Four times a number is 88 less than 6 times the number. Find the number.​

9514 1404 393

Answer:

Step-by-step explanation:

Rewriting the equations to make x the subject, we have ...

  x = y² -1 . . . . . [eq1]

  x = 1 - y . . . . . .[eq2]

At the points of intersection, the difference will be zero.

  y² -1 -(1 -y) = 0

  y² +y -2 = 0

  (y -1)(y +2) = 0

The y-coordinates of points A and B are 1 and -2.

The corresponding x-coordinates are ...

  x = 1 -{1, -2} = {1 -1, 1+2} = {0, 3}

Then A = (0, 1) and B = (3, -2).

__

A differential of area can be written ...

  (x2 -x1)dy = ((1 -y) -(y² -1))dy = (2 -y -y²)dy

Integrating this over the interval y = [-2, 1] gives the area.

  [tex]\displaystyle A=\int_{-2}^1(2-y-y^2)\,dy=\left.(2y-\dfrac{1}{2}y^2-\dfrac{1}{3}y^3)\right|_{-2}^1\\\\=\left(2-\dfrac{1}{2}-\dfrac{1}{3}\right)-\left(2(-2)-\dfrac{(-2)^2}{2}-\dfrac{(-2)^3}{3}\right)=\dfrac{7}{6}+4+2-\dfrac{8}{3}\\\\=\boxed{4.5}[/tex]

The area of the shaded region is 4.5 square units.

Answer:

Step-by-step explanation:

√121 = 11

√900 = √30^2 = 30

∛125 = ∛5^3 = 5

∛729 = ∛9^3 = 9

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Explanation:

Let's find angle D. Recall that for any triangle, the interior or inside angles always add to 180 degrees.

A+D+C = 180

32+D+41 = 180

D+73 = 180

D = 180-73

D = 107

Now notice that triangle ADC is congruent to triangle ABC. We can use the SSS congruence theorem to prove this.

The identical triangles must have corresponding angles that are the same measure, meaning angle D = angle B = 107 degrees.

Side note: This quadrilateral is a kite because it has two pairs of adjacent congruent sides, but not all four sides are the same length (or else it would be a rhombus).

Answer:

-00

OKAY

OKAY

OK

OK

DGSOTSITS6EUEYEYTITUTUTIT

Answer:

Step-by-step explanation:

we are given  the angles ∠5 , ∠4 , ∠3 , but with one variable,  "X"  :)

also we are told ∠AOC is bisected by OB , meaning that ∠1 = ∠2

and the EC is perpendicular to OD ,  so ∠4+∠5=90°

since we are given ∠4 & ∠5,  lets use that to solve for "X"

:)

90= x-6 + 2x+4

90= 3x -2

92 =3x

30[tex]\frac{2}{3}[/tex] ° = x

30.6666666666666666 ° = x

Answer: You will never reach a sum of 2. You would need infinitely many terms to sum up.

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Explanation:

We have this sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

which is geometric with the following properties

Notice how we multiply each term by 1/2 to get the next term. Eg: (1/4)*(1/2) = 1/8 or (1/16)*(1/2) = 1/32.

Since r = 0.5 is between -1 and 1, i.e. -1 < r < 1 is true, this means that adding infinite terms of this form will get us to approach some finite sum which we'll call S. This is because the new terms added on get smaller and smaller.

That infinite sum is

S = a/(1-r)

S = 1/(1-0.5)

S = 1/0.5

S = 2

So if we keep going with that pattern 1+1/2+1/4+... and do so forever, then we'll reach a sum of 2. However, we cannot go on forever since it's asking when we'll reach that specific sum. In other words, your teacher wants finitely many terms to be added.

In short, we'll never actually reach the sum 2 itself. We'll just get closer and closer.

Here's a list of partial sums

We can see that we're getting closer to 2, but we'll never actually get there. We'd need to add infinitely many terms to get to exactly 2.

Answer:

A. TRUE

Step-by-step explanation:

To determine if two triangles are congruent, we need to establish the facts that the three angles and three side lengths of one is congruent to corresponding angles and side lengths of the other triangle.

The diagram given only tells us the angle measure of the two triangles which are congruent to each other. The side length wasn't given. Therefore, the triangles may not be congruent.

Answer:

0.0668 = 6.68% probability a randomly selected year will have an average snowfall above 200 inches.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a average of 170 inches, and a standard deviation of 20 inches.

This means that [tex]\mu = 170, \sigma = 20[/tex]

What is the probability a randomly selected year will have an average snowfall above 200 inches?

This is 1 subtracted by the p-value of Z when X = 200. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 170}{20}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability a randomly selected year will have an average snowfall above 200 inches.

Answer:

3z+3x=2

Step-by-step explanation:

3z+8=12+3x-2

collecting like terms

3z-3x=12-2-8

3z-3x=2

3z=2+3x

divide through by three

z= ⅔+x

Answer:

your answer is 18

Step-by-step explanation:

if one bar is shaped into 1/3 of strip.

know,

9 bars =3 × 9

=18

Answer:

9. C

10. C

11. C

Step-by-step explanation:

9.

simply, [tex]\frac{4}{5} >\frac{2}{3}[/tex]

10.

the greatest divisor of 28 is 7, so:

28 + 7 = 35

11.

the greatest divisor of 15 is 5, so:

15 + 5 = 20

n = 20

the greatest divisor of 20 is 10, so:

20 + 10 = 30

Answer:

The next number is going to be 21

Answer:

19

Step-by-step explanation:

4 even number

3,5,7 odd numbers

14 even

17, 19, 21 even

Answer:

RM 1200 kalau ada gambar cuba insert

Answer:

(-5,2)

Step-by-step explanation:

A function is a relation where each y-value has a unique x-value. That means that x's can never repeat. Therefore, to solve find the ordered pair that does not have the same x-value as one of the points on the graph. The x-values currently represented on the graph are -4, -2, 2, 3. So, the only coordinate pair that does not repeat an x-value is the last option, (-5, 2).

Answer:

The equation of [tex]f(x) = e^{-3\cdot x}[/tex] by Maclaurin series is [tex]f(x) = \Sigma\limits_{i=0}^{\infty} \frac{(-3\cdot x)^{i}}{i!}[/tex].

Step-by-step explanation:

The Maclaurin series for [tex]f(x)[/tex] is defined by the following formula:

[tex]f(x) = \Sigma\limits_{i = 0}^{\infty} \frac{f^{(i)}(0)}{i!} \cdot x^{i}[/tex] (1)

Where [tex]f^{(i)}[/tex] is the i-th derivative of the function.

If [tex]f(x) = e^{-3\cdot x}[/tex], then the formula of the i-th derivative of the function is:

[tex]f^{(i)} = (-3)^{i}\cdot e^{-3\cdot x}[/tex] (2)

Then,

[tex]f^{(i)}(0) = (-3)^{i}[/tex] (2b)

Lastly, the equation of the trascendental function by Maclaurin series is:

[tex]f(x) = \Sigma\limits_{i=0}^{\infty} \frac{(-3)^{i}\cdot x^{i}}{i!}[/tex]

[tex]f(x) = \Sigma\limits_{i=0}^{\infty} \frac{(-3\cdot x)^{i}}{i!}[/tex] (3)

Incurring a budget surplus and allowing that surplus to accumulate as idle Treasury balances. Then the correct option is B.

A span of transitory negative growth marked by a drop in Income in four quarters.

The negative effects of a recession would be reduced by the fiscal policy decision will be

Incurring a budget surplus and allowing that surplus to accumulate as idle Treasury balances

Then the correct option is B.

More about the Recession link is given below.

https://brainly.com/question/18075358

#SPJ1

Answer:

5:8

Step-by-step explanation:

By question it's given that ,

[tex]\implies a:b = 1:2 [/tex]

Let us suppose that the common ratio is x , therefore the Numbers ,

[tex]\implies a = 1x [/tex]

[tex]\implies b = 2x [/tex]

And we need to find the value of ,

[tex]\implies (3a + b): (4a + 2b ) \\\\\implies (3 * x + 2x ) : (4*x + 2*2x ) \\\\\implies (3x + 2x):(4x+4x)\\\\\implies 5x : 8x \\\\\implies 5:8 [/tex]

Hence the required answer is 5:8 .

Answer:

D)

[tex]an = -6 \times {( \frac{1}{4} )}^{n - 1} [/tex]

Step-by-step explanation:

(See the picture)

The explicit formula is given as [tex]T_n=-6(\frac{1}{4} )^{n-1}[/tex]

The general explicit formula for a geometric sequence is expressed as:

Given the following recursive functions:

[tex]a_1=-6\\ a_n=a_{n-1}\cdot\frac{1}{4} [/tex]

Get the next two terms:

[tex]a_2=a_{1}\cdot\frac{1}{4} \\ a_2=-6\cdot\frac{1}{4} \\ a_2=\frac{-3}{2} [/tex]

For the third term:

[tex]a_3=a_{2}\cdot\frac{1}{4} \\ a_3=\frac{-3}{2} \cdot\frac{1}{4} \\ a_3=\frac{-3}{8} [/tex]

The common ratio for the sequence will be [tex]\frac{1}{4} [/tex]

The explicit formula is given as [tex]T_n=-6(\frac{1}{4} )^{n-1}[/tex]

Learn more on explicit functions here: https://brainly.com/question/10308651

Answer:

Step-by-step explanation:

She needs 12 pizzas

x + y = 12

She also can't spend more than 180 dollars.

8x + 11y < 180 She can get all 12 pizzas and have the bill come to 132 dollars

11 * 12 = 132

She could really be kind to her pocket book and get all cheese pizzas

8*12 = 96 which saves her 36 dollars.

So any number of either kind will do.

(0,12) = 132

(1,11) = 8*1 + 11*11 = 129

and so on down the line

9514 1404 393

Answer:

  4.1

Step-by-step explanation:

x is the short leg of a right triangle with hypotenuse 8.8 cm and longer leg 7.8 cm. Its measure is found using the Pythagorean theorem:

  x^2 +7.8^2 = 8.8^2

  x^2 = 77.44 -60.84 = 16.60

  x = √16.6

  x ≈ 4.1

Answer: The ans is imaginary . option c

Answer:

Grey's Anatomy

Step-by-step explanation:

her profit is 204 dollars and 68 cents= 204.68

Answer:

x = 4/3

Step-by-step explanation:

Answer:

[tex]A=603.18\ cm^2[/tex]

Step-by-step explanation:

The length of a blade, r = 24 cm

The sweeping angle is 120°.

We need to find the total area cleaned at one sweep of the blade. The area of sector is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2[/tex]

[tex]A=\dfrac{120}{360}\times \pi \times 24^2\\\\=603.18\ cm^2[/tex]

So, the total area cleaned at one sweep of the blade is [tex]603.18\ cm^2[/tex].

Answer:

|a|

Step-by-step explanation:

For any positive or negative a, when you square it, the answer is positive.

The square root symbol means the principal square root. For a positive number, the principal square root is positive. To make sure the square root is always non-negative, use absolute value.

Answer: |a|