1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jok3333 [9.3K]
3 years ago
14

Which is the completely factored form of 4x2+28x+49?

Mathematics
2 answers:
zhenek [66]3 years ago
8 0

Answer:  The required factored form of the given expression is (2x+7)(2x+7).

Step-by-step explanation:  We are given to completely factor the following quadratic expression :

E=4x^2+28x+49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following factorization formula :

(a+b)^2=a^2+2ab+b^2.

From (i), we have

E\\\\=4x^2+28x+49\\\\=(2x)^2+2\times x\times7+7^2\\\\=(2x+7)^2\\\\=(2x+7)(2x+7).

Thus, the required factored form of the given expression is (2x+7)(2x+7).

ratelena [41]3 years ago
5 0
<span> (2x+7)(2x+7) hope this helps</span>
You might be interested in
Y=3x+12 positive or negative
jolli1 [7]

Answer:

x = -4 thus negative

Step-by-step explanation:

Solve for x:

3 x + 12 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

3 x + (12 - 12) = -12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

3 x = -12

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = -12 by 3:

(3 x)/3 = (-12)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = (-12)/3

Hint: | In (-12)/3, divide 12 in the numerator by 3 in the denominator.

12/3 = (3×4)/3 = 4:

Answer: x = -4

5 0
3 years ago
Victoria correctly determined the area of this parallelogram by adding the areas of the rectangle and triangles.
adoni [48]

Answer:

56 m²

16 m²

88 m²

Step-by-step explanation:

The formula for the area of a rectangle is:

A=L×W (area=length × width)

A=7×8

A=56m²

The formula for the area of triangle is:

1/2×b×h (1/2 × base × height)

A=1/2×4×8

A=2×8

A=16m²

For the total area you will now add the area of each shape. We will multiply triangle area by 2 because there is 2 triangles.

A=56+2(16)

A=56+32

A=88m²

6 0
3 years ago
The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that
wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \lambda e^{-\lambda x}

In which \lambda is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\lambda x}

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

In all 3 cases, we want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = 1 - e^{-5\lambda}

(a) lambda=.5

P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821

(b) lambda=0.9

P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111

(c) lambda=1.1

P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041

7 0
3 years ago
What is -5+x/4&gt;1? <br> Thanks!
zimovet [89]

The answer to this is:

x>24

4 0
3 years ago
victor went for a run last week. It was 3.5 km long. Terrell went for 3 runs last week. eachrun was 1,250 m long. which person r
Karolina [17]
Terrell ran a longer distance
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the common difference, d, of the sequence?
    10·2 answers
  • Shinya went to the salon. The cost of her haircut was $16.00. He tipped the barber 15%. What was the total cost.
    11·1 answer
  • Between which two integers does square root of 178 lie?
    14·2 answers
  • Slope of the line (5,4) and (8,2)
    10·1 answer
  • Las edades de kevin y ayrton son 30 y 36 años. Dentro de cuántos años sus edades estarán en relación de 13 a 11
    7·1 answer
  • What do YOU think about LOVE?
    10·2 answers
  • The lowest number was 11
    13·1 answer
  • What's m + 6/3 equals -8​
    15·1 answer
  • In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of
    13·1 answer
  • A Donut Shop serves plain and chocolates donuts at a ratio of 5 to 3. Based on this ratio, how many chocolate donuts will be ser
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!