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
stiks02 [169]
2 years ago
10

Solve 4x2−10x−6=0 using the Quadratic Formula.

Mathematics
1 answer:
vazorg [7]2 years ago
5 0

Answer:

x=−1

x=−1.5

:DDDD

You might be interested in
John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John say
IgorC [24]
The equation is 
3x - 4 = sqrt(x)
where 'sqrt' is shorthand for 'square root'

Let's solve the equation. To do so, we square both sides. Then we get everything to one side
3x - 4 = sqrt(x)
(3x - 4)^2 = (sqrt(x))^2
9x^2 - 24x + 16 = x
9x^2 - 24x + 16-x = x-x
9x^2 - 25x + 16 = 0

Now use the quadratic formula. See the attached image for those steps.

After using the quadratic formula the two possible solutions are x = 1 or x = 16/9

We need to check each possible solution to see if it is extraneous or not.

----------------------------

Checking x = 1

3x - 4 = sqrt(x)
3*1 - 4 = sqrt(1)
3 - 4 = 1
-1 = 1

The final equation is false, so x = 1 is not a true solution

x = 1 is extraneous. 

So far, John is correct; however, we need to see the nature of the possible solution x = 16/9

So let's check it
----------------------------

Checking x = 16/9

3x - 4 = sqrt(x)
3*(16/9) - 4 = sqrt(16/9)
48/9 - 4 = 4/3
16/3 - 4 = 4/3
16/3 - 12/3 = 4/3
(16 - 12)/3 = 4/3
4/3 = 4/3

The last equation is true, so x = 16/9 is a proper solution.

This solution is considered non-extraneous. So Tim is also correct
----------------------------

They are both correct because there are two possible solutions. One of which is extraneous (x = 1) and the other is non-extraneous (the fraction x = 16/9)

3 0
3 years ago
Please solve these equations much appreciated
Reptile [31]

Answer:      

Part c) V=16,500\ m^3

Part d) V=93,312\pi\ mm^3  or V=292,999.68\ mm^3

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the rectangular base

h is the height of pyramid

<em>Find the area of the base B</em>

B=(60)(15)=900\ m^2

h=55\ m

substitute

V=\frac{1}{3}(900)(55)

V=16,500\ m^3

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

V=\pi r^{2}h

we have

r=36\ mm\\h=72\ mm

substitute

V=\pi (36)^{2}(72)

V=93,312\pi\ mm^3 -----> exact value

<em>Find the approximate value</em>

assume

\pi =3.14

V=93,312(3.14)=292,999.68\ mm^3

7 0
3 years ago
The polygons in each pair are similar find the scale factor smaller figure to the larger
GrogVix [38]

Answer:

Smaller Figure 3

Larger Figure 5

Scale factor = 15/25 = 3/5

3 0
3 years ago
Am I correct? Please explain!<br><br> Will mark brainliest
marta [7]

Answer:

nr. 1 and 3 is a Dilation 2 and 4 are not Dilations

Step-by-step explanation:

Dilation is an elnargment or shink of a figure by a x(factor) that makes the SAME image but smaller or larger

4 0
3 years ago
In how many ways can the letters in the word 'Combination' be arranged?
Shtirlitz [24]
It can be arranged in 4989600
8 0
3 years ago
Other questions:
  • The two dot plots show the results of rolling a die 15 times on two occasions. Comparing the variability of the dot plots, which
    8·2 answers
  • a 9 am math class has eight fewer students than the 11 am class. find the number of students in rsch class if both is 84
    8·1 answer
  • What 2 numbers add to -7 and the same two numbers multiply to 3
    12·2 answers
  • The number line below represents which combined inequality?
    9·2 answers
  • What what is y = -3 x + 2 on a graph
    14·2 answers
  • What area of the grass is being watered by this sprinkler
    10·1 answer
  • At 6 AM, the temperature outside was -12 degrees Celsius. The temperature increased by 5 degrees every hour. Which equation desc
    10·1 answer
  • A straight line passes through A (-2, 0) and B (2,-k). The line is
    12·1 answer
  • Pls help me :v<br> Mxjgzjgkxgkxmhykx
    12·1 answer
  • PLEASE HELP ME I DONT HAVE MUCH TIME NO LINKS PLEASE! Note: Enter your answer and show all the steps that you use to solve this
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!