Which is a factor of 45x^4−5x^2? Show work.


a. 5x+2 b. 9x−1 c. 6x+5 d. 3x−1

Answers

Answer 1

Answer:

d. 3x - 1.

Step-by-step explanation:

45x^4−5x^2

The GCF is 5x^2 so we have:

5x^2(9x^2 - 1)

The expression in the parentheses is the difference of 2 squares so:

= 5x^2(3x - 1)(3x + 1)


Related Questions

I really need help please :(

Answers

Answer: 125 mg per serving for orange juice. 90 mg per serving for cranberry

Step-by-step explanation:

The dial on an old telephone is a plastic ring 8cm in diameter with a4cm diameter hole in the center. Ten small dialing holes each of diameter 1.2cm are cut out of the ring

Answers

Answer:

Area of remaining plastic = 36.55 cm² (Approx.)

Step-by-step explanation:

Given:

Diameter of plastic dial of telephone = 8 cm

Diameter of middle hole = 4 cm

Diameter of ten small holes = 1.2 cm

Find:

Area of remaining plastic

Computation;

Radius of plastic dial of telephone = 8/2 = 4 cm

Radius of middle hole = 4/2 = 2 cm

Radius of ten small holes = 1.2/2 = 0.6 cm

Area of remaining plastic = Area of plastic dial - Area of middle hole - 10[Area of small holes]

Area of remaining plastic = π(4)² - π(2)² - π(0.6)²

Area of remaining plastic = π(16) - π(4) - π(0.36)

Area of remaining plastic = π[16 - 4 - 0.36]

Area of remaining plastic = π[11.64]

Area of remaining plastic = (3.14)(11.64)

Area of remaining plastic = 36.5496

Area of remaining plastic = 36.55 cm² (Approx.)

Parallelogram ABCDABCDA, B, C, D has the following vertices: A(0,8)A(0,8)A, left parenthesis, 0, comma, 8, right parenthesis B(8,4)B(8,4)B, left parenthesis, 8, comma, 4, right parenthesis C(2,-8)C(2,−8)C, left parenthesis, 2, comma, minus, 8, right parenthesis D(-6,-4)D(−6,−4)D, left parenthesis, minus, 6, comma, minus, 4, right parenthesis Is parallelogram ABCDABCDA, B, C, D a rectangle, and why?

(Choice A)
A
Yes, because AB=ADAB=ADA, B, equals, A, D and BC=CDBC=CDB, C, equals, C, D, and ABCDABCDA, B, C, D is a parallelogram.

(Choice B)
B
Yes, because \overline{BC}
BC
start overline, B, C, end overline is perpendicular to \overline{AB}
AB
start overline, A, B, end overline, and ABCDABCDA, B, C, D is a parallelogram.

(Choice C)
C
No, because \overline{AB}
AB
start overline, A, B, end overline is shorter than \overline{AD}
AD
start overline, A, D, end overline.

(Choice D)
D
No, because \overline{BC}
BC
start overline, B, C, end overline is not perpendicular to \overline{AB}
AB
start overline, A, B, end overline.

Answers

Answer:

Yes, because \overline{BC}  

BC

start overline, B, C, end overline is perpendicular to \overline{AB}  

AB

start overline, A, B, end overline, and ABCDABCDA, B, C, D is a parallelogram.

Step-by-step explanation:

I did it on khan academy and I got it right

What is the length of the apothem of the regular polygon?​

Answers

Answer:

14.49

Step-by-step explanation:

I need help with this, please

Answers

Answer:141.3

Step-by-step explanation:

The volume would be the Cone + Cylinder. So, use 1/3 x pi x r^2 x h and since the height is 6-3=3, you get 9 x 3.14 x 6 x 1/3 which is 56.52. The volume of the cylinder is pi x r^2 x h, which is 9 x 3.14 x 3, is 84.78. Now, add 56.52+84.78 = 141.3. Hope this helps

LeBron flips a coin 3 times. What is the probability of LeBron getting tails AT LEAST twice in a row? (Note: If he gets tails more than twice in a row, this also counts). Please draw an organized probability tree as part of your answer and show all of your work leading up to your answer.

Answers

Answer:

3 / 8

Step-by-step explanation:

From the tree diagram provided :

Required outcome = atleast two consecutive tails :

(HTT) ; (TTH) ; (TTT) = 3

TOTAL POSSIBLE OUTCOMES = 8

PROBABILITY = REQUIRED OUTCOME / TOTAL POSSIBLE OUTCOMES

HENCE ;

P(ATLEAST TWO TAILS IN A ROW) = 3 / 8

A triangle has a hypotenuse of length 25 and one leg of length 24. What is the tangent of the larger acute angle of the triangle?

Answers

Answer:

[tex] \sin( \theta) = \frac{24}{25} \\ \theta = { \sin }^{ - 1} ( \frac{24}{25} ) \\ \theta = 73.7 \degree \\ \\ \tan( \theta) = \tan(73.7 \degree) \\ = 3.4[/tex]

24 ft
Explanation:
The Pythagorean theorem states that the sum of the squares of the two legs is equal to the hypotenuse squared.
7
2
+
x
2
=
25
2

I'll use x to represent the unknown leg.
49
+
x
2
=
625
x
2
=
576
x
=
±
24

Eliminate the -24 answer choice; a side length cannot be negative
The other leg is 24 ft.

help plz
what's [tex]\sqrt{8*8}[/tex]
Thx!!

Answers

Answer:

8

Step-by-step explanation:

[tex]\sqrt{8*8}[/tex] = [tex]\sqrt{64}[/tex]

[tex]\sqrt{64}[/tex] = 8

Hope this helps!

Answer:

Solution given:

[tex]\sqrt{8*8}[/tex]

[tex]\sqrt{8²}[/tex]

[tex]\large \bold{8}[/tex]

The menu at the 51's baseball game has 8 flavors of drinks, 4 types of french fries, and 3 types of hamburgers. How many different ways could you purchase a drink, fries, and hamburger? (Combination)

Answers

Answer:96

Step-by-step explanation:

It's super easy you just multiply 8x4x3=96

and that gives you the answer

Simplify: 7!
5,040
40,320
7
720

Answers

5040, I looked up the factorial of 7

Answer:

no.1 -5040 is the correct answer

I need to know the surface area of this prism please help !!!! I will give brainlist !

Answers

Answer:

614

Step-by-step explanation:

15 x 13 = 195    two times   195 x 2 = 390

4 x 15 = 60    two times   60 x 2 = 120

4 x 13 = 52      two times   52 x 2 = 104

104 + 120 + 390 = 614

Answer:

SA = 2(l·w)+2(w·h)+2(l·h)

SA = 614 sq in

Step-by-step explanation:

SA = 2(4x13)+2(13x15)+2(4x15)

= 2(52)+2(195)+2(60)

= 104 + 390 + 120

= 614

163 * 80 − 153 * 47 − 153 * 33 compute in the most rational way BRAINLIEST IF CORRECT

Answers

Answer:

820

Step-by-step explanation:

Some people may get confused and just calculate this question from left to right, but I was taught to use this formula:

Brackets

Exponents

Division

Multiplication

Addition

Subtraction

--------

So lets multiply first,

163 × 80 = 13,040

153 × 47 = 7,191

153 × 33 = 5,049

-------

Next, we subtract:

13,040 - 7,191 - 5,049 = 820

------

Have a good day :)

Find the roots of f(x)=x^2+10x−96

I really just need the step by step-
cant find out how to get the answer

Answers

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0  or  x - 6 = 0

x = -16 or x = 6

Isabella is going to invest $2,400 and leave it in an account for 13 years. Assuming
the interest is compounded monthly, what interest rate, to the nearest hundredth of a
percent, would be required in order for Isabella to end up with $3,800?

Answers

Answer:

i got 0.048%

Step-by-step explanation:

Answer:

r=3.54%

Step-by-step explanation:


What is considered the most famous impossible problem from Greek
antiquity?
A. Bisecting any angle
B. The Koch curve
C. The Delian problem
D. Playfair's axiom

Answers

Answer: C: the Delian problem

Step-by-step explanation: the Delian problem includes doubling a cube which was a famous impossible problem

The most famous impossible problem from Greek antiquity is The Delian problem.

What is Greek antiquity?

The Greek difficulties of antiquity were a collection of geometric issues, and the only tools available to solve them were a compass and a straightedge. The only problems are:

Duplication of cubes.angle trisectionsquaring of circles

Solution:

The Delian problem, doubling the cube, is considered one of the most famous impossible problems from Greek antiquity. Two others are the trisection of the general angle and squaring of a circle(also a famous problem)

Whereas the other options like the Koch curve, bisecting any angle and playfair's axiom is known for its possibilities.

Hence the Delian problem is the most famous impossible problem from Greek antiquity.

Learn more about "Greek antiquity" here-

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Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?


A){2 +√11 , 2 - √11}

B){-2 +√11 , -2 - √11}

C){2 + √11, 2 +√11 }

Answers

Answer:

        A) {2 +√11 , 2 - √11}

Step-by-step explanation:

[tex]x^2 - 4x-7=0\\\\\underline{x^2 - 2\cdot x\cdot2+2^2}-2^2-7 =0\\\\\big(x-2\big)^2-4-7=0\\\\ \big(x-2\big)^2=11\\\\ x-2=\pm\sqrt{11}\\\\ x=2\pm\sqrt{11}[/tex]

Which is the length of HJ expressed in terms of π?
PLZ help

Answers

Answer:

B. 9π/20

Step-by-step explanation:

Which is the length of HJ expressed in terms of π?

PLZ help

The formula to calculate arc length when central angle is in degrees =

Arc length = θ/360 × 2πr

r = radius = 1

θ = 81°

Hence:

Arc length in π =

= 81/360 × 2 × π × 1

= 162π/360

= 9π/20

Therefore, the arc length = 9π/20

Option B is the correct option

Help, I dont get it, Like how do I do the division?

Answers

The answer is 10 units^3

Answer:

Step-by-step explanation:

you actually dont have to do any division in this problem. since you know the area of the square and its depth, you simply multiply to two fractions, so [tex]\frac{25}{4} *\frac{8}{5}[/tex] when you multiply fractions all you do is multiply the tops and and bottoms, so 25 * 8=200 and 5 * 4=20, so the fraction is now 200/20, so when divide both sides by 20, the answer is 10. another way to demonstrate this in case you didnt understand is that you can rewrite your equation as [tex]\frac{25 * 8}{4 * 5}[/tex] then all you have to do is perform the opperation.

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

PLEASE HELP WILL GIVE BRAINLY!!

Which object has a taller height based on the given information?

Object A: a parallelogram with an area of 60m2 and a base of 10m
Object B: a parallelogram with an area of 40m2 and a base of 4m

Answers

Object b is taller because object a would be 10x6 but object b would be 4x10 so 10 is taller than 6

Answer:

Which object has a taller height based on the given information?

Object A: a parallelogram with an area of 60m2 and a base of 10m

Object B: a parallelogram with an area of 40m2 and a base of 4m

Object A

OR

Object B: (Correct)

Step-by-step explanation:

Because the base of B is 4m but the hight is 10m2 because 10x4=40

What is the area of the
triangle?
6 mm
8 mm
square millimeters

Answers

Answer:

24 square millimeters

Step-by-step explanation:

Area of a triangle is half of the base times the height.

[tex]\frac{1}{2} bh[/tex]

Here, that means

[tex]\frac{1}{2}[/tex](8)(6) = 24 square millimeters

A recipe for peanut butter cookies uses only peanut butter ,sugar ,syrup and egg in the ratio 5:4:2:1
A) wants to makes 2.4kg of cookies
How much of each ingredient should he use.
B) using this recipe 10ph of syrup is needed to make 15 of these cookies

Answers

The answers is b..........

A)butter= 12

sugar  = 9.6

syrup= 4.8

eggs= 2.4

What is ratio?

A ratio indicates how many times one number contains another.

Given:

5:4:2:1

Let the common ratio be x

So, butter= 5x

sugar= 4x

syrup = 2x

egg= x

As, eggs= 2.4 kg

So, x= 2.4

Now,

butter= 5x = 5* 2.4 = 12

sugar= 4x = 4* 2.4 = 9.6

syrup = 2x  = 2* 2.4 = 4.8

Learn more about ratio here:

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A coffee shop sold small coffees for $2 and large coffees for $2.50. At the end of a day the shop sold 450 cups of coffee for a total revenue of $950. How many large coffees were sold?
Write two equations for this problem and solve using substitution

Answers

Step-by-step explanation450 x 2.50 = 1125.

1125 - 950 = 175

I use the substitution method

What is the value of en7x?
1
O 1
o 7e
O 7x
07

Answers

Answer:

im not sire u tell me like i think its 07

The value of the given expression is 7x.

What is an expression?

A mathematical statement containing variables and numbers connected by at least one arithmetic operation is called an expression.

Given is an expression, [tex]e^{ln7x[/tex]

Let

[tex]y = e^{ln7x[/tex]

Taking ln both the sides,

[tex]ln(y) = ln(e^{ln7x})[/tex]

㏑ y = ㏑ 7x ㏑ e

㏑ y = ㏑ 7x

y = 7x

Hence, the value of the given expression is 7x.

Learn more about expressions, click;

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heyy! i’ll give brainliest please help

Answers

Answer:

Step-by-step explanation:

Always capitalize the names of the seasons

Answer:

Pretty sure you don't capitalize seasons. I guess you can capitalize it when it's the first word of a sentence or part of a proper noun.

Please help me with this math question will mark brainliest

Answers

Answer:

-9

Step-by-step explanation:

Using the sum/difference property of logarithms, we can rewrite the expression given as:

log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5

Next, we can use the power property of logarithms, and rewrite it again as:

3log b + 3log c - 1.5log a

Now, we can substitute the values of log a, log b, and log c:

3(11) + 3(-9) - 1.5(10)

33 - 27 - 15

-9

Simplifying, we get -9 as the answer.

is -2 less then 6
Yes or no

Answers

Answer:

Yes

Hope that this helps!

Answer:

yes -2 is less then 6

Please help me no links

Answers

Answer:

A =30 degrees

angle at circumference is 2x the angle in the centre

An angle that measures 100° is an angle
a. acute
b. plain
c. straight
d. obtuse​

Answers

Answer:

obtuse

Step-by-step explanation:

x=15-y
y=13-z
z=12-x

Answers

Answer:

x = 7; y = 8; z = 5

Step-by-step explanation:

x = 15 - y

y = 13 - z

z = 12 - x

The first equation is solved for x. Substitute x in the third equation with 15 - y from the first equation.

z = 12 - (15 - y)

z = 12 - 15 + y

z = y - 3       (Equation 1)

Now substitute y - 3 for z in the original second equation.

y = 13 - z

y = 13 - (y - 3)

y = 13 - y + 3

2y = 16

y = 8

Substitute 8 for y in Equation 1.

z = y - 3

z = 8 - 3

z = 5

Substitute 5 for z in the original third equation.

5 = 12 - x

-7 = -x

x = 7

Solution: x = 7; y = 8; z = 5

А(1,5) B(7,-9) are two points
AB is divided into four equal parts at C, D
and E Find the coordinates
of C, D and E​

Answers

Answ  Find the distance between the following pairs of points:

           (i) (2, 3), (4, 1) (ii) (–5, 7), (–1, 3) (iii) (a, b), (–a, –b)Sol. (i) Here x1 = 2, y1 = 3, x2 = 4 and y2 = 1         ∴ The required distance         er:

Step-by-step explanation:

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