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
Ne4ueva [31]
3 years ago
15

Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if nece

ssary.
Equation: 4x2+8x+7=4

Solution: Answer
and
Mathematics
2 answers:
lutik1710 [3]3 years ago
3 0

Answer:

\:x=-\frac{3}{2},x=-\frac{1}{2}

Step-by-step explanation:

Subtract 4 from both sides:

4x^2+8x+7-4=4-4

Simplify:

4x^2+8x+3=0

Solve with the quadratic formula:

x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}

x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}

Separate the solutions:

x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}

The solutions to the quadratic equation are:

\:x=-\frac{3}{2},x=-\frac{1}{2}

alexandr1967 [171]3 years ago
3 0

GIVEN:

  • <u>Equation</u>:— 4x² + 8x + 7 = 4

ANSWER:

On simplifying equation, we get

  • 4x² + 8x + 7 = 4
  • 4x² + 8x + 7 – 4 = 0
  • 4x² + 8x + 3 = 0

Now, We'll split the middle term to get the solution.

So, 4x² + 6x + 2x + 3 = 0

  • 2x(2x + 3) + 1(2x + 3) = 0
  • (2x + 1)(2x + 3) = 0
  • x = – 1/2 ; – 3/2

You might be interested in
Find the slope for numbers 1-6
Helga [31]

Answer:

#1 is 2

#2 is -2/3

#3 is -2/5

#4 is -1/2

#5 is 4

#6 is 1

Step-by-step explanation:

I hope this helps

4 0
3 years ago
Y = 3x - 5 what is the value of Y??
lara [203]

Answer:

41

Step-by-step explanation:

x=12

so y=3⋅12 +5

=36+5

=41

6 0
2 years ago
Read 2 more answers
Solve the equation X³+2X²-5X -6​
Natali [406]

Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

6 0
2 years ago
A line passes through the point (-8, -3) and has a slope of -3/2
rjkz [21]

Answer:

this is the answer

Step-by-step explanation:

hope it helped!!!

4 0
3 years ago
There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less
kaheart [24]

The number of permutations of picking 4 pens from the box is 30.

There are six different unique colored pens in a box.

We have to select four pens from the different unique colored pens.

We have to find in how many different orders the four pens can be selected.

<h3>What is a permutation?</h3>

A permutation is the number of different arrangements of a set of items in a particular definite order.

The formula used for permutation of n items for r selection is:

    ^nP_r = \frac{n!}{r!}

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1

We have,

Number of colored pens = 6

n = 6.

Number of pens to be selected = 4

r = 4

Applying the permutation formula.

We get,

= ^6P_4

= 6! / 4!

=(6x5x4x3x2x1 ) / ( 4x3x2x1)

= 6x5

=30

Thus the number of permutations of picking  4 pens from a total of 6 unique colored pens in the box is 30.

Learn more about permutation here:

brainly.com/question/14767366

#SPJ1

6 0
1 year ago
Other questions:
  • If square root m= 8, then m must equal ____. 4. 8. 16. 64
    15·1 answer
  • TEST SCORES Matthew's math test scores this
    6·1 answer
  • Lf a bus travels 6 km in 10 minutes, what distance does it travel in 1second<br>​
    5·1 answer
  • Solve this x2 – 8x + 15
    7·2 answers
  • Use similar triangles to find the value of x and y​
    8·2 answers
  • Help me please help me thanks again help me thanks
    11·1 answer
  • I’ll give brainiest
    13·2 answers
  • Barry's employer pays $1,945 in health insurance and $234 in life insurance per year. He also gets $4,213 in paid time off per y
    15·1 answer
  • Using the net below, find the surface area
    10·1 answer
  • Which term best describes the expression 3x2y4 + 5x + 1?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!