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
Pie
3 years ago
12

Solve for x. 4x^2 − 40x + 94 = 0

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer: x = 41.22 and 38.78

Step-by-step explanation:

Given the equation

4x² - 40x + 94 = 0

Using the general formula

x = -b+/-√b²-4ac/2a

Where a = 4, b= -40 c= 94

x = -(-40)+/-√(-40)²-4(4)(94)/2(4)

x = 40+/-√1600-1504/8

x = 40 +/-√96/8

x = 40 +/-9.8/8

x = 40+/-1.22

x= 40+2.22 = 41.22

and x = 40 -1.22

x = 38.78

You might be interested in
Which polynomials are prime? Check all that apply.
FromTheMoon [43]
The awnser is A,D,and E
10 0
3 years ago
Read 2 more answers
Solve the equation -1/3m -7=5
Naddik [55]

-1/3 m - 7 = 5

add 7 to each side

-1/3 m = 12

multiply by -3 to each side

m = -36

4 0
3 years ago
Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s
kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}

or, At 6.5 % rate

$ 50 =  \dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}

or, 10000 - x =  \frac{5000}{6.5}

Or, 10000 - x = 769.23

∴  x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit  = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And  The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0
3 years ago
The scale drawing of a rectangular office measures 5.3 cm by 8 cm. A scale factor of 72 is used to create the actual office. Wha
Musya8 [376]
Each length is 72 times longer so the actual dimensions are 381.6cm by 576 cm
5 0
3 years ago
What is the value of in e4
arlik [135]

4 is your answer yw luv

8 0
3 years ago
Read 2 more answers
Other questions:
  • If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is
    11·2 answers
  • The equation x^2-13x+q=0 has one root that is equal to 12.5. Find the other root and the value of the coefficient q.
    14·1 answer
  • Units. Find the other
    11·1 answer
  • An architect designs a door that is 3.5 feet wide for a house under construction. The contractor reduces the width of the door t
    14·1 answer
  • I need this answered by 8:45 a.m. PDT time. Two radio stations are playing this week's #1 hit song. One radio station plays the
    7·2 answers
  • What is x over three equals 9
    8·2 answers
  • How do I know if l -27 l in is less or greater than -45 ​
    15·1 answer
  • Given the diagram below, what is mD?
    11·2 answers
  • Bacteria can grow rapidly. If every hour the bacteria doubles, what would be the equation for the amount of bacteria after x hou
    15·2 answers
  • Please PLEASE HELP ME PLEASE
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!