3x+y-77=0


Can anyone help me with this question it would really help me out

Answer:

C

Step-by-step explanation:

3x^2-30x=72

3(x^2-10x)=72

x^2-10x=24

Then do the subtitules

Answer:C

Give me brainlliest

Answer:   C   x = -2

Step-by-step explanation:

\(3x^{2} - 30x - 72 = 0\)

[Add 72 on both sides]

\(3x^{2} - 30x = 72\)

[Factorise Left Hand Side of equation to get 3 on one side of a bracket]

\(3(x^{2} -10x) = 72\)

[Divide each side by 3 to just get the brackets and the x's on one side]

\(x^{2} -10x = 24\)

[Minus 24 on both side as the equation must = 0]

\(x^{2} -10x-24=0\)

[Solve the square on the left hand side]

\((x-12)(x+2)=0\)

[Solve for x on left hand side - two possible answers]

\(x-12=0 \\ x=12\)

\(x+2=0\\x=-2\)

[The answer '12' is not in the option for the question so '-2' is the answer]

m = the slope of the curve at x=3 and b = the y-intercept at x=3. Therefore, the approximate value of y at x=2

We can use the local linearization of the curve to approximate the value of y at x=2.

The local linearization of the curve is given by the equation y = mx + b, where m is the slope of the curve at x=3 and b is the y-intercept at x=3.

Let m be the slope of the curve at x=3 and b be the y-intercept at x=3.

The slope of the curve at x=3 can be found by calculating the derivative of the curve at x=3.

The y-intercept at x=3 can be calculated by substituting x=3 into the equation of the curve and solving for y.

Therefore, m = the slope of the curve at x=3 and b = the y-intercept at x=3.

Substituting the values of m and b into the equation of the local linearization, we get the equation y = mx + b.

Substituting x=2 into the equation, we get y ≈ 0.5 + 1 = 1.5.

Therefore, the approximate value of y at x=2

The local linearization of the curve can be used to approximate the value of y at x=2. Substituting x=2 into the equation, we get y ≈ 1.5, which is the approximate value of y at x=2.

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Answer:  x=12,-4

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .

From the data present in problem,

Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0

Where, p = frequency of dominant alleles (C)

q = frequency of recessive alleles (c) = 0.3

Number of population individua's = 100

Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,

p² + 2pq + q² = 1.0

Where, p² = proportion of homozygous dominant individuals (Green)

• q² = proportion of homozygous recessive individuals (White)

2pq = proportion of heterozygotes (Green)

Since, p+ q = 1.0

=>p = 1 - q = 1 - 0.3 = 0.7

=>p = 0.7

The genotypic frequencies are as follows:

CC (p²) = (0.7) = 0.49

Cc (2pq) = 2x(0.3)(0.7) = 0.42

cc (9²) = (0.3)² = 0.09

p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0

The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49

Cc (2pq) = (0.42×100)= 42

cc(q²) = (0.09×100) = 9

The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91

Thus, required individuals percentage is 91%.

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The solution of the given equation is 2x² - 13x +13.

What is the solution of the equation?

The collection of all values that, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property and the multiplicative property are utilized to determine the solutions for equations needing a single unknown raised to a power of one.

What is the simplification rule?

For those sorts of reasoning that deal with conjunctions, the rule of simplification provides a strong argument. This covers natural deduction, predicate logic, and propositional logic.

Here, we have

Given equation 2(x - 2)² - 5(x - 2) - 5

By applying the simplification rule, we get

= 2(x - 2)² - 5(x - 2) - 5

= 2( x² + 4 - 4x ) - 5x +10 - 5

= 2x² + 8 - 8x - 5x + 5

= 2x² - 13x +13

Hence, the solution of the given equation is 2x² - 13x +13.

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If two hikers are 11 miles apart and walking towards each other and they meet in 2 hours, then if one hiker walks 0.3mph faster than the other, then the rate at which the slow hiker and fast hiker walk towards each other is equal to 2.6 and 2.9 mph respectively.

Consider, the speed of the slow hiker = s

Then, the speed of the fast hiker = s + 0.3

The distance covered by both the hikers in 1 hour = 2s + 0.3 miles

The distance covered by both the hikers in 2 hours = 2(2s + 0.3) = 4s + 0.6 miles

We can find the value of s by forming an algebraic expression as follows,

4s + 0.6 = 11

4s = 11 - 0.6

4s = 10.4

s = 10.4 / 4

s = 2.6

Speed of the slow hiker = s = 2.6 mph

Speed of the fast hiker = s + 0.3 = 2.6 + 0.3 = 2.9 mph

Hence, the rate at which the slow hiker and the fast hiker walk toward each other is equal to 2.6 and 2.9 mph respectively.

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Answer:

Side 3 = 5cm

Step-by-step explanation:

135/9=15

15/3=5

Answer:

20000 feet

Step-by-step explanation:

18000+ 2000 = 20000 feet

Answer:

20,000 feet is the cruising altitude.

Step-by-step explanation:

If they just descended 2,000 feet, and are now at 18,000, then we need to add back the 2,000 to get to the original alitutude. Once you have done this (added the two numbers), you will get 20,000. Hopefully this helps!

Answer:

n^2

Step-by-step explanation:

cancel the common factor between n^7 and n^2

There are 225 possible outcomes in the sample space if the spinner is spun twice

From the question, we have the following parameters that can be used in our computation:

Spinner

The number of sections in the spinner is

n = 15

If the spinner shown is spun twice, then we have

Outcomes = n²

Substitute the known values in the above equation, so, we have the following representation

Outcomes = 15²

Evaluate

Outcomes = 225

Hence, the possible outcomes are in the sample space are 225

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Answer:

-3x+10=5x-8

so basically its like grouping.

so answer is

8x=18?

Step-by-step explanation:

sorry if incorrect

Answer:

x=2.25

Step-by-step explanation:

three -x make -3x and 10 +1s make +10 and 5 xs make 5x and 8 -1s make -8

which makes

-3x+10=5x-8

just solve

18=8x

2.25=x

The equation is

Approximately 1575

Answer:

approximately 1,575 insects

Step-by-step explanation:

We can model this as an exponential equation.

General form of an exponential equation:  \(y=ab^x\)

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the population falls by 10% each year, then each year the population will be 90% of the previous year (since 100% - 10% = 90%)

Convert 90% into a decimal:  90/100 = 0.9

Therefore, the base of the exponential function is 0.9

Given:

\(\implies y=2400(0.9)^x\)

To find how many insects there will be in 4 years, substitute x = 4 into the equation and solve for y:

\(\begin{aligned}x=4 \implies y & =2400(0.9)^4\\& = 1574.64\end{aligned}\)

Therefore, there will be approximately 1,575 insects remaining in 4 years.

Consider X and Y with Var(X) = Var(Y) = 2/3 and Cov(X, Y) = 2/3. Then, Var(X + Y) ≠ Var(X) + Var(Y) because X and Y are not independent.

Let's consider two random variables X and Y, where X and Y are not independent.
The variance of the sum of X and Y is given by:
Var(X+Y) = Var(X) + Var(Y) + 2Cov(X,Y)
where Cov(X,Y) is the covariance between X and Y.

If X and Y are independent, then Cov(X,Y) = 0 and we have:
Var(X+Y) = Var(X) + Var(Y)

However, if X and Y are not independent, then Cov(X,Y) ≠ 0 and the variance of the sum of X and Y is not necessarily equal to the sum of their variances.
For example, let's say X and Y are the number of heads obtained in two consecutive flips of a biased coin. If the coin is biased such that the probability of obtaining a head on the first flip is 0.6 and the probability of obtaining a head on the second flip is 0.8, then X and Y are not independent.

The variance of X is:
Var(X) = npq = 2(0.6)(0.4) = 0.48
The variance of Y is:
Var(Y) = npq = 2(0.8)(0.2) = 0.32

The covariance between X and Y is:
Cov(X,Y) = E(XY) - E(X)E(Y) = (0.6)(0.8) - (0.6)(0.6)(0.8)(0.2) = 0.048

Therefore, the variance of the sum of X and Y is:
Var(X+Y) = Var(X) + Var(Y) + 2Cov(X,Y) = 0.48 + 0.32 + 2(0.048) = 0.896

As we can see, the variance of the sum of X and Y is not equal to the sum of their variances (0.48 + 0.32 = 0.8). This is because X and Y are not independent and their covariance contributes to the variance of their sum.

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Answer:

The answer is below!

Step-by-step explanation:

I hope this helps!

Answer:

For the first one,"3x+2y=0". i got 5=0.

For the second one,"x-5y=17". I got 3x

Step-by-step explanation:

Answer

x = 2 or x = -2

Option A

Step-by-step explanation:

By shifting it down(we are going 8 units below the origin on the y-axis), we have the equation as;

y = 2x^2 - 8

To find the root, we equate zero

0 = 2x^2 - 8

2x^2 = 8

x^2 = 8/2

x^2 = 4

x = square root of 4

x = +2 or -2

Answer: is A x=y=-2 and x=2

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Part A:

triangle QPR and triangle PSR are similar

Part B:

Triangle QPR is a right triangle with right angle QPR.

Triangle SPR is a right triangle with right angle PSR.

Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.

Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.

The similar triangles by AA Similarity are

triangle QPR and triangle PSR

Part C:

QR/PR = PR/SR

16/PR = PR/4

PR² = 16 * 4

PR² = 64

PR = 8

The probability of rolling a sum of 10 is \(\frac{1}{18}\)

as we know that total number of outcomes for a dice is equal to six raised to the power times the dice is rolled

that is,  total number of outcomes = \(6^{2} = 36\)

also, the sum can be equal to 10 in only two cases, (6,4) and (5,5)

according to the formula

Probability = \(\frac{favorable events}{ total number of outcome} = \frac{2}{36} = \frac{1}{18}\)

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Question:

You roll a fair six-sided die and record the result X. You roll the die again and record the result Y. What is the probability of rolling a sum of 10?

Answer:

I cant really see it but this will help 100%.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The spinner has 4 equally possible outcomes. The die has 6 equally possible outcomes.
Multiply the possible outcomes.
4*6=24

The score that separates the lower 60% from the top 40% is 213.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

Find the z-score that corresponds to the probability in the z-table. (see attached images)

probability = 60% = 0.60

z-score = 0.25362694300518124

Then solve for the value of the score that separates the lower 60% from the top 40% using the formula below.

z-score = (x – μ) / σ

where x = individual data value = score

μ = mean = 200

σ = standard deviation = 50

0.25362694300518124 = (x - 200) / 50

x = 212.68

x ≅ 213

Hence, the score that separates the lower 60% from the top 40% is 213.

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Answer:

d = 8t

Step-by-step explanation:

Step-by-step explanation:

you can simply multiply things out.

4/9 × y = 8/3

4y = 9×8/3 = 3×8 = 24

y = 6

or you could have transformed the right hand side into a fraction of the same denominator (9) :

8/3 = 8/3 × 3/3 = (8×3)/(3×3) = 24/9

4/9 × y = 24/9

that means 4y = 24

y = 6

Answer:

Step-by-step explanation:

42.70.8

Answer:

y = -(x - 2)^2.

Step-by-step explanation:

Vertex form is a(x - b)^2 + c   where  a is a constant and (b, c) is the vertex.

Here b = 2 and c = 0

So we have:

y = a( x - 2)^2 + 0

When x = 4 y = -4 so:

-4 = a( 4 - 2)^2

a = -4/2^2 = -1

So the required equation is

y = -(x - 2)^2.

Charlotte and her sister enjoyed a special dinner in a restaurant, and the bill was $53.86. 11.99%  tip did she leave.

Percent tip she give:

\(\frac{6.46}{53.86}\) × 100

= 11.99 %

A percentage, or percent, is a number smaller than or equal to 100. The term "per 100" refers to a percentage of a total amount. 45 percent, for instance, is 45 out of 100. Finding the share of a whole in terms of 100 is what percentage means. You can use online calculators or manually calculate it.

Percentages are utilized extensively and in numerous contexts. Discounts in stores, interest rates at banks, inflation rates, and numerous media statistics are all expressed as percentages. Understanding the financial aspects of everyday life requires knowledge of percentages.

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Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 128 and 144 is 16Divide both the numerator and denominator by the GCD

128 ÷ 16144 ÷ 16Reduced fraction: 89

Therefore, 128/144 simplified to lowest terms is 8/9.