What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?

Answer:

see below

Step-by-step explanation:

4x-7=13

Add 7 to each side

4x-7+7 = 13+7

4x=20

Divide each side by 4

4x/4 = 20/4

x = 5

Answer:

x=5

Step-by-step explanation:

[tex]\hookrightarrow 4x-7=13 \\\\\hookrightarrow 4x=13+7\\\\\hookrightarrow 4x=20\\\\\hookrightarrow x=20/4\\\\\hookrightarrow x=5[/tex]

Using your calculator the inverse sine of 0.48(sin⁻¹ 0.48) to the nearest degrees is 29 degrees.

According to the question, we are to use calculator to find the inverse sine of 0.48. This can be represented mathematically as follows:

sin⁻¹ 0.48

The exponential -1 tells us that it is an inverse sine.

The picture below gives are more pictorial way to use calculator to find inverse sine of 0.48.

Always check if your calculator is set in degree and not radian.

Therefore,

sin⁻¹ 0.48 = 28.6854020141

To the nearest degrees,

sin⁻¹ 0.48 = 29°

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Answer:

basic geometry and trig ratios

Step-by-step explanation:

sin 10 = 500/x

x = 500/sin 10

x = 2 879,4 m

Answer:

A = $13,116.03

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 10,000.00(2.71828)^(0.03875)(7)

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]

Comparing this expression with the expression we're provided with:

[tex]x^2 + 10x + c[/tex]

we see that:

[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

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Answer:

The probability of flipping a coin three times and getting 3 tails is 1/8.

Step-by-step explanation:

Answer:

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

= 5

= 10

=  +  = 15

= x - 3

= x + 1

A two column proof is presented as follows;

Statement          Reason

∠L ≅ ∠L             By Reflexive property of congruency

║           Given

∠LOP ≅ ∠LMN   By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN   By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

/  = / = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

= (x - 3) = 5 - 3 = 2

= 2

= x + 1 = 5 + 1 = 6

=  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©

Answer:

Red

Step-by-step explanation:

Hope it helps :)

Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.

The number of years for the loan = 10-year

The loan amount = $5,500

The number of years for the interest = 6 years

The monthly payment formula is presented as follows;

[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]

Which gives;

[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]

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Answer:

8,490 messages

Step-by-step

Answer:

For the 1st row:

6.38 - 6 19/50 - 638%

Step-by-step explanation:

I would suggest using MathPapa if you are trying to do it quick. MathPapa will only really help with finding fractions and percentages, though. To get the decimal, need to find percentages then move decimal to the left 2 times.

ex. 125% -> 1.25

I hope this helps! Have a blessed rest of your night!

Answer:

The answer is C 33.75 inches

Step-by-step explanation:

look at the explanation photo

Answer:

it will land on "1" exactly 12 times

Answer:

57393487

Step-by-step explanation:

un kilo por hora espero que te ayude

Answer:

3 rides/hour

Step-by-step explanation:

Not sure what ^^ guy was saying... And I don't understand why?

The correct answer is number of rides / hours.

21 / 7 = 3

The sales receipt for the purchase includes the sales tax

The sales tax is calculated as:

Percentage sales tax * (Sum of Items subjected to tax) =  Sales tax.

So, we have:

T * (3 + 0.5) =  0.21

Evaluate the sum

T * (3.5) =  0.21

Divide both sides by 3.5

T =  6%

Hence, the sales tax is 6%

The price (p) at the top is calculated using:

p = 13 - 3 - 2 - 0.5

Evaluate the difference

p = 7.5

Hence, the price at the top is $7.50

60% of the original price (P) is p.

So, we have:

60% * P = p

Substitute 7.5 for p

60% * P = 7.5

Divide both sides by 60%

P = 12.5

Hence, the original price at the top is $12.50

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Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle to find x

tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × tan42° = 10 ( divide both sides by tan42° )

x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )

-------------------------------------------------

using the sine ratio to find the hypotenuse h

sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )

h × sin42° = 10 ( divide both sides by sin42° )

h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )

Answer:

make the n in side and join together

equation: 2y = 3x + 15

If cross y-axis, the x will be 0

2y = 3(0) + 15

2y = 15

y = 7.5

crosses y-axis at (0, 7.5)

(b)

P(-1,10), Q(3,4)

(i) gradient:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{4-10}{3--1}[/tex]

[tex]\rightarrow \sf \dfrac{-6}{4}[/tex]

[tex]\rightarrow \sf -1.5[/tex]

(ii) midpoint:

[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (\dfrac{3-1}{2}, \dfrac{4+10}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (1,7)[/tex]

Answer:

$103.75

Step-by-step explanation:

Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)

8.30 hours x $12.50 per hour: $103.75

Step-by-step explanation:

the relationship between x and y is defined by a constant factor.

you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.

that makes it a linear relationship (a line on a chart, hence the name).

proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

so, yes, it is proportional.

and the table is then

x y

0 0

3 3×2/3 = 2

6 6×2/3 = 4

9 9×2/3 = 6

Answer:

3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard form: Ax + By = C

State whether each equation is in standard form.

A.) 3x + y = 8 (in standard form)

B.) x - y = 15z (not in standard form, because it has a variable(15z))

C.) x^2 + y = 11 (not in standard form, this is not a linear equation)

D.) 3xy + y^2 = 4 (not in standard form, this is not a linear equation)

E.) x + 4y = 12 (in standard form)

F.) 5x + 24y = 544 (in standard form)

Hope this helps!

Answer:

Her total would be $59 so, we would be a dollar extra.

The answer is Yes, the total will be $59.

Step-by-step explanation:

$58 - $18.50 = You need to earn $39.5.

Garden = $6.50 per hour

Cakes = $5.25 per hour

$6.50 X 3 hours = $19.50

$5.25 X 4 hours = $21

$21 + $19.50 = $40.50 totall

$18.50 + $40.50 = $59

Step-by-step explanation:

using cosine rule,

BC²= AC² + BC² - 2*AC*BC*COSc

= 13² + 6² - 2*13*6*-cos(180-91)

= 169 + 36 - (-2.72)

= 202.28

√BC² = √202.28

BC = 14.22

BC = 14.20cm to nearest tenth

Answer:

the answer is just ab

Step-by-step explanation:

dats what it is added up

The length of line segment AB is 12 inches for the given figure.

A secant is a straight line that touches a circle twice.

As per the given figure, we have

Secant segment  BD = (8+10) in.

External secant segment BC = 8 in.

Tangent segment = AB

When a secant segment and a tangent segment intersect at an exterior location, the square of the tangent segment's measure equals the product of the secant segment's and its external secant segment's measures.

So, AB² = BC × BD

Substitute the values in the above equation,

AB² = 8 × (8+10)

AB² = 8 × 18

AB² = 144

AB = 12

Thus, the length of line segment AB is 12 inches.

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The complete question has been attached below.

Answer: Between 1 and 3.

Step-by-step explanation:

You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3

x = 4, y = 6

In this case, you can solve the equation by substitution.

3x + 4y = 36

We are given that y = -1/2x + 8

Plug in that value assigned to y.

3x + 4(-1/2x + 8) = 36

3x -2x + 32 = 36

x + 32 = 36

x = 4

Now, we can return back to y

y = -1/2x + 8

y = -1/2(4) + 8

y = -2 + 8

y = 6

Answer:

slope is undefined

ex. a straight vertical line like x = 2 would have an undefined slope

Step-by-step explanation:

formula is

y2-y1 / x2-x1

-13 + 9 / -5 + 5

-4 / 0

slope is undefined

straight vertical line like x = 2 would have an undefined slope

undefined slope is the slope of any vertical line that goes up or down. There is no horizontal movement and hence the denominator is zero while calculating the slope. Thus the slope of the line is undefined.

cuemathcomgeometryundefinedslope

mathbootcampscom

the slope of a line passing through two points with the same x-coordinate, like (-5, -9) and (-5, -13), is undefined because the line is vertical and doesn't have a defined slope.

Slope (m) = (change in y) / (change in x)

In this case, you have two points: (-5, -9) and (-5, -13). The x-coordinates are the same (-5) for both points, which means there is no change in the x-coordinate. Therefore, the denominator in the slope formula becomes zero:

Slope (m) = (change in y) / (0)

When the denominator is zero, division is undefined in mathematics. This corresponds to a vertical line on a graph. A vertical line doesn't have a well-defined slope because it doesn't have a constant rate of change in the x-direction since the x-values don't change. Instead, the vertical line runs parallel to the y-axis.

So, the slope of a line passing through two points with the same x-coordinate, like (-5, -9) and (-5, -13), is undefined because the line is vertical and doesn't have a defined slope.

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Answer:

(2 , 4)

Step-by-step explanation:

set 3x-2 = -x + 6

4x = 8

x = 2

3(2) - 2 = 4