Answer:
(-5, -4)
Step-by-step explanation:
I got it correct and that is right
Please help me
Use (x − 4)^2 − 28 = 8 for the following:
a. Explain why (x − 4)^2 − 28 = 8 has two solutions. (5 pts)
b. Solve the equation to find the solutions. Show your work. (5 pts)
Answer:
a) Because both sides are perfect squares b) (x-4)² – 28 = 8
(x–4)² = 36
Square root both sides
√(x–4)² = √36
x–4 = 6
x= 10
Step-by-step explanation:
(x–4)(x–4) = 36
x² – 8x+ 16 = 36
x² – 8x – 20 = 0
(x² + 2x)( –10x – 20) = 0
x(x+2) – 10(x+2) = 0
(x+2)(x–10) = 0
x = 10 or –2
x = 10
a. If the power of x is 2 then the value of x will be 2.
b. The values of the x are 6 and -2.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
Given
The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
a. If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.
b. The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
On simplifying
Add 28 both the sides, we have
[tex]\rm (x- 4)^2 = 36[/tex]
Taking square root both the sides, then we have
[tex]\rm x- 4 = \pm 6[/tex]
Add 4 both the sides,
[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]
Thus, the values of x are 6 and -2.
More about the simplification link is given below.
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Which of these could you measure with a ruler?
A. the volume of water in a cup
B. the volume of cream in a cup of coffee
C. the length of a textbook
D. the weight of a watermelon
Length of a text can be measured with ruler. Therefore, option C is the correct answer.
What is Metric System?Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.
A ruler, sometimes called a rule, line gauge, or scale, is a device used in geometry and technical drawing, as well as the engineering and construction industries, to measure distances or draw straight lines.
Length of a text can be measured with ruler.
Therefore, option C is the correct answer.
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Answer:
C
Step-by-step explanation:
can someone plz help no links plz
please help solve x and z find the number for x and find what degrees is z
Answer:
x = 19
z = 102°
Step-by-step explanation:
✔️5x - 17 = 78 (vertical angles area congruent)
5x - 17 + 17 = 78 + 17
5x = 95
5x/5 = 95/5
x = 19
✔️78 + z = 180° (angles on a straight line).
78 + z - 78 = 180 - 78
z = 102°
Find the value of x. Round to the
nearest tenth.
26
12
х
X=
= [?]
Answer:
X = 5.9 (in degree mode)
Step-by-step explanation:
Do the following:
12(tan26) = X
Plugging this into a calculator, you will get:
X = 5.9 (in degree mode)
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational
park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town's
residents favor the development of a recreational park.
To determine whether the sample supports the
population proportion, a simulation of 100 trials is run, each with a
sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the
maximum sample proportion is 0.76.
What is the point estimate of the population?
The margin of error of the population proportion is found using an estimate of the standard deviation. What is the
interval estimate of the true population proportion?
The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
Is the community action group's claim likely based on either interval estimate of the true population proportion?
Explain.
The probability computed shows that the point estimate of the population is 6.2%.
How to calculate the probability?Divide the number of events by the number of possible outcomes. After determining the probability event and its corresponding outcomes, divide the total number of ways the event can occur by the total number of possible outcomes.
a. The point estimate of the population will be calculated thus:
= 62% = 62/100 = 0.62
b. The margin of error of the population will be:
= z value × [✓0.62 × ✓0.38 / ✓200]
= 1.96 × (0.78 × 0.61 / 14.14)
= 0.0672
Therefore, the interval estimate is 6.72%.
c. The margin of error of the population proportion is found using half the range will be:
= [0.76 - 0.46] /2
= 0.30/2
= 0.15
d. The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.
Find out more information about probability here:
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Stanky I need help PLSS ASAPPP
Answer:
I would say B
Step-by-step explanation:
sorry if the answer was wrong i am bad at math
Solve for X. Assume that segments that appear to be tangent are tangent Round to the nearest tenth as necessary.
9514 1404 393
Answer:
11.1
Step-by-step explanation:
The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.
x^2 + 14.2^2 = 18^2
x^2 = 122.36
x = √122.36 ≈ 11.1
The length of the tangent is about 11.1 units.
y=2x-3 what is y if x is 4, -2, 100, 5, 2.6
Which of the following is a true proportion
please guys help please
Answer:
See attachment for plot
Step-by-step explanation:
The attachment has enough information to solve for only question (4).
Solving (4), we have:
[tex]W = (-1,-1)[/tex]
[tex]X = (4,1)[/tex]
[tex]Y = (4,5)[/tex]
[tex]Z =(1,7)[/tex]
Required
Reflect over the x-axis
When a point (x,y) is reflected over the x-axis, the resulting point is (x,-y)
i.e.
[tex](x,y) => (x,-y)[/tex]
So, we have:
[tex]W = (-1,-1)[/tex] ==> [tex]W' =(-1,1)[/tex]
[tex]X = (4,1)[/tex] ==>[tex]X' = (4,-1)[/tex]
[tex]Y = (4,5)[/tex] ==> [tex]Y' =(4,-5)[/tex]
[tex]Z =(1,7)[/tex] ==> [tex]Z' = (1,-7)[/tex]
So, we plot on a grid, the following points:
[tex]W' =(-1,1)[/tex]
[tex]X' = (4,-1)[/tex]
[tex]Y' =(4,-5)[/tex]
[tex]Z' = (1,-7)[/tex]
See attachment for plot
Write the ratio as a fraction in the simplest form:
36 months to 3 years
Answer:
1
Step-by-step explanation:
36 months is equal to 3 years.
There are 12 months in a year.
36/12=3
3/3=1
Pls help me!
Which represents a measure of volume?
5cm3
5 square cm
5 cm
5 cm2
What is the value of the expression 6 3/4 (- 11.5)?
GO3
Answer:
-77.625
Step-by-step explanation:
How to find
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. Therefore, the value of the expression 6 3/4 (- 11.5) is -77.625.
someone help me answer this
Answer:
a = 65 yd is the answer.
Step-by-step explanation:
a = ?
b = 72 yd
c = 97 yd
According to the Pythagoras theorem,
a² + b² = c²
a² + 72² = 97²
a² + 5184 = 9409
a² = 9409 - 5184
a² = 4225
a = 65 yd
∴ a = 65 yd is the length of the missing leg.
Helpppppppp me pleases
Answer:
Try B
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:the first one opn and qps
Step-by-step explanation:
Compare the costs of bike trips from the two companies
shown. For both, the cost is a linear function of the
number of days.
Which statement is true?
Backcountry Tours
Scenic Pathways
Number of Days
on Trip (d)
Cost of trip (5)
1
45
charges $25 to sign up
and $35 per day
2
90
3
135
4
180
5
225
Scenic Pathways has no sign-up fee
and a greater cost per day.
Backcountry Tours has a lower
sign-up fee and a greater cost per
day.
Scenic Pathways has a higher
sign-up fee and a greater cost per
day.
Backcountry Tours has a higher
sign-up fee and a greater cost per
day.
Answer:
Step-by-step explanation:
The answers is Scenic pathway has no sign up fee and a greater cost per day
Write the equation that results from transmitting the absolute value equation down 4. Y=|x|
Answer:
y = |x| - 4
Step-by-step explanation:
this translates the function y down by 4 as is required
The table shows the number of raisins found in 17 half-ounce boxes. Which line plot (dot plot) correctly displays the
data?
Answer: I think C.
Step-by-step explanation:
PLEASE HELP ITS DUE TODAY FOR A GRADE!!!!
Answer:
11
Step-by-step explanation:
Find the length of the hypotenuse of the right triangle with sides 9 and 6
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]
Use c and the height 2 to find the hypotenuse of the triangle with the dotted line
[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]
the dotted line is 11
Simplify the radical expression ⁴√625x¹²y⁸
Not sure if it's A or D PLEASE HELP
Answer:
Step-by-step explanation:
I think it could be D
Sorry if not correct
Brody created a map of his neighborhood using a scale of 2 inches = 3 blocks. If his street is 9 blocks long, how long will it be on the map?
Answer:
6 inches
Step-by-step explanation:
If 3 blocks equals 2 inches, then we must first find out how many times 3 can fit into 9. We do this by dividing 9 by 3 to get 3. To get your final answer just multiply 2 by 3 and you will get 6 inchs. I hope this helped :0
BEST ANSWER GETS BRAINLIEST !!!! Write the equation of the function graphed below:
Jo/y
9
8
7
6
5
4
3
2
X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
.
1 2 3
8 9 10
2.
-3
.
-6
-7
-8
-9
-10
Answer:
f(x)= 2 ³√x+4
Step-by-step explanation:
Thats the answer
The equation of the function is f(x) = 2∛x -4.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We will take two points from the graph substitute in each function.
So, the points are (0, -4) and (1, -2).
1. f(x) = ∛x -4
For x= 0
f(x) = ∛0 -4 = -4
and, For x= 1
f(x) = ∛1 -4 = 1 -4 = -3 (False)
2. f(x) = 2∛x -4
For x= 0
f(x) = 2∛0 -4 = -4
and, For x= 1
f(x) = 2∛1 -4 = 2 -4 = -2 (True)
3. f(x) = 2∛x +4
For x= 0
f(x) = 2∛0+4 = 4
and, For x= 1
f(x) = 2∛1 +4 = 2+4 = 6 (False)
4. f(x) = ∛x +4
For x= 0
f(x) = ∛0 +4 = 4
and, For x= 1
f(x) = ∛1 +4 = 1 +4 = 5 (False)
Thus, the required function is f(x) = 2∛x -4.
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Plz help me well mark brainliest if you are correct!
A cylinder has a volume 8m cube and a height of 2m.find the base radius of the cylinder.
Answer:
1.12838m or 1.13m
Step-by-step explanation:
hope this helps
Delta makes 12-volt car batteries. These batteries are known to be normally
distributed with a mean of 45 months and a standard deviation of 8 months.
What percent of Delta car batteries last between three and four years?
Answer:
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Step-by-step explanation:
Step(i):-
Given that the sample size n =12 -volt car batteries
Let 'X' be a Random variable in a normal distribution
Given that mean of the normal distribution = 45 months
Given that the Standard deviation of the normal distribution = 8months
Step(ii):-
Let X₁ = 3 years = 12 × 3 = 36 months
[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125[/tex]
Let X₂ = 4 years = 12 × 4 = 48 months
[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375[/tex]
Step(iii):-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = P(-1.125≤Z≤0.375)
= P(Z≤0.375) - P(Z≤-1.125)
= 0.5 +A(0.375) - (0.5-A(1.125)
= 0.5 + 0.1480 - (0.5 -0.3708)
= 0.1480 + 0.3708
= 0.5188
Final answer:-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Please help me FAST (no links!)
Answer:
A.
Step-by-step explanation:
42/48=7/8
40/48=5/6
(お役に立てれば！)
solve 4x-5/5=3
thankyou
Answer:
x = 1
Step-by-step explanation:
4x - 5/5 = 3
4x - 1 = 3
add 1 to each side of the equation:
4x = 4
divide both sides by 4:
x = 1
Answer:
4x=3+5/5
Step-by-step explanation:
like term
4x=8/5
20x/20=8/20
x=2/5
a circle passes through the points o(0,0), a(8,4) and b(6,6). show that oa is a diameter of the circle and find the equation of the circle
9514 1404 393
Answer:
(x -4)² +(y -2)² = 20
Step-by-step explanation:
The circle is the circumcircle of triangle OAB. Then OA will be a diameter if angle OBA is a right angle. We can check that by looking at the slopes of AB and BA.
B-O = (6, 6)-(0, 0) = (6, 6) ⇒ slope = Δy/Δx = 6/6 = 1
A-B = (8, 4) -(6, 6) = (2, -2) ⇒ slope = -2/2 = -1
These slopes have a product of -1, so OB ⊥ BA. The hypotenuse (OA) of ΔOBA is the diameter of the circle.
Then the midpoint of the hypotenuse is the center of the circle.
C = (O +A)/2 = ((0, 0) +(8, 4))/2 = (4, 2)
The equation is ...
(x -h)² +(y -k)² = r² . . . . . circle with center (h, k) and radius r
The radius is the distance from O to C, so is ...
r² = 4² +2² = 20
and the equation of the circle is ...
(x -4)² +(y -2)² = 20 . . . . equation of the circle