Factor & Finding Zeros
x^{2} +12x+35=0

Answers

Answer 1

Answer:

x = - 7, x = - 5

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

The factors are + 7 and + 5, since

7 × 5 = 35 and 7 + 5 = 12, hence

x² + 12x + 35 = 0 ← in standard form

(x + 7)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 5 = 0 ⇒ x = - 5


Related Questions

What number is 40% of 200

Answers

That number is 80.

Move 40 two decimal places to the left:

0.40

Multiply

0.40 × 200

This equals

80

Answer: 80

Step-by-step explanation:

(40/100)*200

WILL GIVE THE BRAINLEST

Find the surface area of the triangular prism​

Answers

Answer: 50

To find the surface area of any prism, you multiply the base by the height.

10 x 5 = 50

Which of the following options have the same value as 25% of 64?

Choose 2 answers:

A) 25 • 64
B) 25/100 • 64
C) .25 • 64
D) 64 divided by 25/100
E) 25 divided by 64/100

Answers

Answer:

A) 25 • 64

B) 25/100 • 64

C) .25 • 64

D) 64 divided by 25/100

E) 25 divided by 64/100

B and C i believe

Final answer:

The values that have the same value as 25% of 64 are Options B) 25/100 · 64 and C) .25 · 64, both yielding the correct value of 16 when calculated.

Explanation:

To find the same value as 25% of 64, we need to express 25% in different formats and apply it to 64. Option B) 25/100 · 64 translates the percent into a fraction, then multiplies by 64. Option C) .25 · 64 converts the percentage directly into a decimal, again multiplying by 64. Both expressions will yield the same result, which is the value of 25% of 64.



Options A), D), and E) do not give the correct value. A) is simply multiplication without considering the percentage, D) is incorrect because dividing 64 by a fraction is equivalent to multiplying by its reciprocal, and E) is an incorrect fraction division that does not represent 25% of 64.



Therefore, the correct answers are B) and C).

The polynomial (x-2) is factor of the polynomial 5x^2-6x+4

Answers

Let's simplify step-by-step.

5x^2−6x+4

There are no like terms.

Answer:

=5x^2−6x+4

Answer:

there is no way to simplify this equation therefore, the answer is

5x^2-6x+4

hope this helps :0

Step-by-step explanation:

A pizza restaurant offers the following deals

Answers

Answer:

Step-by-step explanation:

Deal #1: One pizza= $8.99  

Deal #2: One pizza= $6.00  

Deal #1: Two pizzas= $13.99  

Deal #2: Two pizzas= $12.00  

Deal #1: Three pizzas= $18.99  

Deal #2: Three pizzas= $18.00  

Deal #1: Four pizzas= $23.99  

Deal #2: Four pizzas= $24.00  

Therefore, after FOUR pizzas, deal #1 becomes a better deal.  

Tip: Practice some math. You should be able to answer something like this within two minutes MAXIMUM.

The student council at Woodland middle school is planning a field trip. They pulled it randomly selected teachers and students and asked what they want to eat for lunch. Results are shown in the table below.

Answers

I may be the second one because the first one says 19 percent of the people who polled that are teachers prefer burgers. And the second one says 19 percent of the teachers polled prefer burgers, so I think it is the second answer.

Answer:

Step-by-step explanation:

First question:  19% of those who prefered burgers were teachers.  This is true.  We focus on the "Burgers" column and ignore the rest of the table.  

Second question:  19% of the teachers polled prefered burgers.  This is false.  If we look at the "teachers" line, we see that 6 teachers prefered pizza and 4 prefered burgers.  The percentage of teachers prefering burgers was 4 / (4+6), or 4/10, or 40%.

Third question (impossible to read):  19% of the people polled prefer ..... .

False.  That 19% does not pertain to the entire group of people polled.

find the area of the semicircle with a diameter of 18in ​

Answers

The area of a semi-circle with a diameter of 18in is 127.17 inches squared

A fast typist can type 120 words in 100 seconds. At that rate, how many seconds would it take to type 258 words?

Answers

Answer:

215 seconds

Step-by-step explanation:

120 words : 100 seconds = 258 words : x seconds

x = 258*100/120 = 258*5/6 = 43*5/1 = 215 seconds

Answer: 120+120+ 18= 258

You know that it takes 100 seconds for 120 words

120=100 120=100 now we have to find now how many seconds does it take to make 18 words

Plz help me!!!!!!!!!

Answers

Answer:  6

Step-by-step explanation:

x⁶ + x³ + 1 = 0

The only possible rational roots are ± 1.

Use synthetic division to see if either root is valid:

1 |  1     0     0     1     0     0     1

  |  ↓     1      1     1     2     2     2  

     1      1     1      2    2     2      3   ← Remainder ≠ 0 so not a factor

-1 |  1     0     0     1     0     0     1

  |  ↓    -1      1    -1     0     0     0  

     1     -1     1      0    0     0      1   ← Remainder ≠ 0 so not a factor

Since there are no real roots, all 6 roots must be imaginary (complex). You can graph the equation to confirm (see attached). None of the roots cross the x-axis so they are all imaginary.

Which are solutions to 3sin^2 θ - 2sin θ = 0, 90°≤θ≤90°

Answers

Answer:

The solutions of the equation are -41.8° , 0.0° , 41.8°

Step-by-step explanation:

∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function

∵ The domain of the function is -90° ≤ Ф ≤ 90°

- Lets take sinФ as a common factor

∴ sinФ (3 sinФ - 2) = 0

- Two terms multiplied by each other = 0

∴ One of them must be equal zero

∴ sinФ = 0 or 3 sinФ - 2 = 0

- If sinФ = 0 ⇒ Ф = 0.0°

- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3

∵ sinФ 2/3

∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)

∵ -90° ≤ Ф ≤ 90°

∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)

∴ The solutions of the equation are -41.8° , 0.0° , 41.8°

Step-by-step explanation:

Correct Answer is B and C 0.0, and 41.8

What is 72 x 1/4?
I have no clue!​

Answers

Answer:

18

Step-by-step explanation:

Honestly you can just use a calculator for this.

But if you want to know how to actually do it, multiplying something by a fraction is just dividing it by its reciprocal (just flipping the numerator and the denominator).

Therefore...

72/4 is 18, 72 x 1/4 = 18

Answer:

without a calculator u can solve by divideing 72 by 4

answer is 18

Solve for “a”
a - 40 = 21

Answers

Answer:

a = 61

Step-by-step explanation:

Isolate the variable a by adding 40 to each side.

a = 21 + 40

a = 61

A certain type of bacterial cell divides into two cells every hour. So, in a colony of these cells, the population doubles every hour. ANSWER QUICK AND PLEASE BE RIGHT.

Which of the following describes the rate of population growth in this colony?

A. linear
B. both linear and nonlinear
C. nonlinear
D. neither linear nor nonlinear

Answers

Answer:

I don't fully know but my best guess would be Linear?

Step-by-step explanation:

Answer: the answer is nonlinear

Step-by-step explanation:

Please help! Question is in the image! Will mark brainest

Answers

Answer:

−8x−8x+13

for the first -8x it has a 2 for an exponient

hope im not you late :)

Need help ASAP ?!?!?!??!?!??!!?!?!?!?!

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]96units^2[/tex]

Step-by-step explanation:

The total surface area of a cube is given by [tex]6l^2[/tex].

The first cube has side length [tex]l=6[/tex] units.

This cube has total surface area, [tex]6(6)^2=216units^2[/tex].

If the second cube is reduced in size by [tex]\frac{2}{3}[/tex], then the corresponding change in area is [tex]\frac{2^2}{3^2}=\frac{4}{9}[/tex].

the total surface area of the new cube is [tex]=\frac{4}{9}\times 216[/tex].

[tex]=96units^2[/tex]

Which mathematical expression is equivalent to the number sentence below?

Add 18 to 24, and then multiply by 6

a
24 + 18 x 6

b
24 + (18 x 6)

c
18 + ( 24 x 6)

d
(24 + 18) x 6

Answers

your answer is option D

add 18 to 24

(24 + 18)

now multiply by 6

(24+18)× 6

The answer is D (24+18)*6

help me please asap!

Answers

Answer:

xy=20

Step-by-step explanation:

XY = 20
Product indicates that you are multiplying.
Is means equal.

event q is more likely to occur then event t. the probability of event t is 1/2. what is a possible probability of event q?​

Answers

Among the given options, option C) 2/3 is a possible probability for event Q that is greater than 1/2. Therefore, the correct answer is C) 2/3.

If event Q is more likely to occur than event T and the probability of event T is 1/2, then a possible probability of event Q could be any value greater than 1/2.

Let's dive deeper into the concept of probability and explore why option C) 2/3 is a possible probability for event Q.

When we say that event Q is more likely to occur than event T, it means that the probability of event Q is greater than the probability of event T. In this case, we are given that the probability of event T is 1/2.

To find a possible probability for event Q, select a value greater than 1/2. Option C) 2/3 fits this criterion. It indicates that event Q has a probability of 2/3, which is greater than 1/2.

Complete question

Event Q is more likely to occur than Event T. If P(Event T) = 1/2, what is a possible probability of Event Q? A)1/4 B)1/2 C)2/3 D)It cannot be determined.

The possible probability of event q is  is  [tex]\(\frac{3}{4}\).[/tex]

Since event Q is more likely than event T, the probability of event Q must be greater than the probability of event T.

The probability of event T is [tex]\(\frac{1}{2}\),[/tex] so the probability of event Q must be greater than [tex]\(\frac{1}{2}\).[/tex]

This satisfies the condition that event Q is more likely than event T because [tex]\(\frac{3}{4}\) (or 0.75)[/tex] is greater than [tex]\(\frac{1}{2}\) (or 0.5).[/tex]

 It is important to note that there are infinitely many probabilities that are greater than [tex]\(\frac{1}{2}\)[/tex] and less than or equal to 1 (the maximum probability for any event).

However, the question asks for a possible probability, and [tex]\(\frac{3}{4}\) is[/tex] a valid example that meets the given criteria.

(17 Points) Kenzie makes quilts with some blue squares and some green squares. The ratio of blue squares to green squares is shown in the diagram.

Answers

Answer:

Quilt A: 35 green squares.

Quilt B: 12 blue squares.

Step-by-step explanation:

Based on the diagram, there are 3 blue squares for every 5 green squares. Then the ratio can be expressed as:

[tex]3:5\ or\ \frac{3}{5}[/tex]

Therefore, knowing the ratio, you can calculate:

- The number of green squares (G) in quilt A, as following:

[tex]\frac{3}{5}=\frac{21}{G}\\\\G=\frac{21*5}{3}\\G=35[/tex]

- The number of blue squares (B) in quilt B, as following:

[tex]\frac{3}{5}=\frac{B}{20}\\\\B=\frac{20*3}{5}\\B=12[/tex]

Answer:

Step-by-step explanation:

35 green, 12 blue.

Use the distributive property to write an expression equivalent to m x 49

Answers

Answer:

1(m x 49)

Step-by-step explanation:

You cannot do too much with this problem, however multiplying by one will give you the same answer.

Plz help me i need it

Answers

Answer: I believe the correct answer is always because function of a function would be function. So, the answer would be A. always:)

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:   sometimes

Step-by-step explanation:

Examples:

Given the function: y = x

The inverse is: x = y, which IS a function.  

Given the function: y = x²

The inverse is: x = ±√y, which is NOT a function  

Consider the dot plot which shows the distribution of data collected on the amount of time Jason sleeps each night. Find the difference between the mean and median. (round to nearest tenth)
A) 0.2
Eliminate
B) 0.3
C) 0.6
D) 0.8

Answers

Answer:

A) 0.2  

Step-by-step explanation:

From least to greatest, the data points are

6, 6, 6, 7, 7, 7, 8, 8, 8, 9

To find the mean, we find the sum of the data points and divide by the number of data points, 10.  The sum of the data points is

6+6+6+7+7+7+8+8+8+9 = 72

Dividing by 10, the mean is 72/10 = 7.2.

The median is the middle number in the set.  This is 7.

The difference between the mean and the median is

7.2-7 = 0.2.

Answer:

0.2

Step-by-step explanation:

just got it right

Jane orders cheese pizzas from a pizza restaurant that charges $8.00 per pizza. Jane has only $45.00 to spend on pizza. Jane’s cost in dollars is a function of the number of pizzas she orders

Answers

Final answer:

This question relates to the economic principle of a budget constraint. Jane can afford to purchase up to 5 pizzas with her budget, calculated via: Number of Pizzas = Total Budget / Unit Cost per Pizza.

Explanation:

The subject of this question is related to an economic principle of budget constraint in mathematics. Here, Jane's budget constraint is her total budget of $45, and the unit cost per pizza is $8. The budget works as a restriction that states how many pizzas Jane can afford to buy. The number of pizzas she can buy can be calculated as her total budget divided by the unit cost per pizza.

Therefore, the question is asking you to determine how many pizzas Jane can afford to buy with her budget of $45. Using the formula Number of pizzas = Total budget / Unit cost per pizza, we get: Number of pizzas = $45 / $8 = 5.625.

Since Jane can't buy a fraction of a pizza, she can purchase up to 5 pizzas with her available budget.

Learn more about Budget Constraint here:

https://brainly.com/question/34549599

#SPJ12

which number is an irrational number​

Answers

Answer:7 is an irrational number.

Step-by-step explanation: it can be expressed as the quotient of two integers: 7÷ 1.

Plz help me with it

Answers


[tex] \sqrt{x + 8} = \sqrt{2x + 5} \\ x + 8 = 2x + 5 \\ - x = - 3 \\ x = 3[/tex]

Answer:   3

Step-by-step explanation:

[tex]\sqrt{x+8}=\sqrt{2x+5}\\\\(\sqrt{x+8})^2=(\sqrt{2x+5})^2\\\\x+8=2x+5\\\\8=x+5\\\\3=x\\\\\\Check:\\\sqrt{(3)+8}=\sqrt{2(3)+5}\\\\\sqrt{11}=\sqrt{11}\ \checkmark[/tex]

Is this True or False ?

Answers

Answer:

Option B True

Step-by-step explanation:

we know that

A function relates each element of a set  (input) with exactly one element of another set  (output)

1) "...each element..." means that every element in X (input)  is related to some element in Y (output)

2) "...exactly one..." means that a function is single valued. It will not give back 2 or more results for the same input

therefore

f(x) is a function

True or False: mean and median sometimes have the same values

Answers

Answer: True

For example, the mean and median of any arithmetic function is equivalent.

Answer:

True

Step-by-step explanation:

Averages are sometimes called "measure of central tendency". In a distribution with a positive skew, the median has a higher value than the mean. In a normal distribution, the mean, median and mode have the same value. The median has only 50% of the cases below it ONLY in a normal distribution.

494.4 80% of what amount​

Answers

80% × 494.4 =

(80 ÷ 100) × 494.4 =

(80 × 494.4) ÷ 100 =

39,552 ÷ 100 =

395.52;

proof

395.52 ÷ 494.4 =

0.8 =

0.8 × 100/100 =

0.8 × 100% =

(0.8 × 100)% =

80%

╦___________________________________╦

│Hope this helped  _____________________│

│~Xxxtentaction ^̮^ _____________________│

╩___________________________________╩    

Mr. Finch buys a pack of ground coffee. He uses the same amount of ground coffee for each cup of coffee he brews. The equation below describes the relationship between the number of cups brewed (x) and the ounces of coffee (y) remaining in the pack.



How much ground coffee, in ounces, was in the full pack?

A: 3
B: 6
C:15
D:18

Answers

I think it was C:15 but I am not exactly sure

Final answer:

The equation that relates the number of cups brewed to the ounces of coffee remaining is necessary to determine the initial amount of coffee in the pack, which is not provided in the question.

Explanation:

The question does not provide the specific equation that describes the relationship between the number of cups brewed (x) and the ounces of coffee (y) remaining in the pack. However, the task is to determine how much ground coffee, in ounces, was in the full pack when Mr. Finch purchased it. To solve this, we would typically need to know how much coffee is used per cup and have an initial amount representing the full pack. If the equation was provided, we could use it to calculate the initial amount of the coffee. Without the equation, we cannot proceed with the calculation. Ensuring all critical information is provided in a word problem is crucial for solving it.

A fast food restaurant had 11 pounds of flour. If they split the flour evenly among 2 batches of chicken, how much flour would each batch use?

Answers

Answer: 5.5 pounds

Step-by-step explanation: If 11 pounds of flour is being split evening between two batches of chicken you need to divide 11 by 2. 11 / 2 = 5.5 pounds.

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