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!! 40 points . if you guess or just comment to take points i will make sure your account gets banned, thanks! i want a small simple explanation.

Answers

Answer:

1) m<DBE= 140

2)m<EBD= 30

Step-by-step explanation:

1) 5x-60= x+20

4x= 80

x= 20

plug in the x into the equation: (x+20)---> (20+20)=40

180-40= 140

2) 4x-2+20x-10= 180

24x= 192

x=8

plug in the x into the equation: (4x-2)----> 4(8)-2----> 32-2= 30

3) im not sure

4) im not sure

Answer: did you see my answer on the second page?

Step-by-step explanation: IM SORRY PLEASE DONT BAN ME

ASAP
-WILL MARK BRIANIST

Answers

its A, C, and E

Good Luck

Answer:

I got A and C

Step-by-step explanation:

The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.

PLEASE ANSWER THIS



. . .



please

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U

Answers

Answer:

58

Step-by-step explanation:

The center line in a box plot represents the median

HELP: What is the surface area?

Answers

Answer:

Step-by-step explanation:

surface area=(a+b+c)*h

=(5+5+6)*5

=16*5

=80 cm^2

En un acuario compraron 30 peces y 18 tortugas de agua. Los van a colocar en peceras. Cada una tiene que haber la misma cantidad de peces, la misma cantidad de tortugas y la mayor cantidad de animales posibles ¿cuantas peceras compraron? ¿cuantos peces compraron? ¿cuantos peces y tortugas puede tener cada pecera? Diganme porfaa

Answers

Answer:

a) ¿Cuántas peceras compraron?

Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.

b) ¿Cuántos peces y tortugas puede tener cada tanque?

3 peces por tanque

5 tortugas de agua por tanque

Step-by-step explanation:

Resolvemos la pregunta anterior utilizando el cálculo de múltiplo común más bajo

En un acuario compraron 30 peces y 18 tortugas de agua.

Encuentre y enumere los múltiplos de cada número hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

El mínimo común múltiplo es el número de tanques

Múltiplos de 18:

18, 36, 54, 72, 90, 108, 126

Múltiplos de 30:

30, 60, 90, 120, 150

Por lo tanto,

MCM (18; 30) = 90

a) ¿Cuántas peceras compraron?

Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.

b) ¿Cuántos peces y tortugas puede tener cada tanque?

El número de peces que puede tener cada tanque = Número de tanques / Número de peces

= 90/30

= 3 peces por tanque

El número de tortugas de agua que puede tener cada tanque =

Número de tanques / Número de tortugas de agua

= 90/18

= 5 tortugas de agua por tanque

find the surface area:

Answers

The answer is 28 I hope this helps

Help, please!!!


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is ___
.

Answers

Answer:

the top is right 2/5

Step-by-step explanation:

The probability is 3 / 10.

What is Probability?

The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

7, 11, 12, 13, 14, 18, 21, 23, 27, and 29

So,

even numbers are = 12, 14, 18.

The probability of picking a card = 3 / 10

Learn more about probability here:

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WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4

Answers

Answer: Choice A)  

y = -4x+1

=======================================

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

Mel received notice that his monthly health care rate will increase 20% next year. If Mel currently pays $150 per month for health care, by what amount will his rate increase next year?

Answers

It will increase by $30

We need to convert the percentage to a decimal by dividing by 100. Then we multiply by the $150.

150 x 0.20 = 30

Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?

Answers

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

which of the following statements are true about solving equations

Answers

Answer:

u need to provide the statement

Step-by-step explanation:

I think you legit to upload a pic !

what will the remainder over the divisor?

Answers

It’s the last answer. 1/x-2

Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4) ​

Answers

Answer:

(4,1);(1,4)

Step-by-step explanation:

The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be y = -x² + 4x + 1

Let the equation of line be y = -x + 5

Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.

Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:

-x² + 4x + 1 = -x + 5

Rearranging the equation, we get a quadratic equation in standard form:

-x² + 4x + x - 1 - 5 = 0

-x² + 5x - 6 = 0

Factoring the quadratic equation, we get:

-(x - 1)(x - 6) = 0

Setting each factor equal to zero and solving for x, we get two potential values for x:

x - 1 = 0 or x - 6 = 0

x = 1 or x = 6

Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:

For x = 1:

y = -1 + 5

y = 4

So, one point of intersection is (1, 4)

For x = 6:

y = -6 + 5

y = -1

So, the other point of intersection is (6, -1).

Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)

To learn more about parabola click :

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Hurry please need fast

Answers

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

select the correct answer from the drop-down menu

find the polynomial

(5) is the solution set of ___

A. X^2-5x + 25=0

B. X^2 + 10x + 25 = 0

C. X^2-10x+25=0

D. X^2+5x+25=0

Answers

c is the answer bc its (5)^2-10(5)+25 so then it is 25-50+25 which = 0

whats this picture's eqeuation

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

The slope can be found by taking two points, for instance: (0,3) and (3,9) which lie on the graph.  Find the slope between the two, remember rise over run:

(9-3)/(3-0) = 6/3 = 2

The y-intercept is (0,3)

So b in the y= mx + b equation is 3.

m is the slope, so it is 2.

y = 2x + 3

what are the points when you graph y = -7x -1

Answers

Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)

Step-by-step explanation:

Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.

Please help me on this problem

Answers

Answer:

The answer would be 20 mi

Step-by-step explanation:

a^2+b^2=c^2

a^2=144

b^2=256

C^2=400

Then you find the square root of ABC to find that C is 20

Expand to write an equivalent expression. −5(7m−2)

Answers

Answer:

Step-by-step explanation:

-5(7m-2)

-5*7m-(-5)*-2

-35m+10

The expansion of an equivalent expression −5(7m−2) is -35m + 10.

What is a distributive property?

Distributive property says that the sum of two or more addends multiplied by a number, gives the same answer as distributing the multiplier, multiplying each added separately, and adding the products together.

Given expression

−5(7m−2)

For expanding the expression, use distributive property

= -5 × 7m - (-5) × (-2)

= -35m + 5 × 2

= -35m + 10

Hence, The expansion of an equivalent expression −5(7m−2) is -35m + 10.

Learn more about distributive property here

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Does anyone understand? Need help asap

Answers

Answer:

it's 149.(54)=7

Step-by-step explanation:

that's the answer

Last summer Myrtle, worked 45 hours and earned $443.70. She wanted to make at least $550 this summer. Using an inequality, find how many additional hours must she work in order to reach this goal?

Answers

Answer:

11 hours

Step-by-step explanation:

Using an inequality, find how many additional hours must she work in order to reach this goal?

From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤

Hence,

Let the number of additional hours = h

Last summer Myrtle, worked 45 hours and earned $443.70.

The amount she earned per hour = $443.70/45

= $9.86

Our inequality equation is written as;

She wanted to make at least $550 this summer.

$9.86 × h ≤ $550

= 9.86h ≤ 550

h = 550/9.86

h = 55.780933063 hours

Approximately the additional hours she has to work =

55.780933063 - 45 hours

= 10 .780933063 hours

Approximately = 11 hours

Trying to find the surface area and can not get the answer.

Answers

Answer:

Hi there user! I'll help you!

96 should be the correct answer!

Step-by-step explanation:

4 x 3 = 12

4 x 7 = 28

5 x 7 = 35

3 x 7 = 21

12 + 28 + 35 + 21 = 96

Solve the equation 2x-4y=4 for y

Answers

The answer for 2x-4=4 is
Y= -1 + 1/2x

From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.​

Answers

Answer:

Distance of first boat = 8 meter

Distance of second boat = 13.87 meter (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 8 meter

Angle of depression respectively = 45° and 30°

Find:

Distance of boats

Computation:

Tanθ = Perpendicular / Base

Tan45 = 8 / Distance of first boat

1 = 8 / Distance of first boat

Distance of first boat = 8 meter

Tan30 = 8 / Distance of second boat

0.577 = 8 / Distance of second boat

Distance of second boat = 8 / 0.577

Distance of second boat = 13.8648

Distance of second boat = 13.87 meter (Approx.)

Find the volume of the triangular prism.​

Answers

Answer:

theres no picture

Step-by-step explanation:

BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)

Answers

Answer:

take care everyone be safe

stay home , stay safe

take vaccination

What is the equation of the circle with a diameter whose endpoints are (-3,-9) and (-7,1)?

Answers

Answer:

12

Step-by-step explanation:

Answer:

( x + 5 )² + ( y + 4 )² = 29

Step-by-step explanation:

Equation of the circle is

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center

~~~~~~~~~~~~~~~~~~~~~

Coordinates of the center of the circle are

( [tex]\frac{-3-7}{2}[/tex] , [tex]\frac{-9+1}{2}[/tex] ) = ( - 5 , - 4 )

d = 2√29 ⇒ r = √29

( x + 5 )² + ( y + 4 )² = 29

Jessica rents a bike for $15 plus $3 for each hour of use. She pays $27 in total. How long did Jessica rent the bike for? Choose the equation and solution which describe this situation.

Answers

Answer:

$27-$15

= $12

$3 per hour

$12÷$3

=4 hours

Jessica rent the bike for 4 hours.

hey quyzz. Can someone pls help.

Ive been working on this equation for some and i am not sure wheter the answer is 27/340 or 11/170. pls give full workings. will give brainly.


[tex](2 \frac{3}{3} \div 4 - \frac{3}{10} ) \times \frac{3}{17} [/tex]

Answers

[tex] \frac{27}{340} [/tex] ✅

Step-by-step explanation:

[tex]( \frac{2 \frac{3}{3} }{4} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{ \frac{9}{3} }{4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{3 \times 4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{12} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{9 \times 5}{12 \times 5} - \frac{3 \times 6}{10 \times 6} ) \times \frac{3}{17} \\ = ( \frac{45 - 18}{60} ) \times \frac{3}{17} \\ = \frac{27}{60} \times \frac{3}{17} \\ = \frac{81}{1020} \\ = \frac{27}{340} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

I am in need for help please

Answers

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

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