Mathematics High School

how can i solve that equation by factoring

Answers

Answer 1

Answer:

y = ( x + 3 )( x + 5 )

Step-by-step explanation:

N/A

Answer 2

Answer:

[tex]y = {x}^{2} + 8x + 15 \\ factors \: = 3 \: and \: 5 \\ y = {x}^{2} + 3x + 5x + 15 \\ y = x(x + 3) + 5(x + 3) \\ y = (x + 5)(x + 3) \\ either \: (x + 5) = 0 \: or \: (x + 3) = 0 \\ x = - 5 \: and \: - 3[/tex]

Related Questions

simplify the expression - 1/2 (- 5/6 + 1/3)

Answers

Answer: 1/4

Step-by-step explanation:

Answer:

1/4 would be your answer.

Step-by-step explanation:

Hope this helps!, and if this Is wrong someone correct me.

Janet walks 950 metres every day. Determine what distance would Janet walk in an entire week. Express your answer in kilometres. (Remember to show your work

Answers

Answer:

6.65 kilometers

Step-by-step explanation:

950 * 7 days a week = 6650 meters

6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers

Answer:

6.65 km

Step-by-step explanation:

Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable

[tex]\frac{950}{1}=\frac{x}{7}[/tex]

Step 1: Switch sides

[tex]\frac{x}{7}=\frac{950}{1}[/tex]

Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{7}=950[/tex]

Step 3: Multiply both sides by 7

[tex]\frac{7x}{7}=950\cdot \:7[/tex]

Step 4: Simplify

[tex]x=6650[/tex]

Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers

Therefore, Janet would walk 6.65 km in an entire week

The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.

Answers

Answer:

a. Firat term of the sequence= 77

b. 29th term of the sequence= -35

c. Sum of the first 40 terms of the sequence= -40

Step-by-step explanation:

The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

Given that, [tex]a_{15} =21[/tex] and d=-4.

What is the nth term of the arithmetic sequence?

The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].

To find the first term of the sequence:

[tex]a_{15}[/tex]=a+(15-1)(-4)

⇒21=a+(15-1)(-4)

⇒a=77

To find the 29th term of the sequence:

[tex]a_{29}[/tex]=77+(29-1)(-4)=-35

To find the sum of the first 40 terms of the sequence:

The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]

[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]

=20(154-156)=-40

Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

To learn more about the arithmetic sequence visit:

https://brainly.com/question/15412619.

#SPJ2

The expression w4 - 36 is equivalent to
A (W2 – 18)(w2 – 18)
B (w2 + 18)(w2 – 18)
C (w2 - 6)(w2 – 6)
D (w2 + 6)(w2 – 6)

Answers

The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

What is equivalent expression?

Equivalent expressions are expressions that work the same even though they look different.

According to the given question.

we have an expression [tex]w^{4} -36[/tex]

The equivalent expression of the above expression can be given by

[tex]w^{4} -36[/tex]

⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]

⇒[tex](w^{2}-6)(w^{2} +6)[/tex] (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )

Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Thus, option D is correct.

Find out more information about equivalent expression here:

https://brainly.com/question/27733205

#SPJ2

How do you calculate this?

Answers

Answer:

hdwhdbehqj

Step-by-step explanation:

223499

3344rbjee

Please help asap will mark brainliest!!!!

Answers

Answer:

2,600.00

Step-by-step explanation:

simplify………………………. look at the picture for the question thanks

Answers

Answer:

C) 2y^6/x^8

Step-by-step explanation:

Mathtype won't work on here, sorry.

Hope this helped! :)

If the sides of a right triangle are 6 feet and 8 feet, what is the length of the hypotenuse? *

Answers

Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

Answer:

Hypotenuse = 10.

Step-by-step explanation:

h^2 = 6^2 + 8^2

= 36 + 64

= 100

So h= 10.

According to the stem-and-leaf plot above, how many drivers travel below 80 miles hour per hour? A. 2 B. 6 C. 14 D. 5

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

The question is incomplete, as the required stem-and-leaf plot is not available. I will answer this question with the attached plot

Required

Drivers that travel below 80 mph

A stem and leaf plot has the following syntax: Stem | Leaves

Take for instance:

7 | 2 3 4 7

The above represents 72, 73, 74 and 77

Using the above illustration, the attached leaf plot can be interpreted as:

60, 61, 61, 65, 66, 66, 67

71, 73, 76, 77, 78

80 81... and so on

The drivers that drive below 80 mph are:

60, 61, 61, 65, 66, 66, 67

71, 73, 76, 77, 78

And the frequency is: 12

Hence, 12 drivers travel below 80 mph (using the attached stem and leaf plot)

PLEASE HELP....ITS DUE TOMORROW !!!!

Answers

Answer:

Aired

Step-by-step explanation:

Create a number line. Plot the following numbers on the number line: 5, -10, 20, -5, 0, 10, -20

Answers

-20,-10,-5,0,5,10,20

Please help I’ll make you the brainiest

Answers

Answer:

y=13*17/27=8.185=8.19

Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)

a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school

b
Yes, it is a valid inference because he asked all 26 students in his science class

c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class

d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school

Answers

Answer: d. No, it is not a valid inference because his classmates do not make up a random sample of the students in the school

Step-by-step explanation: this i because there is a possible bias present in his population

Hope this helps!

i will giv brainllents

Answers

Answer:

p=(17/2)(52/68)

Step-by-step explanation:

logic

Answer:

The correct answer is the 3rd option

Hope this helps!

Mark me brainliest if I'm right :)

How much farther is 1.5 miles than 0.5 miles

Answers

Answer:

1 mile.

Step-by-step explanation:

Answer:

1.5 - 0.5 = 1 mile

using the keyword "than" you subtract

Choose the inequality that represents the following graph.

Answers

Answer:

b is the answer I believe so because it have to be greater than 0

Step-by-step explanation:

I hope it's right and if not my bad

HELP

Manny bought some cans of paint and 3/4 of a liter of special paint additive formulated to
reduce mildew. Before painting his house, he used all of the additive to put 3/8 of a liter of
additive in each can. How many cans of paint did Manny buy?
Write your answer as a fraction or as a whole or mixed number.
cans

Answers

Answer:

Step-by-step explanation:

what are the next two terms in the sequence?: 1, -2, 4, -8

Answers

Answer:

16 and -32

Step-by-step explanation:

-2÷1 = -2

4÷(-2) = -2

-8:4 = -2

So this is a geometric sequence with a common ratio of -2

Therefore:

the 5th term: -8×(-2) = 16

the 6th term: 16×(-2) = -32

What is the inverse of f(x)=3x^2

Answers

Answer:

f^-1 (x)=sqrt(x/3), -sqrt(x/3).

Step-by-step explanation:

f(x)=3x^2

y=3x^2

x=3y^2

y^2=x/3

y=sqrt(x/3), -sqrt(x/3).

Answer:

[tex]y=3x^2[/tex]

Step-by-step explanation:

There is no step-by-step explanation because it's a graph. Well, it's how I did it. Therefore, the graph in the picture that I'm about to post will be your answer.

Multiply (4x+2)(2x+6)
What is the middle term of the simplified answer?

Answers

Answer:

28x

Step-by-step explanation:

Use foil to get

8x^2 +28x+12

middle term is 28x

whats 8 over x-2 =24 over 7 in solving proportions NO LINKS

Answers

Answer:

[tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{8}{x-2} =\frac{24}{7}[/tex]

[tex]x=\frac{1}{3}[/tex]

N = 16 - (3 + 2) I dont know what this is.

Answers

Answer:N=11

Step-by-step explanation: 16-5 is 11, and that is equal to N

ANSWER ASAP!!!!!!!!!!!!!!

If a party hat has a radius of 3 inches, what is the area of the circular base?

Area of a circle = πr2

A = ( ) Pi inches squared

Answers

Answer:

9pi

28.278

Step-by-step explanation:

If you need the exact answer just type in 3.142x3 Squared then it will give you the exact answer but if not just find the pi button on the calculator and put in pi x 3 squared

(X-5)^2 in quadratic standard form

Answers

(x-5)^2

x^2 - 10x + 25

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