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
Setler [38]
3 years ago
9

Identify the values that should be written to complete the X diagram.

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

You might be interested in
HELP ME WITH THIS PLEASE!!!!
Vlada [557]

The answer is left two places.

For example 5.% would be 0.05 as a decimal.

5 0
3 years ago
49a4 + 87a2b2 + 64b4 TRINOMIO CUADRADO PERFECTO POR ADICION Y SUSTRACCION por favor ayud
KatRina [158]

Answer:

(7a^2 + 8b^2 + 5ab) (7a^2 + 8b^2 - 5ab)

Step-by-step explanation:

Dado que ambos términos son cuadrados perfectos, puede factorizar utilizando la fórmula de la diferencia de cuadrados, a^2 - b^ 2 = (a + b) (a - b), donde a = 7a^2 + 8b^2 y b = 5ab.

English: Since both terms are perfect squares you can factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b), where a = 7a^2 + 8b^2 and b = 5ab.

6 0
3 years ago
The line represents the length and height of a skateboard ramp. Find the slope of the ramp.
Goshia [24]
1/1
I hope that this helps!
6 0
3 years ago
Suppose the half-life of a material is 10 days. You have one 1 kg of the material today. How much of the material would you have
boyakko [2]

Answer:

0.50 kg of the material would be left after 10 days.

0.25 kg of the material would be left after 20 days.

Step-by-step explanation:

We have been given that the half-life of a material is 10 days. You have one 1 kg of the material today. We are asked to find the amount of material left after  10 days and 20 days, respectively.

We will use half life formula.

A=a\cdot(\frac{1}{2})^{\frac{t}{h}}, where,

A = Amount left after t units of time,

a = Initial amount,

t = Time,

h = Half-life.

A=1\text{ kg}\cdot(\frac{1}{2})^{\frac{10}{10}}

A=1\text{ kg}\cdot(\frac{1}{2})^{1}

A=1\text{ kg}\cdot\frac{1}{2}

A=0.5\text{ kg}

Therefore, amount of the material left after 10 days would be 0.5 kg.

A=1\text{ kg}\cdot(\frac{1}{2})^{\frac{20}{10}}

A=1\text{ kg}\cdot(\frac{1}{2})^{2}

A=1\text{ kg}\cdot\frac{1^2}{2^2}

A=1\text{ kg}\cdot\frac{1}{4}

A=0.25\text{ kg}

Therefore, amount of the material left after 20 days would be 0.25 kg.

6 0
3 years ago
Fling<br> Find the slope of the line passing through the points (1,5) and (4,-2).
Katyanochek1 [597]
Subtract x2 from x1 to get -7. After that subtract y2 from y1 to receive 3. That leaves you with -7/3 which simplified is -2.1333*
5 0
3 years ago
Other questions:
  • Their sum is −7 and their difference is 14 what are my numbers
    8·1 answer
  • How many two digit numbers are divisible by 3
    10·1 answer
  • Which of the following shows how the number 7 can be rewritten with the difference of squares identity?
    15·1 answer
  • On Monday, a security guard spent 4.5 hours on patrol and 2 hours on surveillance. On Tuesday, the officer spent 1 hour and 40 m
    8·1 answer
  • Applying the Laws of Sines and Cosines
    7·1 answer
  • Which line on the graph represents the information in the table?
    6·2 answers
  • Graph the linear equation. Find three points that solve the equation, then plot on the graph.
    8·2 answers
  • Find the sum of the first 50 odd numbers​
    11·1 answer
  • PLEASE HELP!! VERY IMPORTANT!!! THIS IS 10 POINTS !!! ILL MARK FIRST PERSON BRAINLIEST!
    11·1 answer
  • Which relation is a function? Select all that apply.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!