I really appreciate it! :D

a solid cube of side 8cm is dropped into a cylindrical tank of radius 7cm . calculate the rise in the water level if the original depth of water was 9cm

Answers

the answer is 3.3cm

What is the portion if the base is 450 and the rate is 19%

Answers

Answer:

portion = 85.50

Step-by-step explanation:

[tex]Rate = (\frac{Portion}{Base})*100%[/tex]

Rate = 19%, Base = 450

[tex]19 = \frac{portion}{450} \times 100\\\\19 \times 450 = portion \times 100\\\\\frac{8550}{100} = portion \\\\portion = 85.50[/tex]

Find the value of x that makes:

Answers

Answer:

correct value of x = 5

Step-by-step explanation:

[tex] \frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\ [/tex]

Help ASAP please !!!!

Answers

Answer:

1) 2 days

2) 11 days

3) may 16

5) 5 days

6) may 29th

Step-by-step explanation:

if someone can, check out my recent questions too please

Steve is a store manager. He is paid a straight commission of 1.25% on total store sales. Find his commission on monthly store sales of $156,215.

Answers

Answer:

$1,952

Step-by-step explanation:

1.25 * 156,215/100

=1,952

If y varies directly as x and y =14, when x = 3, find the equation that relates x and y.

Answers

Answer:

y  =

x  =

y  =  14 =  =  14

x  =  3  =  =  3

x  =  =  3

y  =  =  3

Step-by-step explanation:

The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions

Answers

Answer:

Step-by-step explanation:

The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions

answer quickly please!

- 4(2.5x - 1.25) - 3x

Answers

Answer:

-13x+5

Step-by-step explanation:

Distributive Property

-4 (2.5x) + (-4)(-1.25) - 3x

Multiply 2.5 by -4

- 10x - 4 * 1.25 - 3x

Multiply -4 by 1.25

- 10x + 5 -3x

Subtract 3x from -10x

-13x + 5

Hope this helped!

When y is directly proportional to x, the value of y = -2 when x = 4. What is the value of y when x = 8?

Answers

Answer:

y = -4

Step-by-step explanation:

When y is directly proportional to x,

= y ∝ x

= y = kx

Finding k

the value of y = -2 when x = 4

-2 = k4

k = -2/4

k = -1/2

. What is the value of y when x = 8

Finding y

y = kx

y = -1/2 × 8

y = -4

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

Other Questions
what can you say about the texts that you have just read Given the equation: ( x + 3)2 + ( y - 4)2 = 251. Center: ( , ) ??2. Radius: ??3. Diameter: ?? Johns grandparents make wine for special occasions. They add a pinch of yeast to crushed grapes. Over time, this action releases carbon dioxide, and the result is a homemade wine. What chemical process do the grapes undergo?A. alcoholic fermentationB. cellular respirationC. photosynthesisD. preservationE. ripening w is directly proportional to yw is inversely proportional to x?(a) When y = 4, w = 14Work out the value of w when y = 9 3. Choose the sentence without mistakes. *O Perdemos muchos partidos.O Peirde muchos partidos.O Perdo muchos partidos.Pierdemos muchos partidos. A function with a input of 4 has an output of 10. Which following could not be the function equation?y=14-xy=x+6y=2x+3y=(2.5) x Quadrilateral ABCD is translated 5 units right. What are the coordinates of quadrilateral What is meant by the phrase nonverbal communication and what form of nonverbal communication do you think is misunderstood the most by people? in a 200 word What is the correct formula for the following elements?Al 3, Engineers are working on a design for a cylindrical space habitation with a diameter of 7.50 km and length of 29.0 km. The habitation will simulate gravity by rotating along its axis. With what speed (in rad/s) should the habitation rotate so that the acceleration on its inner curved walls equals 8 times Earth's gravity Figure out the emoji book title ! Please help me What is the notion of 'third way' 32. What argument do critics of affirmative action often make?Affirmative action is a form of gender discrimination.Affirmative action supports the majority.Affirmative action discriminates against minority groups.Affirmative action goes against the Constitution. Shen lives in San Diego and runs a business that sells guitars. In an average year, he receives $723,000 from selling guitars. Of this sales revenue, he must pay the manufacturer a wholesale cost of $423,000; he also pays wages and utility bills totaling $267,000. He owns his showroom; if he chooses to rent it out, he will receive $2,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Shen does not operate this guitar business, he can work as a financial advisor, receive an annual salary of $20,000 with no additional monetary costs, and rent out his showroom at the $2,000 per year rate. No other costs are incurred in running this guitar business.Identify each of Paolo's costs in the following table as either an implicit cost or an explicit cost of selling guitars.a. The salary Paolo could earn if he worked as a financial advisor b. The wages and utility bills that Paolo pays c. The wholesale cost for the guitars that Paolo pays the manufacturer d. The rental income Paolo could receive if he chose to rent out his showroom Noah has been compiling what matters most to him and creating a personal agenda based on his strengths and goals. Nocollege dissertation.weekly schedule.life plan.workout schedule. What was the immediate effect of the Compromise of 1850 on South Carolina? es ) A) The secessionists overruled the unionists and cooperationists to draft the Ordinance of Secession. B) The unionists overruled the cooperationists and secessionists to develop policies toward a slave free state. C The secessionists, unionists, and cooperationists decided at a convention that secession was not necessary yet. D The cooperationists overruled the unionists and secessionists to lead South Carolina as an independent slave state without the help from other southerners. Find the period of an electromagnetic wave of wavelength 2.20 102 m. A. 1.36 1010 s c. 7.33 1011 s b. 4.54 101 s d. 6.60 106 s Is there any one who Know ' KRIS WU'is there anyone who is the fan of Kris Wu.Kris' picture is attached above. A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L) One of the benefits of Internet reference sites is that the information comes from one place and only focuses on one areaof a given topicPlease select the best answer from the choices providedOF