Answers
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
Related Questions
Triangle UVW is dilated by a scale factor of 6 to form triangle U'V'W'. Side W'U'
measures 18. What is the measure of side WU?
Answers
Answer:
WU= 3
Step-by-step explanation:
Know that, W'U'÷ (scale factor) = WU
18÷6 is equal to 3
scale factor= 3
math
rate of change and show me how u did it:( <3
Answers
Answer:
y = m x + b equation for a straight line
if x = o then y = 4 from graph
y = 0 + 4 and b = 4
If x = 8 then y = 24 from graph
24 = m * 8 + 4 substituting in our equation
m = 20 / 8 = 2.5 giving slope or rate of change
y = 2.5 x + 4 the final equation with a slope of 2.5
As a check using the graph:
We see that if y = 24 then x = 8
24 = m * 8 + 4 substituting in our equation
m = 20/8 = 2.5 agreeing with the value found
1cm
1
6 cm
Diagram NOT
accurately drawn
Scm
11 cm
9 cm
| 6cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.
Answers
Answer:
110cm²
Step-by-step explanation:
*Diagram is ALSO not accurately drawn
18cm-6cm-5cm=7cm
11cm-9cm=2cm
Area:
11cm×6cm=66cm²
7cm×2cm=14cm²
6cm×5cm=30cm²
Area of the shape:
66cm²+14cm²+30cm²=110cm²
A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?
Answers
Using the t-distribution, it is found that:
a)
The null hypothesis is [tex]H_0: \mu = 3.1[/tex]
The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]
b)
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.c) t = 1.853
d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
Item a:
At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:
[tex]H_0: \mu = 3.1[/tex]
At the alternative hypothesis, it is tested if the estimate is not correct, that is:
[tex]H_1: \mu \neq 3.1[/tex]
Item b:
This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05, hence, the critical value is [tex]t^{\ast} = 2.2[/tex].
Then, the decision rule is:
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.Item c:
We can find the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]
[tex]t = 1.853[/tex]
Item d:
Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
A similar problem is given at https://brainly.com/question/24826023
Algebra problem is in the picture attached. PLEASE HELP!
Answers
Answer:
Step-by-step explanation:
HELP ASAP PLEASE!!
full work shown gets brainliest!!
What is the product of 8 radical 5and 2 radical 30 in simplest radical form?
Answers
Answer:
= 40√6
Step-by-step explanation:
least common multipler of 8,2:8
Ms.yuhas from beloved community charter school is smart and helpful
Answers
I NEED HELP
Find the value
Answers
Answer:
7 and 2?
Step-by-step explanation:
i think because f(2) : f(x)= 5+2x = 7
whats the equation? for the problem
Answers
Answer: YOU DONT GIVE THE PROBLEM
Step-by-step explanation:
(-5) - (+2) + (+2) - (-5)
Answers
Answer:
the answer will zero for sure
Answer:
0
Step-by-step explanation:
-+ = --- = ++- = -++ = +-5-2+2+5 = 0
(-2,-4) reflected across the line y = -1
Answers
Which table of values is defined by the function y = 5x + 4?
Answers
A plant grows at a constant rate. The table shows the heights of the plant for different numbers of days of growth. Which of the following pairs of days and heights could also be included in the table? Select all that apply.
Answers
please help me i’m being timed!!!
Answers
Answer:
B
Step-by-step explanation:
The heaviest pig on the farm weighs 100 pounds
Which choice is similar to the figure shown?
Answers
It is the same shape with same proportions, just dilated.
2/5 = 0.4
8/20 = 0.4
A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.
Answers
Answer:C
Step-by-step explanation:
3x^3-4x^2-28x-16 divided by 3x+2
Answers
Will give BRAINLIEST
Answers
Answer:
Quadrant 4
Step-by-step explanation:
Answer:
3rd quadrant
Step-by-step explanation:
it has the pentagon
Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.
104
10−4
105
10−5
Answers
Answer:
Hello! Your answer here is 10−5.
Step-by-step explanation:
To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.
Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:
10−5
How many solutions does -2(t-4)=10-2t
Answers
Answer:
No Solutions
Step-by-step explanation:
Let's find out.
-2(t-4)=10-2t
-2t+8=10-2t
-2t=2-2t
0=2
Hope this helps :)
I don't know what to pick..
Answers
Answer:x=3
Step-by-step explanation:Multiply both sides of equation by four. Subtract 56 from the left and move to the right. Calculate 80-56. Divide by 8 on both sides x=3
bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat
Answers
To find the surface area, Brad splits the figure into two pieces, the rectangular prism and
the triangular prism.
He finds the total surface area of the rectangular prism by finding the area of each face
to get 1,104 cm
He then finds the total surface area of the triangular prism by finding the area of each
face to get 1,008 cm
Finally, he adds the surface areas together to get 2,112 cm.
Is Brad's solution correct? Why or why not?
Select the option that correctly answers both questions.
No, he did not find the correct total surface area for the triangular prism.
O No, he did not find the correct total surface area for the rectangular prism.
No, he needs to subtract the areas of the faces where the two prisms are
attached
Yes, he correctly found the sum of the surface areas for each prism.
Answers
The surface area of the figure is the amount of area covered by the figure.
The figure is not given, so I will give a general solution.
The method followed by Brad to calculate the surface area of the prism is correct.
However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.
So, the conclusion is that:
If Brad's calculation of the surface areas of the prisms is correct, then the surface area of the figure is correct because 1104 + 1008 = 2112.If otherwise, then the solution is incorrectRead more about surface areas at:
https://brainly.com/question/484723
Solve for x.
x2 + 4x - 21 = 0
Answers
6x - 21 = 0
6x = 21
x=3.5
what is the slope of the line with the equation: y+6=24-2x
Answers
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
Subtract 6 from each side
y+6-6=24-6-2x
y = 18 -2x
Rewriting
y = -2x+18
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is 18
If a = 5, b = 2, c = 4, then 6ab - 2c =
628
52
2
60
Answers
Answer:
52
Step-by-step explanation:
Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
Answer: 52 because if you Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
like ponitail151 said.
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answers
Answer:
62%
Step-by-step explanation:
120-46=74
74/120 don't use
simplify 37/60
to percent; 62%
(44+6x) / (16+x) ………
Answers
but if simplified it’d be 2(22+3x)/16+x
(-3, 5), (-4, 5) what is the slope
Answers
Answer:
0
Step-by-step explanation:
(5-5)/(-4+3) = 0/-1 = 0
is y =6x a linear function
Answers
Answer:
Yes
Step-by-step explanation:
Here is the graph!
Yes.
y = 6x is a linear function because it makes a straight line on the graph. Also, the degree is 1.
____
Hope it helps ⚜