Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+4=3x+8
Step 1: Subtract 3x+8 from both sides.
x2+4−(3x+8)=3x+8−(3x+8)
x2−3x−4=0
Step 2: Factor left side of equation.
(x+1)(x−4)=0
Step 3: Set factors equal to 0.
x+1=0 or x−4=0
x=−1 or x=4
Answer:
x=−1 or x=4
please answer need help
Jasmine bought a game system
that cost $299 before tax. The total
including sales tax was 1.07 times
the price. A discount was then
applied by multiplying the total price
by 0.90. What was the total cost of
the game system including the sales
tax and discount?
9514 1404 393
Answer:
$287.94
Step-by-step explanation:
The final cost is found by multiplying the cost by the various factors:
$299 × 1.07 × 0.90 ≈ $287.94
The area of a rectangle is 119 square units. Find the length and width of the rectangular
Answer: 7 and 17
Step-by-step explanation:
Since the area of a rectangle is the product of the two sides, the product of these two numbers must be 119.
The factors pairs of 119 are 1 and 119, and 7 and 17.
x+7 and x-3 have a difference of 10. The difference of 7 and 17 is also 10. Hope this helped!
In the future, please take a less blurry photo because I had to guess the part where I think it said x-3.
Michael is buying a pair of jeans that regularly cost $40. They are on sale for 15% off. If the tax rate is 8.5%, what is the finale price of the jeans? Write ONE equation and solve.
Answer:
139284 238
Step-by-step explanation:
points reflected over an axis graphically
The coordinate of the point N is (-6,2).
The point on reflection about x axis, the x -coordinate remain same and sign of y-coordinate changes.
Determine the coordinate of point N'.
\(N^{\prime}(-6,-1\cdot2)\rightarrow N^{\prime}(-6,-2)\)Plot the point on the graph.
Please help me i need help
Answer:
H
E
A
R
T
S
Step-by-step explanation:
easy
PLEASE HEEEEEEEEELLLLLLLLLPPPPPPP WILLING TO GIVE BRAINLIEST.
Answer:
Maria is 5
Steve is 2
Steve
Step-by-step explanation:
10/2=5
6/3=2
the probability distribution of the random variable x is given in the following table. find e(x). (round your answer to 2 decimal places)
The expected value of X or E(X) is 2.45.
To find the expected value of a random variable X, denoted by E(X), we use the formula:
E(X) = ∑[x*P(X=x)]
where x is the value of X and P(X=x) is the probability of X taking the value x.
Using this formula, we can calculate the expected value of X based on the probability distribution table given to us.
X 1 2 3 4
P(X) 0.25 0.30 0.20 0.25
E(X) = (1 * 0.25) + (2 * 0.30) + (3 * 0.20) + (4 * 0.25)
= 0.25 + 0.60 + 0.60 + 1.00
= 2.45
Therefore, the expected value of X is 2.45.
To learn more about probability refer to:
brainly.com/question/30034780
#SPJ4
The probability distribution of the random variable X is given in the following table. Find the expected value of X . (Round your answer to 4 decimal places.) x -2 -1 0 1 2 P(X =x)
a. 3
b. 2.45
c.6.9
d.1.2
What are the zeros of the function
Answer: i think c
Step-by-step explanation:
A graph is shown.
6987654321
10
0 1 2 3 4 5 6 7 8 9 10
Which ordered pair describes a point that should be removed from the graph so that the graph represents a function?
An ordered pair that describes a point that should be removed from the graph so that the graph represents a function include the following: A. (1, 1).
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the graph shown below, we can reasonably infer and logically deduce that it does not represent a function because the input values (domain or independent values) are not uniquely mapped to the output values (range or dependent values);
3 → 1
1 → 1
In this context, we can reasonably infer and logically deduce that either (3, 1) or (1, 1) must be removed from the graph in order to represent a function.
Read more on function here: https://brainly.com/question/27862183
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Archaeology: Tree Rings. At Burnt Mesa Pueblo, the method of tree-ring dating gave the following years A.D. for an archaeological excavation site: 1189, 1271, 1267, 1272, 1268, 1316, 1275, 1317, 1275. Find a 90% confidence interval for the mean of all tree ring dates from this archeological site.
After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)
What is standard deviation?A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.
Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):
t = t(0.05, 8) = 1.860
Now we can calculate the lower and upper bounds of the confidence interval:
Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)
To know more about standard deviation visit:
https://brainly.com/question/23907081
#SPJ1
If this pattern continues. How many sit-ups did Carrie do on day five
Answer:
I swear If I was him I would have done at least 4 by 2
an hour
Step-by-step explanation:
but according to him 2 by 4
Use the Divergence theorem to calculate the surface integral ∫∫SF⋅dS; that is calculate the flux of F across S.F(x,y,z)=x4 i−x3z2 j+4xy2z kS is the surface of the solid bounded by the cylinder x2+y2=9 and the planes z=x+10 and z=0.
The surface integral for the given solid bounded by the given cylinder and planes is 486π.
Here, we are given a function f as follows-
\(f(x, y, z) = x^{4}i -x^{3} z^{2}j + 4xy^{2} z k\\\)
\(f = 4x^{3} + 4xy^{2} = 4x(x^{2} + y^{2} )\)
Now by the divergence theorem, we have -
\(\int\limits_ {} \, \int\limits_S {f} .\, ds = 4 \int\limits \, \int\limits \, \int\limits_R {x(x^{2} +y^{2}) } \, dV\)
here S is the boundary of the region S.
Now, we convert to cylindrical coordinates by taking -
x = u cos v
y = u sin v
and z = z
such that -
dV = u du dv dz
Then the integral becomes as follows -
\(4 \int\limits \, \int\limits \, \int\limits_R {x(x^{2} +y^{2}) } \, dV = 4 \int\limits \, \int\limits \, \int\limits_R ucosv((ucosv)^{2} +(usinv)^{2} )u dz du dv\)
= \(4 \int\limits \, \int\limits \, \int\limits_R (u^{4} cosv) dz du dv\)
Solving the above expression for the given interval values we get the following value -
486π
Thus, the surface integral for the given solid bounded by the given cylinder and planes is 486π.
Learn more about the divergence theorem here-
https://brainly.com/question/17177764
#SPJ4
One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
Using the following prices, calculate the unit price to determine how much it would cost for 7 muffins and 14 juice boxes. $7.74 for 6 muffins $5.52 for 8 juice boxes a. $18.69 b. $19.89 c. $21.91 d. $26.52
Answer: 18.69
Step-by-step explanation: just dont matter honeslty
Answer:
18.69
Step-by-step explanation:
According to the U.S. National Center for Health Statistics, there is a 98% probability that a
20-year-old male will survive to age 30.
(a) Using statistical software, simulate taking 100 random samples of size 30 from this
population.
(b) Using the results of the simulation, compute the probability that exactly 29 of the 30 males
survive to age 30.
(c) Compute the probability that exactly 29 of the 30 males survive to age 30, using the
binomial probability distribution.
(d) Using the results of the simulation, compute the probability that at most 27 of the 30 males
survive to age 30.
(e) Compute the probability that at most 27 of the 30 males survive to age 30 using the
binomial probability distribution.
(f) Compute the mean number of male survivors in the 100 simulations of the probability
experiment. Is it close to the expected value?
(g) Compute the standard deviation of the number of
male survivors in the 100 simulations of the probability experiment. Compare the result to the
theoretical standard deviation of the probability distribution
Answer:
0.03398 or 3.398%
Step-by-step explanation:
-This is a binomial probability problem.
-Given p=0.24, n=100, the probability that exactly 30 people is calculated as:
Hence, the probability that exactly 30 people have hypertension is 0.03398
Which graph represents the function f(x) = -|x| − 3?
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
For more questions on Reflection.
https://brainly.com/question/29788009
#SPJ8
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.
The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3
To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:
Since for all x > 0, we have:
Thus, by the limit comparison test:
converges if and only if converges.
We can evaluate using the power rule of integration:
where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:
∫(1/x^4) dx from 1 to infinity = lim as b → infinity
=>
=> 0 - (-1/3)
=> 1/3
Since the integral dx converges by comparison to a convergent integral, and its value is 1/3.
To learn more about Convergent integral :
Note: The full question is
Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1
Henry ran 1 5_8 miles in the morning and 9_10 miles in the afternoon. About how many miles did he run in all?
When Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon, In all he a total of 2 21/40 miles
How to find the number of miles that Henry ranThe number of miles Henry ran is calculated by addition operation
The sum of the miles Henry ran in the morning plus the number of miles he ran in the afternoon gives the what Henry ran in all
The procedure involves addition of tractions and done as follows
= 1 5/8 + 9/10
= 13/8 + 9/10
adding both fractions will result to
= 101/40 miles
= 2 21/40 miles (as a mixed number)
Henry ran a sum of 2 21/40 miles
Learn more about addition of fractions:
https://brainly.com/question/29321903
#SPJ1
For the data in each table, tell whether y varies directly with x. If it does, write an equation for the direct variation. Check your answer by plotting the points from the table and sketching the line. There are two graphs, one's points are (-6,9), (1,-1.5), (8,-12) and another is (-2,1), (3,6), (8,11).
The statements on the relations and whether they are proportional relationships is given as follows:
(-6,9), (1,-1.5), (8,-12): Yes, with equation y = -1.5x.(-2,1), (3,6), (8,11): No.What is a proportional relationship?A proportional relationship is a linear function that has intercept of zero and slope as the constant of the proportionality k, as follows:
y = kx.
A relation represents a proportional relationship if the ratio of the output y by the input x is the same for all the points.
For the first relation, the constant for each point is given as follows:
k = 9/-6 = -1.5.k = -1.5/1 = -1.5.k = -12/8.Hence it represents a proportional relationship, and the equation is given as follows:
y = -1.5x.
For the second relationship, the constants are:
k = 1/-2 = -0.5.k = 6/3 = 2.Different constants, hence it does not represent a proportional relationship.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Evaluate the function graphically. Find (-6)
Answer:
5
Step-by-step explanation:
just see where x=-6
What is the slope? (IXL)
Answer:
2/3
Step-by-step explanation:
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for this month, how much interest would you have to be paid on the balance?
Answer:
B
Step-by-step explanation:
Because
Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Mary Lou Mason's total taxes on her purchase would be $1.37.
What are taxes?Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.
Mary Lou Mason's total purchase was $19.14.
To calculate the total taxes for her purchase, we can use the following formula:
Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)
Therefore, the total taxes for Mary Lou Mason's purchase would be:
Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)
Tax = (0.065 x 19.14) + (0.015 x 19.14)
Tax = 1.24 + 0.13
Tax = $1.37
Mary Lou Mason's total taxes on her purchase would be $1.37.
For more questions related to Sales
https://brainly.com/question/24951536
#SPJ1
help me please with the question I will mark BRAINLIEST
Answer:
4^126^78^57^3Step-by-step explanation:
apply the indices law
multiple means additiondivision means subtraction you are suppose to add the powers or subtract where necessary4^9x 4^3= 4^56^5x6^2=6^78^6÷8=8^57^8÷7^6=7^2if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
This is one I’m stuck on
Answer:
1.109
2.264
3.462
Step-by-step explanation:
Which expression is equivalent t to 2x+3y-x-(8+1)?
x+3y-9
Hope this helps!
Simplify 3\(\sqrt\)2-√2
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2