Find the zeros of the function.
Write the smaller solution first, and the larger solution second.
g(x)=(-5x– 1)(2x + 8)
smaller x=
larger x =

Answers

Answer 1

Answer:

x = - 4, x = - [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

To find the zeros let g(x) = 0, that is

(- 5x - 1)(2x + 8) = 0 ← in standard form

Equate each factor to zero and solve for x

- 5x - 1 = 0 ( add 1 to both sides )

- 5x = 1 ( divide both sides by - 5 )

x = [tex]\frac{1}{-5}[/tex] = - [tex]\frac{1}{5}[/tex]

2x + 8 = 0 ( subtract 8 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4

Thus

smaller x = - 4

larger x = - [tex]\frac{1}{5}[/tex]


Related Questions

Sheila went to the fair and spent a total of $40. She paid $16 for a ticket to the fair, and she played some games at the fair for $3 each. Which equation could be used to determine the number of games, x, Sheila played?

Answers

Answer
40 is greater than or equal to 16+3x

How do u find the density of a sphere

Answers

Answer:

Step-by-step explanation:

The formula to find density of a sphere is mass/volume.

Density in simple words means the relation between weight and size of a substance. It is basically related to the compactness of a substance.It is a very useful characteristic and every material has density.

To calculate density, we must calculate the mass and volume of the substance.

          p=m/v

where p= density, m= mass of substance, v= volume of substance

Formula to calculate the volume of a sphere = 4/3 [tex]\pi r^{3} \\[/tex]

Therefore, density p =[tex]m/4/3\pi r^{3}[/tex]

                             p = 3m/4   [tex]\pi r^{3} \\[/tex]

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K/6 = 15/18
Solve the proportion

Answers

Answer:

k = 5

Step-by-step explanation:

Step 1:  Cross multiply

k/6 = 15/18

k(18) = 6(15)

18k = 90

Step 2:  Divide both sides by 18

18k / 18 = 90 / 18

k = 5

Answer:  k = 5

Another way to do it is to multiply both sides by 6

k/6 * 6 = 15/18 * 6

k = 90 / 18

k = 5

Answer: 5

Step-by-step explanation: To solve for k in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).

So we have (k)(18) or 18k = (6)(15) or 90.

Now we have the equation 18k = 90.

Dividing both sides by 18, k = 5.

It's a good idea to check the answer in these types of problems so if we plug a 5 back in for k in the original proportion, we have [tex]\frac{(5)}{6}= \frac{15}{18}[/tex] which is a true statement since 15/18 reduces to 5/6.

What is the answer to 2(-1)+10

Answers

Answer: -8

Step-by-step explanation:

2(-1) +10

Open the bracket

2 x ( -1) + 10; be mindful of the sign, as negative multiplied by positive equals negative

-2 + 10

-8

I hope this helps.

Answer:

8

Step-by-step explanation:

Use PEMDAS:  Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction

Step 1:  Multiply 2 and -1

2(-1) + 10

-2 + 10

Step 2:  Add -2 and 10

-2 + 10

8

Answer:  8

Can you please help me solve J/7 = -6

Answers

Answer:

The answer is J = -42

Step-by-step explanation:

if j/7 = -6

Then J = -6 ×7

J = -42

What is 0.82 divided by 0.0082

Answers

Answer:

100 .   -angie :) . pls trust me

dont forget to mark me brainliest!

Answer: [tex]100[/tex]

Step-by-step explanation:

Move the decimal to the left 2 times to get your answer

Before:

.82

After:

0.0082

You Move the decimal 2 times to the left to get your answer.

If your answer was 10 you will move the decimal 1 time to the left and get    0.082

Solve the equation
5x + 8 - 3x = -10

OX= -9
O x = -1
ON=1
O X = 9

Answers

Answer:

A. X= -9 hope this helps alot

The requried solution of equation 5x + 8 - 3x = -10 is x = -9. Option A is correct.

We can simplify the equation by combining like terms:

5x + 8 - 3x = -10

2x + 8 = -10

2x = -10 - 8

2x = -18

x = -18/2

x = -9

Therefore, the solution to the equation is x = -9.

Hence, the answer is option (A) x= -9.

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Factor X^2-y^2 using snowflake method

Answers

Answer:

(x+y)(x-y)

This is just the difference of squares.

The expression [tex]X^2 - y^2[/tex] can be factored using the difference of squares rule, resulting in the Factoring form [tex](X - y)(X + y)[/tex].

The equation you're asking about, [tex]X^2 - y^2[/tex], is an example of a difference of squares, a key concept in algebra. In general, the formula [tex]a² - b²[/tex] can be factored into [tex](a - b) (a + b)[/tex]. So for the expression [tex]X^2 - y^2[/tex], we can apply this rule to factor it into [tex](X - y)(X + y)[/tex].

Here is a step-by-step explanation:

Identify that the equation is in the form of [tex]a²-b²[/tex], where 'a' is X and 'b' is y

Apply the formula to get [tex](X-y)(X+y)[/tex]

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If Maria arrives 55sec after traveling 110meters how fast was she going

Answers

Answer:2meters per second

Step-by-step explanation:

Speed=distance/time

Speed=110/55

Speed=2

Answer:

2 meters/ second

Step-by-step explanation:

2×55=110

0.08 is 1/10 of what number?

Answers

Since the answer calls for a decimal, we will convert 1/10 into a decimal, which works out to be 0.1. Now, we multiply 0.1 by 0.08, which results in the decimal place moving one position to the left. Therefore, the answer is *0.008.*

Add 3 to x subtract the result from 1 then double what you have

Answers

If you add 3 to x you have [tex]3+x[/tex]

Subtract this from 1: [tex]1-(3+x)=1-3-x=-2-x[/tex]

Double this: [tex]2(-2-x)=-4-2x[/tex]

The required answer is 4 + 2x.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given expression is,

Add 3 to x subtract the result from 1 then double

Convert it to the numerical expression,

Add 3 to x = 3 + x

subtract the result from 1 = 3 + x - 1

subtract the result from 1 = 2 + x

Now double of result  = 2(2 + x)

double of result  = 4 + 2x

this is the required solution.

Thus, the required answer is 4 + 2x.

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Are triangles DEF and LNM similar if DF = 8 and LM = 4?triangles LNM and DEF with angles N and E marked with the right angle symbol Yes, by the SAS Similarity Postulate Yes, by the definition of similarity No, the corresponding sides are not proportional No, there is not enough information

Answers

Answer:

Option D) No, there is not enough information

Step-by-step explanation:

We are given the following in the question:

A triangles DEF and triangle LNM

[tex]\angle N = \angle E = 90^\circ\\DF = 8\\LM = 4[/tex]

Similarity of triangle can be proved in the following manner:

AASSSSAS

Since from the given information, it is not possible to prove the similarity of the triangles due to incomplete information, the triangles cannot be proved similar by any postulate.

Thus, the correct answer is

Option D) No, there is not enough information

Answer:

D

Step-by-step explanation:

Cuz Im just right


1. Mrs. Brown had $16 dollars in her
wallet. After shopping at the store, she
now has $8. How much money did
Mrs. Brown spend at the store?​

Answers

Mrs. Brown spent $8 16-8=8

Final answer:

Mrs. Brown spent $8 at the store, which is found by subtracting her remaining amount of $8 from her initial amount of $16.

Explanation:

The amount of money Mrs. Brown spent at the store can be calculated by subtracting the amount she had after shopping from the amount she had before going to the store. Mrs. Brown had $16 before shopping and was left with $8 after shopping. Therefore, to calculate how much money she spent, we would perform the following subtraction:

$16 (before shopping) - $8 (after shopping) = $8 (spent)

Hence, Mrs. Brown spent $8 at the store.

Find the rule. Solve for n. Answer quick please :)

Answers

Answer:

9

Step-by-step explanation:

Between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. Then by the time he went to bed, the temperature dropped by 14 degrees.
Write an addition expression for the temperature relative to when Iko woke up.


Answers

Answer:

[tex]T_t=x\textdegree-3\textdegree[/tex]

Step-by-step explanation:

let be temperature when he woke up. Given that the temperature rose  by 11° then later dropped by 14°. Also let [tex]T_t[/tex] be temperature at time t The temperature relative to time of waking up can be expressed as:

[tex]T_t=x\textdegree \pm \bigtriangleup T\textdegree\\\\T_t=x\textdegree + 11\textdegree -14\textdegree\\\\T_t=x\textdegree-3\textdegree[/tex]

Hence, temperature relative to time of waking up is expressed as

[tex]T_t=x\textdegree-3\textdegree[/tex]

f. -10x >45
Solve the two step inequality

Answers

Answer:

x < -4.5

Step-by-step explanation:

Step 1:  Solve for x

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer:  x < -4.5

Need ASAP i will give 10 points

How many data points are missing on the scatter plot graph, if any? A) 0 B) 1 C) 2 D) 3

Answers

Answer:

B) 1

Step-by-step explanation:

There are 8 pairs of data in the table but only 7 points plotted in the graph,

hence there must be 1 point that is missing from the graph.

It turns out that the missing point that was not plotted is (10, 2.5)

Answer:

B) 1

Step-by-step explanation:

Deion Sanders can run the 40 yard dash in 4.19 seconds. At this rate, how long would it take him to run a mile?
**hint** There are 1760 yards in a mile.

Approximately 3:07 minutes Approximately 184.36 minutes Approximately 420 seconds Approximately 7 minutes

Answers

Answer:

184.36

Step-by-step explanation:

If you times 40×45=1760 so you have to times 4.19×44= The answer/ 184.36

Deion Sanders would approximately take 3 minutes and 7 seconds to run a mile at his 40 yard dash pace of 4.19 seconds, calculating his speed and using the number of yards in a mile to find the total time needed.

To calculate the time it would take Deion Sanders to run a mile at his 40 yard dash pace, we first determine his speed over that distance. We know he runs 40 yards in 4.19 seconds, so we can calculate his speed as follows:

Speed = distance / time

Speed = 40 yards / 4.19 seconds

Speed  = 9.55 yards/second (approximately)

Since there are 1760 yards in a mile, to find out how long it will take to run a mile, we divide the total yards in a mile by the speed:

Time to run a mile = distance / speed

Time to run a mile = 1760 yards / 9.55 yards/second

Time to run a mile = 184.293 seconds (approximately)

Converting seconds to minutes yields approximately:

184.293 seconds  = 3.07155 minutes (184.293 seconds / 60 seconds per minute)

This result shows that at Deion Sanders' 40 yard dash speed, it would take him approximately 3 minutes and 7 seconds to run a mile.

Two increased by the product of a number and 9 is greater than or equal to 25.

Answers

Answer:

x≥2.56

Step-by-step explanation:

first we can write the inequality

2+9x≥25

we can now solve this with algebra

9x≥23

x≥2.56

The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 125°.
The bearing of point Z from point X is 110°.
Find the bearing of point X from point Z.

Answers

Answer:

290°

Step-by-step explanation:

The bearing of X from Z can be calculated for as shown in the attached photo.

Classify these numbers as rational or irrational

Answers

-4/5, 2.5, 0.4, √16 are rational and √2 is irrational.

Step-by-step explanation:

The rational number can be written in the form of fraction that can be simplified into a integer.The irrational number cannot be written in the form of fraction.

-4/5 is a rational number.

Reason: It is in the fraction form with -4 in the numerator and 5 in the denominator.  .

√2 is irrational.

Reason: since it cannot be written as a fraction.

2.5 is rational number.

Reason: It can be written in the form of fraction such as 5/2.

0.4 is represented with a bar above the 4 which means that 4 gets repeated. It is a rational number

Reason: because it an integer.

√16 is rational.

Reason: It can be simplified as +4 or -4 which are integers.

If 12 bagels are 5 dollars then how many bagels can you get for $50

Answers

Answer: 120 bagels

Step-by-step explanation:

If it goes from five dollars to fifty dollars you multiply by ten

You must o the same thing to the amount of bagels to get the answer

5 times 10 is 50

12 times 10 is 120

Answer:

120

Step-by-step explanation:

12-5

24-10

36-15

48-20

60-25

72-30

84-35

96-40

108-45

120-50

A rectangular park is 6x + 2 ft long and

3x + 7 ft wide. In the middle of the park is

a square turtle pond that is 8 ft wide. What

expression represents the area of the park not

occupied by the turtle pond? SEE EXAMPLE 6

Answers

The area of the park not occupied by the turtle pond= [tex]18 x^{2} + 48x -50 ft^2[/tex]

The length of the rectangular park given here is = [tex]6x + 2[/tex]

The breadth of the rectangular park given here is = [tex]3x + 7[/tex]

To calculate the area of the park (rectangle), firstly you are required to do = Length * breadth

So as per the values given in the question, you need to do = [tex](6x+2)(3x+7)[/tex]

After multiplying the above-given values, you will get

= [tex]18 x^2 + 42x + 6x+14 -64[/tex]

After simplifying the above value, you will get the final value or the area of the park not occupied by the turtle pond = [tex]18 x^2 + 48x -50 ft^2[/tex]

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Final answer:

To calculate the area of the park not occupied by the pond, first compute the total area of the park as (6x + 2)(3x + 7). Then subtract the area of the square pond, 64 sq. ft, to get the final expression for the unoccupied park area: (6x + 2)(3x + 7) - 64.

Explanation:

The subject of this question is Algebra, specifically forming an expression for the area of a rectangle and subtracting the area of a square. First, calculate the total area of the rectangular park. The area of a rectangle is given by the product of its length and width. So, the total area of the park is (6x + 2)(3x + 7).

Second, find the area of the turtle pond. Since it's a square with a side length of 8ft, its area is 8*8 = 64 sq. ft.

Finally, to find the area of the park that is not occupied by the turtle pond, subtract the area of the pond from the total park area. So, the final expression is (6x + 2)(3x + 7) - 64.

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i am testing to see how this works anyone can respond

Answers

Answer:

oh

Step-by-step explanation:

ok

the answer must be a correct answer

the table in the lesson shows the number of sets of twins, triplets, quadruplets, and quintuplets registered at a twin convention. write and evaluate an expression for the total number of people who registered at the convention.

Twins: 2697
Triplets: 29
Quadruplets: 2
Quintuplets: 1

Order of operations 1.3

Answers

Answer:

  5494

Step-by-step explanation:

Assuming all members of each set registered, the total number is ...

  2(2697) +3(29) +4(2) +5(1) = 5494

__

Since you're concerned with order of operations, perhaps you want to see the working out.

  = 5394 + 87 +8 +5 . . . . perform all the multiplications

  = 5481 +8 +5 . . . . . . . . . perform addition left to right

  = 5489 +5

  = 5494

Help me on 14 and 15

Answers

Answer:

#14:He has enough gas because he has 3/4 and it is equivalent to 0.75 and 1/4 is equivalent to 0.25 if you add 0.25 twice you get 0.50 therefore you have 0.25 of gas left over

i hope this helps

Answer:

10/12 -8/12 this is like subtracting 10 -8 =2 you keep the denominator which is 12 and u end up with 2/12 simply and you get 1/6

Carmen wants to know the favorite lunch menu among 6th grade students. Which types of survey below would give Carmen valid results?

Answers

Answer: D i think

Step-by-step explanation:

r varies directly as s. Find r when s=10 and k=4

Answers

Step-by-step explanation:

Since, r varies directly as s

[tex] \therefore \: r \: \: \alpha \: \: s \\ \therefore \: r = k s..(1) \: \\ (k = \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \: in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r =40}}[/tex]

Answer:

40

Step-by-step explanation:

r = ks = 4(10) = 40

PLZ HELP ME 3 MINS LEFT 100 POINTS AND BRAINLEIST

Answers

Answer:

width = 12.1

equation : P = 4w + 4.6

Answer:

The width of the rectangle is 12.1 meters

Step-by-step explanation:

Step 1:  Find the width

2w + 2(w + 2.3) = 53

2w + 2w + 4.6 = 53

Step 2:  Combine like terms

2w + 2w + 4.6 = 53

4w + 4.6 = 53

Step 3:  Subtract 4.6 from both sides

4w + 4.6 - 4.6 = 53 - 4.6

4w = 48.4

Step 4:  Divide both sides by 4

4w / 4 = 48.4 / 4

w = 12.1

Answer:  The width of the rectangle is 12.1 meters

In Mrs. Williams class there are 13 students. They each have 4 pieces of white paper. Some of the students, s, also have 3 pieces of blue paper each. In all, the students have 64 pieces of paper. Which equation represents this situation?
A. (13 × 3) + s = 64
B. (s × 3) + 13 = 64
C. s × 3 = 64
D. (13 × 4) + (s × 3) = 64

Answers

Answer:

answer is D

Step-by-step explanation:

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A. {p(t) | p(t){p(t) | p(t) is constant }} B. {p(t) | p(t)=p(t){p(t) | p(t)=p(t) for all t}t} C. {p(t) | p(6)=p(7)}{p(t) | p(6)=p(7)} D. {p(t) | 10p(t)dt=0}{p(t) | 01p(t)dt=0} E. {p(t) | p(t)+2p(t)+8=0}{p(t) | p(t)+2p(t)+8=0} F. {p(t) | p(5)=6}{p(t) | p(5)=6} A ______ macroeconomist believes that the economy is self-regulating and always at full employment. A ______ macroeconomist believes the economy requires active help from fiscal policy and monetary policy to maintain full employment. which statement about federalism is true?a)federalism gives more power to states than to the national government.b)Federalism gives all power to the national government.c)Federalism is a compromise between a unitary and a confederate government.d)Federalism provides a balance between local and state governments. Select the correct inference of the given passage from "The Cask of Amontillado.""These vaults," he said, "are extensive.""The Montresors," I replied, "were a great and numerous family.""I forget your arms.""A huge human foot d'or, in a field azure; the foot crushes a serpentrampant whose fangs are imbedded in the heel.""And the motto?""Nemo me impune lacessit.""Good!" he said.a. Fortunato likes the Montresor family motto.b. Fortunato is forgetful.c. Fortunato is jealous.d. Fortunato does not respect Montresor or his family. Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against them. If the other team scored 3 points, how many balls did Dianna and Becky stop from going into the net? Skin color is often one of the first traits people notice in each other. Studies in zebra fish uncovered a mutation that altered a transport protein and resulted in light-colored fish. This discovery led to the finding that the same gene in humans has a strong influence on skin pigmentation in many populations.Researchers compared the amino acid sequences of the transport protein in zebra fish, puffer fish, mice, and humans. They found many stretches with identical sequences in all four species. Does this mean that the corresponding mRNA base sequences are also the same in these four species? Explain why or why not.a. No because the redundancy of the genetic code means that it is possible for deferent codons to specify the same amino acids.b. Yes, because the amino acid sequences synthesized on base of mRNA sequence base is a result of translation, so if amino acid sequences are identical, the mRNA base sequences will be identical too. c. Yes. because ail codons specify the same amino acids in all organisms. d. No. because stretches with identical sequences in this species mean that the corresponding rRNA base sequences are also the same.