What is the solution for the equation x2+4=3x+8

Answers

Answer 1

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


Related Questions

please answer need help

please answer need help

Answers

hi i dont see ur answer pls dont walk at ohio

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?

Answers

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

The area of a rectangle is 119 square units. Find the length and width of the rectangular

Answers

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.

Answers

Answer:

139284 238

Step-by-step explanation:

points reflected over an axis graphically

Answers

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.

points reflected over an axis graphically

Please help me i need help

Please help me i need help

Answers

Answer:

H

E

A

R

T

S

Step-by-step explanation:

easy

PLEASE HEEEEEEEEELLLLLLLLLPPPPPPP WILLING TO GIVE BRAINLIEST.

PLEASE HEEEEEEEEELLLLLLLLLPPPPPPP WILLING TO GIVE BRAINLIEST.

Answers

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)

Answers

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.

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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

What are the zeros of the function

Answers

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?

Answers

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.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

A graph is shown.6987654321100 1 2 3 4 5 6 7 8 9 10Which ordered pair describes a point that should be

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.

Answers

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 - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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If this pattern continues. How many sit-ups did Carrie do on day five

If this pattern continues. How many sit-ups did Carrie do on day five

Answers

16 sit-ups because 2 to the 5th power is 16

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.

Answers

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.

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One shirt at H&M cost $7. what is the cost of 40 shirts

Answers

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

Answers

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

Answers

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?

Answers

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.

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Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,

Answers

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.

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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?

Answers

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 ran

The 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

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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).

Answers

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.

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Evaluate the function graphically. Find (-6)

Evaluate the function graphically. Find (-6)

Answers

Answer:

5

Step-by-step explanation:

just see where x=-6

What is the slope? (IXL)

What is the slope? (IXL)

Answers

Answer:

2/3

Step-by-step explanation:

2/3 because you start from where the line starts and go up 2 and turn right 3 to left to get to the next point.

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.

Answers

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:

\(y = \sqrt{x} + 4\)

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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?

Answers

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.

Answers

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.

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help me please with the question I will mark BRAINLIEST ​

help me please with the question I will mark BRAINLIEST

Answers

Answer:

4^126^78^57^3

Step-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=7^2

if you take away 25 from a number you will be left with two and halftimes 30. what is the number?​

Answers

The answer would be 100.
If you take away 25 from (100) you get 75.
70 also equals 2.5*30

This is one I’m stuck on

This is one Im stuck on

Answers

Answer:

1.109

2.264

3.462

Step-by-step explanation:

Which expression is equivalent t to 2x+3y-x-(8+1)?

Answers

x+3y-9

Hope this helps!

X+3y-9 is your answer
....

Simplify 3\(\sqrt\)2-√2

Answers

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

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