Factor completely 36x2 + 6x - 6

Answer:

Ordered Pair An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Step-by-step explanation:

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Answer:

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

Step-by-step explanation:

Answer:

u + 15

Step-by-step explanation:

Since we don't know the value of u, we have to put the equation like this.

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Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

           0        -1            -1         -1        

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

Answer:

I got 1.19446588127

Answer:

8

Step-by-step explanation:

make 8 bouquets: Each bouquet will have 2 red flowers and 3 yellow flowers.

Answer:

[tex]m=8[/tex]

Step-by-step explanation:

[tex]9m-3(m+6)=2(m+7)[/tex]

[tex]9m-3m-18=2m+14[/tex]

[tex]6m-18=2m+14[/tex]

[tex]4m= 32[/tex]

[tex]m=8[/tex]

Answer:

×=11/4

Step-by-step explanation:

0=-2x+6x-11

0=4x-11

-4x=-11

x=11/4

Step-by-step explanation:

Hey there!

Given;

[tex] {2}^{4x - 1} =32 [/tex]

[tex] {2}^{4x} . {2}^{ - 1} = {2}^{5} [/tex]

[tex] {2}^{4x} . \frac{1}{2} = {2}^{5} [/tex]

[tex] {2}^{4x} = {2}^{5} . {2}^{1} [/tex]

[tex] {2}^{4x} = {2}^{6} [/tex]

[tex]4x = 6[/tex]

[tex]x = \frac{6}{4} [/tex]

[tex]x = \frac{3}{2} [/tex]

7.)

[tex] \sqrt{x} - 3 = 7[/tex]

[tex] \sqrt{x} = 7 + 3[/tex]

[tex]( { \sqrt{x}) }^{2} = {(10)}^{2} [/tex]

X= 100

8.)

[tex]( {x + 1)}^{2} = 81[/tex]

[tex](x + 1) = \sqrt{81} [/tex]

[tex]x + 1 = \sqrt{ {9}^{2} } [/tex]

[tex]x + 1 = 9[/tex]

[tex]x = 9 - 1[/tex]

X=8

Hope it helps...

Answer:

19040 grams

Step-by-step explanation:

Dan used the amount of flour each day = 0.68 kg

He used the flour for 4 weeks.

So the number of days taken by Dan = 4 × 7 = 28 days

Now amount of flour used in 28 days = Flour used in a day × Number of days

= 0.68 × 28

= 19.04 kg

Since 1 kg = 1000 grams

Therefore, 19.04 kg = 1000 × 19.04 = 19040 grams

Dan used 19040 grams of flour in 4 weeks.

The number of grams of flour that was used is 19040 grams.

Since Dan used 0.68 kilogram of flour each day for 4 weeks, this means that the flours used will be:

= 0.68 × 4

= 2.72kg

Therefore, 2.72kg will be converted to grams and this will be:

= 2.72 × 1000 = 2720 grams

Now, we'll multiply the value by 7 since there are 7 days in a week. This will be:

= 2720 × 7 = 19040

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Answer:

B) p<5

Step-by-step explanation:

Answer:

Gabriela Mistral works as a humanitarian for [tex]8[/tex] days.

Step-by-step explanation:

Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.

Ratio is [tex]1:1:3:2[/tex]

Let [tex]x[/tex] denotes total number of days Gabriela Mistral work.

As she works 12 days as a teacher,

[tex]\frac{3}{7}x=12\\ x=\frac{7}{3}(12)\\ x=28[/tex]

Total number of days [tex]=x=28[/tex]

So,

she works as a humanitarian for [tex]\frac{2}{7}x=\frac{2}{7}(28)=8[/tex] days.

[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]

Answer:

If 16 quarters is equal to 2 toonies, then 1 quarter is;

16 : 2

1 : x

16x = 2

x = 2/16

x = 1/8 toonies

20 quarters would therefore be;

= 1/8 * 20

= 2.5 toonies

24 quarters would be;

= 1/8 * 24

= 3 toonies

Answer:

Line A and Line C are parallel.

Step-by-step explanation:

Answer/Step-by-step explanation:

Given:

m<9 = 80°,

m<5 = 68°

Lines w and v are parallel to each other.

m<1 = m<9 (corresponding angles theorem)

m<1 = 80°

m<2 + m<1 = 180° (linear pair)

m<2 + 80° = 180° (substitution)

m<2 = 180° - 80°

m<2 = 100°

m<3 = m<1 (vertical angles are congruent)

m<3 = 80°

m<4 = m<2 (vertical angles are congruent)

m<4 = 100°

m<6 + m<5 = 180° (linear pair)

m<6 + 68° = 180° (substitution)

m<6 = 180° - 68°

m<6 = 112°

m<7 = m<5 (vertical angles)

m<7 = 68°

m<8 = m<6 (vertical angles)

m<8 = 112°

m<10 = m<2 (corresponding angles)

m<10 = 100°

m<11 = m<9 (vertical angles)

m<7 = 80°

m<12 = m<10 (vertical angles)

m<12 = 100°

m<13 = m<5 (corresponding angles)

m<13 = 68°

m<14 = m<6 (corresponding angles)

m<14 = 112°

m<15 = m<13 (vertical angles)

m<15 = 68°

m<16 = m<14 (vertical angles)

m<16 = 112°

Answer:

its a anwser

Step-by-step explanation:

22+2 = 187

Answer:

D

Step-by-step explanation:

Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is

[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values

[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )

12x = 156 - x ( add x to both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Thus

AC = 156 - x = 156 - 12 = 144 → D

Answer:

D.  144

Step-by-step explanation:

Triangle BAC is similar to triangle DEC, so you can set up a ratio:

[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]

Then cross multiply

84x = 7 (156 - x)

84x = 1092 - 7x

Add 7x to both sides.

91x = 1092

Divide both sides by 91.

x = 12

AC = 156 - x

AC = 156 - 12

AC = 144

Answer:

f(- 3) = - 14

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x), that is

f(- 3) = (- 3)³ + 2(- 3)² - 5 = - 27 + 2(9) - 5 = 27 + 18 - 5 = - 14

Answer:

89/3x

Step-by-step explanation:

Use Marhway for these types of problems

Answer:

The point (1 | 6) is on the graph.

Step-by-step explanation:

Answer:

it is 1/6

Step-by-step explanation:

Answer:

[tex]2x^5-9x^4+0x^3-2x^2+0x+10[/tex]

Step-by-step explanation:

A polynomial is in standard form when its terms are ordered from highest to lowest degree.

If the polynomial is missing terms, it must be completed by setting their coefficients to 0.

The given polynomial is:

[tex]2x^5-9x^4-2x^2+10[/tex]

The terms are ordered, but it's incomplete. The terms with exponent 3 and 1 must be included with zero coefficient.

Thus the polynomial in standard form is:

[tex]\boxed{2x^5-9x^4+0x^3-2x^2+0x+10}[/tex]

Answer:

2

Step-by-step explanation:

slope= change of y/change of x

slope=6/3=2

Answer:

Step-by-step explanation:

[tex]-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29[/tex]

Answer:

2.14159265358979323846264338327930288419716939937510582097494459230

Step-by-step explanation:

there's a song that I know

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3

Answer:

just fill in -4 for x so it would be g(-4)

Step-by-step explanation:

Happy Halloween

Answer:4

Step-by-step explanation: 1x2x1x2

Answer: it would be 2

Step-by-step explanation: