find the zero's of the function please help will mark brainliest whoever answer is helpful please help me ​

Find The Zero's Of The Function Please Help Will Mark Brainliest Whoever Answer Is Helpful Please Help

Answers

Answer 1

Answer:

x = -5      

x=1

Step-by-step explanation:

f(x) = 1/3 (x+5) (x-1)

We want to find the zero's so set f(x) = 0

0 = 1/3 (x+5) (x-1)

Using the zero product property

x+5 = 0   x-1 =0

x+5-5 = 0-5      x-1+1 = 0+1

x = -5                  x=1

Answer 2

Answer:

x = -5, 1

Step-by-step explanation:

first you want to set both parenthesised equations to zero --

x + 5 = 0        x - 1 = 0

then just solve the one step equations--

x + 5 = 0      x - 1 = 0

  -5     -5        +1     +1

x = -5           x = 1

and you can leave the 1/3 alone (it actually has nothing to do with the zero product property)

hope this helps!!


Related Questions

Alex, Gil and Meg shared 740 cards. Alex had 20 fewer cards than Gil and 120 fewer cards than Meg. How many cards did Alex have?



PLEASE DRAW
HELP ME​

Answers

Alex have 200 cards.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question

Alex, Gil and Meg shared 740 cards.

Alex had 20 fewer cards than Gil and 120 fewer cards than Meg.

Assuming Alex have x cards

Based on the given condition, write equation

[tex]x+(x+20)+(x+120)=740[/tex]

Solving the equation

[tex]3x =740-20-120[/tex]

[tex]3x=600[/tex]

[tex]x=200[/tex]

Hence, Alex have 200 cards.

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Alex had 193 cards. Meg had 120 more, Gil 20 more than Alex, for a total of 740 shared.

Let x be the number of cards Gil had.

Alex had x - 20 cards.

Meg had x + 120 cards.

The total number of cards is x + (x - 20) + (x + 120) = 740.

Combining like terms, we get 3x + 100 = 740.

Subtracting 100 from both sides, we get 3x = 640.

Dividing both sides by 3, we get x = 213.33.

Since the number of cards must be a whole number, we can round 213.33 down to 213.

Therefore, Alex had 213 - 20 = 193 cards.

So the answer is 193

PLZ HELP!!!
Determine if the set of ordered pairs represents a function. Explain why or why not. {(-4, 4), (-2, 2), (0, 0), (-2, -2)}

Answers

Answer:

This is a relation not a function

Step-by-step explanation:

This is not a function

The input x=-2 goes to both the output 2 and -2

Each input can only go to one output to be a function

In the fifth grade there are 4/5 as many students who do not have glasses as those who do wear glasses if there are 60 students who wear glasses how many students are there in fifth grade

Answers

Answer:

300 students

Step-by-step explanation:

Since 4/5 of students do not wear glasses, 1/5 of students do.  

There are 60 students who wear glasses, so let 'x' represent the number of students who wear glasses

(1/5)x = 60     is our equation.  "One-fifth of the number of students who wear glasses is 60"

Now solve for x

(1/5)x = 60

    x = 300    (multiply both sides by 5 to get rid of the fraction)

in the function y= -1/2(x-1)^2+3, what effect does the negative sign have on the graph, as compared to the graph of y=x^2?

Answers

Final answer:

In the function y= -1/2(x-1)^2+3, the negative sign inverts the graph so that it opens downwards unlike y=x^2 that opens upwards. This is due to the negative slope which implies a descent in the graph when moving left to right, showing a negative correlation between x and y.

Explanation:

In the function y= -1/2(x-1)^2+3, the negative sign in front of the fraction plays a vital role in the graph's orientation. Unlike the graph of y=x^2 which opens upwards, the negative sign causes the graph of the given function to open downwards. This occurs because the negative sign affects the slope of the function. Graphically, a negative slope means that as we move from left to right along the graph, it descends; showing a negative correlation between x and y. Thus in the concoction of a graph, when x increases, y decreases, or when x decreases, y increases. This is a fundamental rule in graphing quadratic functions.

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The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex]inverts the graph compared to[tex]y = x^2[/tex], making the parabola open downwards and indicating a negative relationship between the x and y values.

The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex] in comparison to the function [tex]y = x^2[/tex]inverts the graph of the parabola. While the graph of[tex]y = x^2[/tex]opens upwards, the negative coefficient causes the graph of the given function to open downwards. This means that instead of the parabola having a minimum point which occurs in [tex]y = x^2[/tex], the parabola will have a maximum point at the vertex (1, 3). As the x-value increases or decreases from the vertex, the y-value will decrease due to the negative sign, indicating that the two variables are negatively related. The general shape of the graph remains a parabola, but it is flipped vertically over the x-axis.

PLEASE HELP ME ILL MARK AS BRAINLIEST

Answers

0.05 ---> 1/18

square root of 0.25 ------> 0.05

1/7------> 0.142857 repeating

0.6 -------> 2/3

Answer:

0.05 ---> 1/18

1/7 ---> 0.142857

0.6 ---> 2/3

0.25 ---> 0.05

Step-by-step explanation:

What does the line ] 5x+2y=8 5 x + 2 y = 8 look like?

Answers

it looks like somebody else is already answering this for you, but if you are in need of an answer for a question like this fast just go to desmos.com and input your function it will show you what the graph will look like

Rectangle ABCD has a perimeter of 32 units and will be rotated about line k.

Answers

Answer:

the first one is (cylinder) and second one is (6 units)

The radius of base is, 5 units

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Since, it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.

Hence, Let's calculate its radius, based on the information given, i.e. the perimeter as,

2p = 32

Since, We know that;

2p = b + b + h + h

2p = 2 (b + h)

2 (b + h) = 32

b + h = 16

And, bh = 60

This gives solutions,

b = 10 and h = 6

Since, the line of rotation is the center, and the radius is half the line segment of the basis,

Then, The radius is 5.

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Complete question is this,

Rectangle ABCD has a perimeter of 32 units and will

be rotated about line k.

What is the three-dimensional solid created?

cylinder

What is the radius of a base?

10 units

What is the approximate area of the shaded region?

Answers

Answer:

At = 21.5 cm2

Step-by-step explanation:

At = Asqr - Acircle

At = A1 - A2

A1 = 10^2  = 100

A2 = Pi*(5)^2 = 78.5

At = 100 - 78.5

At = 21.5 cm2

Best regards

For this case we have that by definition:

The area of a circle is: [tex]A_ {c} = \pi * r ^ 2[/tex]

Where r is the radius of the circle.

The area of a square is: [tex]A_ {s} = l ^ 2[/tex]

Where l is the side of the square.

The area of the shaded region will be:

[tex]A_ {sr} = A {s} -A_ {c}[/tex]

So:

[tex]A_ {s} = 10 * 10\\A_ {s} = 100 \ cm ^ 2[/tex]

On the other hand:

[tex]A_ {c} = \pi * (\frac {10} {2}) ^ 2\\A_ {c} = \pi * 25\\A_ {c} = 78.5375cm ^ 2[/tex]

Finally:

[tex]A_ {sr} = 100-78.5375\\A_ {sr} = 21.4625[/tex]

Rounding out, we have that the area of the shaded region is 21.5 square centimeters.

Answer:

Option D

Which ordered pair is a solution of y = x + 4?

A (0,0)
B (5,54)
C (7,28)
D (9,13)

Answers

Answer:

D (9,13)

Step-by-step explanation:

Substitute the points into the equation

y =x+4

A (0,0)

0=0+4

0=4  False  This point is not a solution

B (5,54)

54 = 4+4

54=8  False  This point is not a solution

C (7,28)

28 = 7+4

28 = 11  False  This point is not a solution

D (9,13)

13 = 9+4

13=13  True This point is a solution

Answer:

plug in 13 for y you get x = 9  D(9,13)

A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest meter, what is the height of the tree?
THanks!!!!

Answers

Answer:

G.) 23 meters

Step-by-step explanation:

makeing it into a proportion would be the easiest -

9/x = 21/54

21x = 486

/21      /21

x = 23.14

rounded out would be x = 23 meters

hope this helps!!

The height of the tree is 23 meters

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Let  the height of the tree as 'x'.

The proportion can be set up as:

(height of the tree) / (length of the tree's shadow) = (height of the building) / (length of the building's shadow)

Plugging in the given values:

x / 9 = 54 / 21

To solve for x, we can cross-multiply:

21x = 54×9

21x = 486

Dividing both sides by 21:

x = 486 / 21

= 23.143

Hence,  the height of the tree is 23 meters.

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The floor of a round hut has a diameter of 4 meters. What is the floor's circumference? Use 3.14 for ​.

Answers

Answer:

12.56

Step-by-step explanation:

C= 2 x 3.14 x 2

(the other 2 is half of the circumference)

To find the circumference of a round hut floor with a diameter of 4 meters, use the formula Circumference = π x Diameter, resulting in 12.56 meters.

The circumference of a round hut with a floor diameter of 4 meters can be calculated using the formula Circumference = π x Diameter.

Given Diameter = 4mUsing π ≈ 3.14, Circumference = 3.14 x 4 = 12.56 meters

17=(-14)+K solve for K

Answers

Answer:

K=31

Step-by-step explanation:

17=(-14)+K

We want to isolate k

Add 14 to each side

17+14=(-14)+14+K

31 = K

Answer:

k=31

Step-by-step explanation:

3.....simplifyyyyyyyyy

Answers

Answer:

Step-by-step explanation:

Using law of indies;

√Xᵃ = Xᵃ/²

√(0.08¹²) = (0.08¹²ˣ¹/²)

                  = 0.08⁶

The correct answer is A; (0.08)⁶

           

For this case we must simplify the following expression:

[tex](\sqrt {0.08 ^ {12}}[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So, we can rewrite the given expression as:

[tex]0.08 ^ {\frac {12} {2}} =\\(0.08) ^ 6[/tex]

Answer:

[tex](0.08) ^ 6[/tex]

Option A

PLEASE HELP FAST

1. Sketch, in black, the graph of the line passing through the points (2, 2) and (5, 8). 2. Sketch, in blue, the graph of the line passing through (10, 5) and with slope -3.

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

1) You have to find the equation of the line first:

y = mx + c

First find the slope

slope = difference in y / difference in x

slope = 6/3

slope = 2

Substitute this into the equation, as well as one of the coordinates

2 = 2(2) + c

Subtract 4 from both sides

c = -2

The equation of the line is y = 2x - 2

I will attach the drawn graph (it won't be in blue but just note that the first graph is the first one)

2) Substitute the values into the equation:

5 = -3(10) + c

c = 35

The equation is y = -3x + 35

I will attach the graph (it will be the second one)

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

which graph shows a proportional relationship?

Answers

Answer:

The bottom left

Step-by-step explanation:

As one variable increases so does the other and it goes through the origin.

Find the the angles of CBD

Answers

Answer:

125 degrees.

Step-by-step explanation:

m < CBD = m < A + m < C ( by the External Angle of a Triangle theorem).

=  58 + 67 = 125 degrees.

Answer:

125°

Step-by-step explanation:

We know that ∠CBD = ∠ACB + ∠CAB           [ External Angle of a                                                                                         Triangle theorem]

∠CBD = 58° + 67° = 125°

What are the x-intercepts of the graph of the function below?
y = x2 + 3x - 28
A. (7, 0) and (4, 0)
B. (-7, 0) and (4, 0)
C. (-7, 0) and (-4, 0)
D. (7, 0) and (-4, 0)

Answers

Answer:

Correct Answer: B

Step-by-step explanation:

which number is an irrational number A. 0.6 repeating B. 9/27 C.9/16 squared root D. 9/27 square root

Answers

Answer:

A - 0.6 repeating

Step-by-step explanation:

An irrational number cannot be written as a fraction - it is a number without end (like a repeating number)

What Is The Missing. Angle Measure Of This Isosceles Triangle​

Answers

75+75=150

180-150=30

your missing angle is 30 degrees

Find the area of the following polygon


Given: AC = 12, AD = 16

Answers

Answer:

The area of the polygon is [tex]116\ units^{2}[/tex]

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of the triangle ADE plus the area of triangle ACD plus the area of triangle ABC

step 1

Find the area of triangle ADE

The area is equal to

[tex]A=\frac{1}{2}(AD)(EG)[/tex]

substitute the values

[tex]A=\frac{1}{2}(16)(3)=24\ units^{2}[/tex]

step 2

Find the area of triangle ACD

The area is equal to

[tex]A=\frac{1}{2}(AD)(CH)[/tex]

substitute the values

[tex]A=\frac{1}{2}(16)(7)=56\ units^{2}[/tex]

step 3

Find the area of triangle ABC

The area is equal to

[tex]A=\frac{1}{2}(AC)(BF)[/tex]

substitute the values

[tex]A=\frac{1}{2}(12)(6)=36\ units^{2}[/tex]

step 4

Find the area of the polygon

[tex]A=24\ units^{2}+56\ units^{2}+36\ units^{2}=116\ units^{2}[/tex]

Write 5 √ 4 using rational exponents.

Answers

Final answer:

To express 5 √ 4 using rational exponents, you write it as 5¹ × 4¹⁄₂, as the square root of a number is that number raised to the power of ½.

Explanation:

To write 5 √ 4 using rational exponents, we must express the square root of 4 as a power. From our mathematical rules, we know that a square root can be written as an exponent of ½. Therefore, √4 is equivalent to 4 to the ½ power (4¹⁄₂).

Considering the expression 5 √ 4, we apply the same concept. The 5 is actually 5 to the power of 1 (5¹), and the square root of 4 is 4 to the ½ power. When these are multiplied together, we combine the base of 5 with the exponent expressions, remembering that the 4¹⁄₂ needs to be multiplied by 5¹. Consequently, 5 √ 4 becomes 5¹ × 4¹⁄₂.

The expression 5√4 can be written using rational exponents as 5 * [tex]4^{1/2}[/tex].

To express the given expression 5√4 using rational exponents, we start by understanding what the square root represents in exponential form. The square root of a number x can be written as [tex]x^{1/2}[/tex]. For our given expression, we need to follow these steps:

Rewrite the square root in exponential form. Since √4 is the same as [tex]4^{1/2}[/tex], we can replace √4 with [tex]4^{1/2}[/tex].Combine this with the provided factor of 5, giving us 5 *[tex]4^{1/2}[/tex].

Therefore, the expression 5√4 can be written as 5 * [tex]4^{1/2}[/tex] using rational exponents.

HELP PLEASE. When finding the surface area of a composite figure, why is it often necessary to subtract sides common to each individual shape? Complete the explanation.


Identifiable shapes that are easy to find the (volume/surface area) of in composite figures will often have portions that overlap with each other. After finding the surface area of each individual shape, simply adding these surfaces areas together will result in a number (greater/less) than the real surface area. This means that after adding the surface areas of the individual shapes, it is necessary to (add/subtract) sides common to both shapes to get the true surface area.

Answers

Answer:

Surface area; Greater; subtract

Step-by-step explanation:

The complete sentence are as follow:

Identifiable shapes that are easy to find the surface area.Adding these surfaces areas together will result in a number greater than the real surface area. It is necessary to subtract sides common to both shapes to get the true surface area.

What is Surface area?

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface. It's also expressed in square units.

First, the identical shapes can be recognized using Surface Area because volume is used to measure the capacity.

Now, adding the surface results to the greater surface area.

So, to find the true Surface area it is necessary to subtract the common sides.

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the table shows cara's scores for 5 rounds of golf. If cara wants an average score of 73, what should her scores be on 6th round she plays?

Answers

Answer:

63

Step-by-step explanation:

80+69+78+73+75+63= 438

438/6 = 73

Hope this helps you! :)

Eighty-five percent of what number is 25.5?
A.
108
B.
18
C.
21.675
D.
30

Answers

The answer is D 30 .85x30=25.5

Answer:

D

Step-by-step explanation:

Answer is D

A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers​

Answers

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x  x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

What is the pattern in the values as the exponents increase?

Answers

Answer:

"multiply the previous value by 3"

Step-by-step explanation:

We can easily see the pattern if we look at the 2nd, 3rd, 4th terms.

What makes 1 into 3? Of course, multiplying 1 by 3 gives us 3.What makes 3 into 9? Same, multiplying 3 by 3 gives us 9.

Now, we can see 1st and 2nd terms (which wasn't that apparent for some). Does multiplying 1/3 by 3 give us 1? INDEED, it does!

So the rule is "multiplying the previous term by 3".

Area (the space inside a plane figure, Like a triangle or Circle) is measured using ___________ units

Answers

Answer:

m2 or inch2 or pulg2

Step-by-step explanation:

Answer: square units

Step-by-step explanation: when you hear of a shape area like 26 square feet or units

kristy ran 24 laps in chairity run and then walked 0.2 kilometer to the presentation table. The total distance Kristy traveled was 29.6 kilometers. What was the distance of each lap? Explain how you solved the problem.​

Answers

total distance of 24 laps

29.6km - 0.2km

=29.4km

total distance of each lap

24 laps = 29.4km

1 lap = ?

Use cross-multiple

24 laps × X = 29.4km × 1 lap

X = 29.4km / 24

X = 1.225km

Answer

1.225km

Answer:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

the function g is defined by the following rule g(x)=4x-5

Answers

Answer: 5/4, or 1.25

Step-by-step explanation:

To solve, get a variable on one side. First, add 5 on both sides.

g(x) = 4x-5+5

Next, divide by four.

5/4 = 4x/4

Now, solve.

5/4, or 1.25 = x

What is the slope of a line with points at (-5,2) (4,-7)?​

Answers

Answer:

-1

Step-by-step explanation:

To find the slope of a line, you would need to use the slope formula, and that is [tex]slope=\frac{y2-y1 }{x2-x1}[/tex]

This equation should be used every time you need to find a slope with two given points. If you remember this, you would find questions like this more easy.

First, you would need to plug in your coordinate points into the formula.

You would plug -7 in y2, 2 in y1. And then you will plug in 4 in x2, and -5 in x1.

Your equation should look like this:

[tex]\frac{-7-2}{4-(-5)}[/tex]

Then you solve.

For the top portion of your equation you would get -9. The -5 turns into a positive 5 because when you carry the negative over (distribute it), the negative cancels out and turns into a positive. When you add the 5 and the 4 together, it will get you 9. The bottom portion of the equation will be 9.

Your equation should now look like this:

[tex]\frac{-9}{9}[/tex]

Now, you divide.

When you divide, the two 9's end up as a whole, and you keep the negative since the negative doesn't cancel out in this situation. When you finish dividing, you would get -1.

Your FINAL answer would be -1.

Answer:

-1

Step-by-step explanation:

    Slope formula:

             ↓

 [tex]{\huge\frac{Y_2-Y_1}{X_2-X_1}[/tex]

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

Therefore the slope is -1.

-1 is the correct answer.

I hope this helps you, and have a wonderful day!

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