Which equation(s) have -4 and 4 as solutions?
A. x2 = 8
B. x2 + 16 = 0
C. 2x2 = 32
D. -3x2 = -48
E. 6x2 + 56 = -40
F 27 - 5x2 = -53

Answers

Answer 1
C because...
2x^2 = 32 becomes...
2x^2 - 32 = 0 (FACTOR OUT THE 2!)
2(x^2 - 16) = 0 —> now we have a difference of squares
2 (x + 4) (x - 4) = 0
Our two solutions are 4 and -4.

Related Questions

3. Find the measure of each indicated arc or the measure of an inscribed angle.

b. Find the measure of Arc BAD

Answers

Answer:

Step-by-step explanation:

Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.

find the inverse of the given function h(x) = 2x-4/3

Answers

Answer:

[tex]h^-^1(x)=0.5x+1.5[/tex]

Step-by-step explanation:

Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.

[tex]h(x) = 2x - \frac{4}{3}[/tex]

Inverse operations,

[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]

Simplify,

[tex]0.5(h(x))+1.5=x[/tex]

Write in inverse function notation,

[tex]h^-^1(x)=0.5x+1.5[/tex]

At Mike’s Pet shop there are 300 total animals and the ratio of cats to dogs is 7:3. At Pets R Us there are 150 total animals and the ratio of cats to dogs is 6:4. What fraction of the total animals at both stores are cats? Show your work

Answers

Mikes pet shop: add the ratio: 7+ 3 = 10

Divide total animals by the sum:

300/10 = 30

The ratio of cats is 7

Total cats = 30 x 7 =210

Do the same for Pets R Us:

Ratio: 6 + 4 = 10

150/10 = 15

Cats = 15 x 6 = 90

Total cats = 210 + 90 =300

Total animals = 300 + 150 = 450

Fraction that are cats = 300/450 = 2/3

2/3 of the animals are cats

The height of the trap is 30 inches, the length is 12 inches, and the width is 10 inches. What is the surface area that you need to coat with glue? Remember there is no top or bottom to this trap and you are just coating the outsides of it.

Answers

Answer:

Surface area of four outer sides = 1,320 inch²

Step-by-step explanation:

Given:

Height of trap = 30 inches

Length of trap = 12 inches

Width of trap = 10 inches

Find:

Surface area of four outer sides

Computation:

Lateral Surface area of cuboid = 2h[l + b]

Surface area of four outer sides = Lateral Surface area of cuboid

Surface area of four outer sides = 2h[l + b]

Surface area of four outer sides = 2(30)[12 + 10]

Surface area of four outer sides = 2(30)[22]

Surface area of four outer sides = 1,320 inch²

Acri invested $500 for 3 years at the rate of 2.8% per year compound interest. Calculate the final amount he has after 3 years

Answers

Answer:

[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]

A = 500(1 + .028/1)^ (3*1)

$543.19

Step-by-step explanation:

A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?

Answers

Answer

8,98

Step-by-step explanation:

the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs

At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
please don't leave a link just answer

Answers

Answer:

y is 8/5 when x = -4.

Step-by-step explanation:

If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.

If "y=-8,when x=20," then we can find k:    -8 = 20k, or k = -2/5.

Then y = (-2/5)x.

If x = -4, then y = (-2/5)(-4) = 8/5

y is 8/5 when x = -4.

35 and 50 (make a chart, list all factors, and make factor tree)

Answers

Answer:

35          50

1             2

5            5

7            10

35         25

             50

Factor Trees are in the images!

Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books.Which equation and solution shows the total weight of the set of books A.
w=16×0.8w=12.8 kg, B.w=16−0.8w=15.2 kg
c.w=16+0.8w=16.8 kg D.w=16÷0.8w=20.0 kg

Answers

b will be ur answer bc the weight of set of books

How many dolls can Julie and Erin make with the amount of black velvet they have? Complete the model to represent the problem.​

Answers

what’s the problem? show a picture of it 15


If two lines are perpendicular, their slopes are negative reciprocals

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Both slopes have to be negative reciprocals for the two lines to be perpendicular.

Hope this Helps!

Please help me on this problem, im struggling

Answers

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.

in how many ways can a principal choose 3 of their 30 teachers to attend a conference

need ko po ng explanation please.....​

Answers

Answer:

[tex]4,060[/tex]

Step-by-step explanation:

[tex]\binom{30}{3}=\boxed{4060}[/tex]

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].

Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]

Write a numerical expression for the verbal expression
eight times six divided by two minus nine

Answers

Answer:

Step-by-step explanation:

Ahh

(8*6)/2-9 there are like a lot of ways to write this btw but this is one and it’ll result in 15

No files just type it in please and thank you<3

Answers

Answer:

Option C is correct

Step-by-step explanation:

[tex]8 + 8 + 8 + 8 + 8 + 8 = 48[/tex]

[tex]6 \times 8 = 48[/tex]

Hope it is helpful...

Anna is cutting several lengths of twine. The length of the first piece is 4 inches. She cuts the second piece one inch longer than 3 times the length of the first piece. If Anna continues the pattern, which sequence shows the lengths of the first four pieces?

Answers

Answer:

the pattern is 4, 13, 4, 13. I dont know what the answer choices are, but the first 4 legths put together are 34 inches.

Step-by-step explanation:

look above, hope this helps...

brainliest...

Answer:

The order of the first four strings is 1: 4in 2: 13in 3: 40in 4: 121in

What is the product?

(2y +3)(3y^2+ 4y +5)

Answers

Answer:

6y^3 + 17y^2 +22y + 15

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

type of lines can be found in letter T vertical and _______​

Answers

Answer:

Horizontal

Step-by-step explanation:

A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60|t − 1.25| shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?
b. What is the average rate of change from 1.5 h to 2 h? What does the
average rate of change represent?

Answers

Answer:

(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b.

[tex]s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour[/tex]

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)The average rate of change represent is 16.25 miles per hour.

What is a function rule? A functional rule is the relationship between an input or domain and an output or scope.A relation is a function only if it has a value within each domain value.Functions are written like where is the input value. The general form of the function is:A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)

s1 = d1/t1

15/1.5

s1 = 10 miles per hour

s2 = d2/t2

22.5 miles per hour

Average = 16.25 miles per hour.

To learn more about functions, refer

brainly.com/question/25638609

#SPJ2

What is the value of the expression, written in standard form?

Answers

Answer:

200

Step-by-step explanation:

6.6/3.3 = 2

10^-2 / 10^-4 = 10^2

10^2 = 100

2 x 100 = 200

a) How many possible outcomes are there when 3 coins are tossed? b) What is the probability of getting 3 heads? c) What is the probability of getting exactly one heads?

Answers

Answer:

a) there are 6 possible outcomes. b) the probability of getting 3 heads would be 3/6. c) the probability of getting 1 head is 1/6.

Give the Solution to the System of
Equations shown below
YA
6
5
4
3
2
1
-4
-3
-2
10
1
2
3
-1
2

Answers

Answer:

Step-by-step explanation:

-10 g

What is the measurements for me b ?

Answers

Answer:

Step-by-step explanation:

Angle b and the one that measures 76 are vertical angles. That means that they also have the same exact angle values. Therefore, b = 76 degrees

I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.

Answers

hey there, i might be interested in this deal. how much will i be getting paid?

Circle o centered at the origin that passes through (9,-2)

Answers

Answer:

Step-by-step explanation:

center at the origin means

x^2 + y^2 = r^2

9^2 + (-2)^2 = 81+4 = 85, so the circle is

x^2 + y^2 = 85

center at (0,-2) means

x^2 + (y+2)^2 = r^2

(-6)^2 + (0+2)^2 = 36+4 = 40

x^2 + (y+2)^2 = 40

The equation of circle which is centered at the origin that passes through (9,-2) is,

⇒ x² + y² = 85

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

Circle o centered at the origin that passes through (9,-2).

Now, We can find the radius of circle as;

Radius of circle is distance between (0, 0) and point (9, - 2).

⇒ r = √ (- 2 - 0)² + (9 - 0)²

⇒ r = √4 + 81

⇒ r = √85

Thus, The equation of circle which is centered at the origin that passes through (9,-2) is,

⇒ x² + y² = (√85)²

⇒ x² + y² = 85

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

Evaluate 5c−3d+115c-3d+115c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c=7c, equals, 7 and d=8d=8d=8d, equals, 8.

Answers

Answer:

use substitution

(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22

Answer:

22

Step-by-step explanation:

Need help with this math

Answers

Here is all of my work from answering the question. I’ll put pictures too, my handwriting is pretty good so it should be easy to see. ;)

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

I used substitution in Part B. 4x and x = 2.

I really hope this is right and helps, good luck! ;)

Help,anyone can help me do quetion​

Answers

geckos sundry cheri suffering augusto

Answer;

B3 = 72°

C3 = 84°

Solution

B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°

C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°

feedback

hope it helps you. thank you.

Find the value of x.

Answers

Answer:

x=9

Step-by-step explanation:

so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9

Answer:

x=9

Step-by-step explanation:

missing angle + 60 + 60=180 degree (sum of interior angles of a triangle

missing angle + 120 =180

missing angle =180 -120

missing angle =60 degree

since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9

help appreciated!!!!!

Answers

Answer:

Step-by-step explanation:

the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.

So ,here a=-1 ,b=-6 and c=-9

b^2=(-6)^2

=36

4ac=4*(-1)*(-9)

=4*9

=36

b^2-4ac=36-36

=0

number of solutions =1

Hope this helps u !!

Other Questions
Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall? what is the Quotient of 16.29100 Organelles are specialized structures that perform important cellular functions; they are structures you can generally see only under a microscrope. Which of the organelles below would you expect to find in all living cells?A) cell membrane B) cell wallC) DNA D) Cytoplasm E) Nucleus F) Chloroplasts The federal tariff of 1828, called the Tariff of Abominations, charged taxes on goods entering the country. This tariff affected the agricultural South more than other regions of the country. In response, the state of South Carolina called for? Which side lengths form a right triangle? estimate the quotient for the following problems. 482 5 Examine the diagram of circle O, where JW and JV are tangent to circle O at points W and V, respectively. The diagram as described in the problem. 2016 StrongMind. Created using GeoGebra. If JW=x8+4 and JV=x4+2, what is the length of JW?a. 2b. 6c. 16d. 10 due at 11 am todaypls solve both and explain in detail 8)Zack has 75 dollars in her bank account. After goingto the hair salon, he is left with 53 dollars. Whatwas the amount he spent at the salon?9)Steph paid the dues for his driving offenses recentlyand was made to pay a fine of 165 dollars for 5 monthsoverdue. How much did he pay as a fine per month? A gas pump filled a 27 gallon tank in 6 minutes.How many minutes will it take to fill an 18 gallon tank? help me plz it would really help u guys help me so much and make me understand my work more The outcome of protein synthesis is ______.A. A glucose moleculeB. An mRNA moleculeC. A protein x912 Express your answer as an inequality. Hi I need help can someone please help An economic system, sometimes called a free market system, in which business is privately owned and operated for profit is known as _______________(finish the sentence) _ refers to exploiting price differences on identical or similar goods, services, assets or factors in different markets. Group of answer choices Externalization Internalization Rationalization Arbitrage Speculation where do the premises for the arguments presented in the declaration of independence appear World impact Asian hate? Subject: FILIPINO1. ano ang pinagkaiba ng giant sa megaPlease help me po need ko po please Read Gwendolyn Brooks' poem, "The Bean Eaters" and answer the question. They eat beans mostly, this old yellow pair. Dinner is a casual affair. Plain chipware on a plain and creaking wood, Tin flatware. Two who are Mostly Good. Two who have lived their day, But keep on putting on their clothes And putting things away. And remembering... Remembering, with twinklings and twinges, As they lean over the beans in their rented back room that is full of beads and receipts and dolls and cloths. tobacco crumbs, vases and fringes. Which of the following sentences best describes the dramatic situation? An old couple has dinner with their daughter. An young woman has dinner with her parents. The speaker, like a fly on the wall, observes an old couple eating dinner. The implied listener talks with an old couple eating dinner. lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx