9x^2 - 16 = (px+t)(px-t) both p and t are constants. Which of the following could be the value of p

Answers

Answer 1

Answer:

p = 3

Step-by-step explanation:

9x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Thus

9x² - 16

= (3x)² - 4²

= (3x + 4)(3x - 4)

Compare with (px + t)(px - t)

then p = 3


Related Questions

HELP ME PLEASE i need this

Answers

1.step:-lets name the corner point as in the first photo2.step:- Now find the area of triangle

ABD= 1/2 ×4×8=16

3.step:- NOW find area of the triangle

DBC=1/2 ×4×2=4

4.step:- Now add both triangle area

16+4=20

hope you understood ♤♤♤♤♤♤♤♤

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number

Answers

Answer:

4n-8

Step-by-step explanation:

With n representing the unknown number.

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number.

Let the number be n.

Then the product of 4 and n will be 4n.

Then the expression that represents "8 less than the product of 4 and a number" will be

4n - 8

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

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The area of the circle is 78.5 units. What is the radius? Use 3.14 for pi.

Answers

The radius is 5
5 x 5 = 25
25 x 3.14 = 78.5

Please help and hurry please thank you!
Choose the equation that
represents this situation. Use c to represent the
variable.
Tori received a $50 gift card for her birthday. After buying some clothes, she
had $32 left on the card. How much did she spend on the clothes?
A.c=32+50
B.32c=50
C.32-c=50
D.50-c=32

Answers

Answer:

oh i have done these before but this one is a little confusing bc i got 2 answers B or C

A whippet runs 50 feet in one second. An ostrich can run at 40 mph. A giraffe runs half a mile in a minute. A domestic cat scurries 15 yards in one second. Which animal is fastest?

Answers

Answer:

Step-by-step explanation:

You need to translate these into a common rate.

feet / second is probably the best one.

Whippet: 50/1 = 50 feet / second.

Ostrich: 40 miles/ hour = 40 *[ 1 hour/3600 sec] * [5280 feet / mile] = 58.67 ft/sec

Giraffe: 1/2 mile / minute * [1 minute/60 sec]*[5280 feet/mile] = 1/2 * 5280/60 = 44 feet/second

Cat: 15 yards / sec [ 3 feet/ yard] = 45 feet / second

Looks like the Ostrich is the fastest.

f(x)=2x+5 find f(-6)

Answers

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

–11 + |–19| Please help me!

Answers

The answer is 8 because -19 turns into a positive. So the equation would be -11 + 19. 19 is greater than -11 so the outcome would be positive.

Answer:8

-11+19 (absolute value)

Add the opposite

19-11=8

Keep the sign of the greater absolute value in this case the greater value is ninteen but it can be the negitive.

So your answer is eight (8)

Step-by-step explanation: see above

if the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive none of these

HELP PLEASE!!!!!!!!!!!

Answers

Answer: the converse

Why: “if Q then P”, if 44 then acute

In an inventory of 100 sodas, 65 are
diet and 30 are caffeine-free. Of the
diet sodas, 22 are caffeine-free. If a
soda in the inventory is selected at
random, what is the probability that it
is neither diet nor caffeine-free?

Answers

Answer:

5% I think

Step-by-step explanation:

Its mostly just a guess but I think its 5%

The probability that it is neither diet nor caffeine-free is 0.13.

What is Probability?

Probability is the likeliness of an event to happen.

The number of total sodas = 100

The number of diet soda = 65

The number of Caffeine free sodas = 30

The number of caffeine free sodas out of diet sodas = 22

The number of soda that are neither caffeine nor soda is 100 -65-22 = 13

The probability that it is neither diet nor caffeine-free is 13/100 = 0.13

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HELPPPPPPPP
An angle formed by the intersection of two lines is obtuse. Could the lines be perpendicular? Explain.

Answers

Answer:

no

Step-by-step explanation:

because when lines are perpendicular, the angles are 90 degree angles.

I agree with that answer :):)


A die is tossed. If the number rolled is greater than 2, what is the probability that the number rolled is 3?

Answers

Answer:

1/4

Step-by-step explanation:

The probability that the number rolled is 3 is, 1/4.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A die is tossed.

And, The number rolled is greater than 2.

Here, The number rolled is greater than 2.

Hence, Total outcomes are 3, 4, 5, 6

So, The probability that the number rolled is 3 is,

⇒ 1 / 4

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Solve for X: -7 06 6 6- 0-6

Answers

Answer:

-6<x<9 is the right option.

Solve for the following variable(show your work).

Answers

Answer:

5) x=3 6) x=9 7) x=12 8) x=9

Step-by-step explanation:

Which rules of exponents will be used to evaluate this expression? Check all that apply. StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction

Answers

Answer:
X product of powers
Quotient of powers
Power of a power
X power of a product
Negative exponent
X zero exponent

Hope this helps ʕ•ᴥ•ʔ

Answer:

I thin its B

Step-by-step explanation:

I took the quiz. I hope this helps! sorry if it wrong :)

A rectangle has a length of 8.3cm and a permimeter of 22.4 cm. Enter the widty of the rectangle, in decimal form, in the box.​

Answers

Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

I have a question...is water wet?

Answers

yes, it literally can’t be dry

there is a theory that says since we think it's wet that it gives the feeling so try thinking dryness when u feel water on your skin to see if water I'd actually wet

Question 1
Write the equation of the line that is parallel to this line and passes through the point (7,-2)
y =1/7x-5
O y = (1/7)x - 3
O y = (1/7)x + 1
O y = -7x + 47
O y = -7x + 51

Answers

Answer:

Step-by-step explanation:

y + 2 = 1/7(x - 7)

y + 2 = 1/7x - 1

y = 1/7x - 3

A is the answer

i need help with my math problem 8(−12)=

Answers

Answer:

The answer is -96

Step-by-step explanation:

First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.

I hoped that helped! You are welcome! :)

Help!!!!!!!!!!!!!! Box one and box 2

Answers

42 68. ????????????????

find the value of x and y respectively A. 20, 120 B. 40, 120 C. 30, 140 D. 30,160

Answers

Answer:

Option A:

x=20 and y=120

Answer:

A. 20, 120

Step-by-step explanation:

[tex](4x - 20) \degree = 3x \degree..(vertical \: \angle 's) \\ 4x - 20 = 3x \\ 4x - 3x = 20 \\ \huge \orange { \boxed{x = 20}} \\ \\ 3x \degree + y \degree = 180\degree .. (straight \: line\:\angle 's) \\ 3 \times 20 \degree +y \degree = 180 \degree \\ 60 \degree + y \degree = 180 \degree \\y \degree = 180 \degree - 60 \degree \\y \degree = 120 \degree \\ \huge \red { \boxed{y = 120}}[/tex]

The mass of a textbook is approximately 0.00165 metric ton. How is this number written in scientific notation?

Answers




1.65 x 10 exponent -3 for the 10

What is the justification for step 2 in the solution process?
12 - X= 7x+32
Step 1: -X= 7x + 20
Step 2: -8x= 20
O A. the multiplication property of equality
O B. the addition property of equality
O C. the division property of equality
OD. the subtraction property of equality

Answers

Answer:

c- Division property of equality

Step-by-step explanation:

You would subtract 7x from the other side

Then divide by 8 to get x by itself.

Change 20 5/9 to an
improper fraction.

Answers

Answer:

185/9

Step-by-step explanation:

20 5/9

Multiply 20 by the 9 (the denominator), and you''ll get 180.

Add the 5 (the numerator) to 180, and you'll get 185.

Then, place 185 over the denominator which is 9 and you get 185/9!

Answer:

[tex]\frac{185}{9}[/tex]

Step-by-step explanation:

This is the answer because:

1) The formula of changing mixed fractions to improper fractions is denominator times the whole number plus the numerator

2) Denominator = 9

Whole number = 20

Numerator = 5

9 x 20 + 5 = 185

Therefore, the answer is [tex]\frac{185}{9}[/tex]

Hope this helps!

Can anyone solve this Ill give 25 points

Answers

Answer:

A   x < 3

Step-by-step explanation:

[tex]\frac{5(9-x)}{3} + 1 < 11[/tex]

[tex]\frac{5(9-x)}{3} < 11 - 1[/tex]

[tex]\frac{5(9-x)}{3} < 10[/tex]

5(9-x) < 10*3

5(9-x) < 30

9-x < 30/5

9-x < 6

-x < 6 - 9

-x < -3

x < 3

2x +8=2(x + 4) what is x

Answers

Hey there!☺

[tex]Answer:\boxed{\text{True Solutions}}[/tex]

[tex]Explanation:[/tex]

[tex]2x+8=2(x+4)[/tex]

All of them are true solutions because 2x + 8 is equal to 2(x+4) which shows that is a true solution. So they are all true solutions.

Hope this helps!

The number N was increased by 20%, and then the result was again increased by 20% By what percent is the final result greater than the
original number?
E. 44%
F. 40%
G. 20%
H. 10%

Answers

F because its common sense its 40% greater

Answer:

44%

Step-by-step explanation:

Suppose the original number is 100.

It is increased by 20 %, so the result will be 120.

The resulting number is again increased by 20%, which is increased by 120 *20/100, which is increased by 24. The final result will be 120+24 that is 144.

The final result is increased by 44 compared to the original number 100.

So, increase by 44%.

two decimals that are equivalent to (4 × 10) + ( 7 × 1/100)

Answers

Answer:

0.07 ibelive hope this helps

Step-by-step explanation:

Help me please. I need your help please.

Answers

Answer:

8/54 or 4/27

Step-by-step explanation:

(8/9)/6 =

8/9 ÷ 6 when divide turn the division sign into multiplication and flip the second fraction ( reciprocal))

8/9*1/6 = 8/54  if simplified =4/27

Answer:

4/27

Step-by-step explanation:

8/9 ÷ 6 = 4/27

What is the answer to -4x = 12

Answers

Steps to solve:

-4x = 12

~Divide -4 to both sides

x = -3

Best of Luck!

Answer:

x=-3

Step-by-step explanation:

-x=12/4

-x=3

×=-3

A fuel tank has a volume of 34 gallons. When filled with biodiesel, it provides 4,250,000 BTUs. How many BTUs does 1 gallon of biodiesel yield?

Answers

4,250,000/34 = 125,00 :)
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