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
agasfer [191]
3 years ago
12

Solve this quadratic equation. Show all work. 4x^2-2x-5=0

Mathematics
1 answer:
kicyunya [14]3 years ago
6 0
X= -b⁺₋ √b²-4ac/2a
x= (-(-2)⁺₋√(-2)²- 4(4)(-5))/2(4)
x= 4 ⁺₋√4+80/8
x= (4⁺₋ 9.165)/8
x= 4+9.165)/8 or x= 4-9.165)/8
x= 1.40 or x= -0.896

You might be interested in
Allister's father is 120% of Allister's height. If his father measures 180 cm, how tall is Allister?
katrin [286]

Answer:

1.2*a=180

a=180/1.2

a=150 cm

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If m ACD=100 degree,then m ECB=[?]
balu736 [363]

Answer:

100

Step-by-step explanation:

They are the same.

Hope I helped!

7 0
3 years ago
Read 2 more answers
Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling me
amid [387]

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

H_{0}: p \geq 0.6

And the alternate hypothesis is:

H_{a}: p < 0.6

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that:

\mu = 0.6

\sigma = \sqrt{0.6*0.4}

Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.

This means that n = 575, X = \frac{338}{575} = 0.5878

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}

z = -0.6

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

3 0
3 years ago
(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript
stiks02 [169]
\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}


Use:\\a^{-n}=\left(\frac{1}{a}\right)^n\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\\left(\frac{a}{b} \right)^n=\frac{a^n}{b^n}
6 0
2 years ago
Read 2 more answers
After moving 5 units up, 3 units right, and 4 units down, the ending position is (9, 6). What was the starting position.
Anika [276]
You reverse what you did, so first you go 5 units down which makes the coordinates (9,1) then you move 3 units left which then is (6,1). Then you go 4 units up which lets you end out at (6,5). 
6 0
2 years ago
Other questions:
  • (Please help me!! ;) 20 points!!!)The hose filled the 100-gallon tank in 8 hours. Which shows the flow rate of the hose
    12·2 answers
  • 5(5z - 7), when z = -1
    8·2 answers
  • Find the zeros of the function f(x)=2x^2-17.5x+35.6f(x)=2x 2 −17.5x+35.6 to the nearest hundredth.
    12·1 answer
  • Find the slope of a line passing through (6,3) and (6,9)
    14·2 answers
  • What is 2.4 in rational form
    11·1 answer
  • Compare the value of the 8 in 4,428.37 and 92.85
    7·2 answers
  • 90°
    12·2 answers
  • I need helpppppppp pleaseeeeee
    13·1 answer
  • Solve 14n &gt; 11n + 6<br><br> please help
    12·2 answers
  • Please help me, im desperate
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!