Which of the following is the factored form of the quadratic *
12x^2+5x-2=0

1.(4x - 1)(3x - 2)
2.(4x - 1)(3x + 2)
3.(4x + 1)(3x - 2)

Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

Answer:

Radius. 7, 25, 14, 35, 50, 70

Diameter 14, 50, 28, 70, 100, 140

Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

Hope that helped,

-sirswagger21

Answer:

if we assume that

tan = opp/adj

then we can find the hypotenus by using phytagoras law

h² = o² + a²

h² = (m-1)² + (2√m)²

h² = m² - 2m + 1 + 4m

h² = m² + 2m + 1

then we factorized become

h² = (m + 1)²

h = m+1

so for sin x = opp/hyp = (m-1)/(m+1)

hope this can help you.

Answer:

4 days

Step-by-step explanation:

there are 8 pints in a gallon

Answer:

4 days.

please see the attached picture for full solution solution.

hope it helps

good luck on your assignment

[tex]the \: answer \: is \: 24 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

771

Step-by-step explanation:

Answer:

771

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Here, given the function f(x), we want to calculate f(1)

Mathematically, this means we shall substitute 1 for the value of x in that function.

Thus, given F(x) = 1-x

Then F(1) would be = 1-1 = 0

Answer: 4 units

Step-by-step explanation:

The side that is opposite of B would be the side that is across from B

3 is across from A

5 is across from C

4 is across from B

The question is an illustration of right triangles

The length of the side opposite angle B is 4 units

From the figure, we can see that the triangle is a right triangle, with the following angles

Angle B

Angle A

Angle C

The triangle is right-angled at angle C.

From the figure, the length opposite angle B is length AC.

Where

AC = 4

Hence, the length of the side opposite angle B is 4 units

Read more about isosceles right triangle at:

https://brainly.com/question/20447308

Answer:

r < 1/3

Step-by-step explanation:

21r<7

Divide each side by 21

21r/21<7/21

r < 1/3

Answer:

[tex] r < \frac{1}{3} \\ [/tex]

Step-by-step explanation:

[tex]21 \: r < 7 \\ \frac{21 \: r}{21} < \frac{7}{21} \\ r < \frac{1}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

=========================================================

How to get this answer:

The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation [tex]BA \perp BD[/tex]. The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.

--------

(angle ABC) + (angle CBD) = angle ABD

4x + 5x = 90

9x = 90 ... combining like terms

9x/9 = 90/9 ... dividing both sides by 9

x = 10

-------

If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC

If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD

We see that ABC+CBD = 40+50 = 90

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

7 2

Step-by-step explanation:

Answer:

72^2 units

Step-by-step explanation:

A=a+b/2×h

A=12+6/2×8

A=18/2×8

A=9×8

A=72^2units

Answer:

c

Step-by-step explanation:

gm=cm+rg

gm-cm=rg

m(g-c)/g-c = rg/g-c

m=r g/g-c

     -3m=4m-15

-3m-4m=-15

-7m=-15

-15/-7m

= -2.14

-15/-3-4= 2.14

Answer:

The answer is C. I just got it right

Step-by-step explanation:

Answer:

-1 13/56

Step-by-step explanation:

[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]

#I_hope_this_helps

#save_earth

#stay_at_home

#keep_spirit

Answer:

i hope this will help you

Step-by-step explanation:

a 365+94+35

=494

b 896+423+104

=1423

c 379×25×4

=45480

d 89×125×8

=89000

Answer:

x = 4, -4

Step-by-step explanation:

f(x)= x^2 + 7

f(x) =23

23 = x^2+7

Subtract 7 from each side

23-7 = x^2 +7-7

16 = x^2

Take the square root of each side

±sqrt(16) = sqrt(x^2)

±4 = x

Answer:

9n-5

Step-by-step explanation:

Let n=the number:

9n-5

Answer:

58 / (24 + 58) = 29/41

Step-by-step explanation:

Answer:

x²-5x-36

=> x²-9x+4x-36 = 0

=> x(x-9)+4(x-9)

=> (x-9) (x+4)

Step-by-step explanation:

Answer:

(x-9) (x+4)

Step-by-step explanation:

x^2 – 5x - 36,

What two numbers multiply to -36 and add to -5

-9 *4 = -36

-9+4 = -5

(x-9) (x+4)

Answer:

I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.

Step-by-step explanation:

Answer:

Equation:  19^2 - 11^2 = width

Step-by-step explanation:

use Pythagorean theorem to find the width.

so, 19^2 - 11^2 = 361-121= 240.

so width = square root of 240

Answer:

19^2 - 11^2 = width

Step-by-step explanation:

Answer:

[tex] \boxed{x = p(m - n)} [/tex]

Step-by-step explanation:

[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]

Answer:

True.

Step-by-step explanation:

The circumference is the perimeter of a circle. The complete path around the circle is called the circumference.

Answer:

True

The distance around the circle makes up the circumference.

Answer:

  2. ±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36

  3. see below for synthetic division

  4. complex roots: ±3i

  5. see the second attachment for a graph (has no symmetry)

Step-by-step explanation:

2. The Rational Root Theorem tells you possible rational roots are the form of ...

  ±(divisor of constant term) / (divisor of leading coefficient)

Here, we're lucky in that the leading coefficient is 1. The constant is 36, and its divisors are 1, 2, 3, 4, 6, 9, 12, 18, 36. Possible rational roots, according to the Rational Root Theorem are ...

  ±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36

__

3. When actually searching for possible roots, it is useful to narrow down this list of 18 candidates. We can do this using Descarte's Rule of Signs and a couple of other simple tests. The rule of signs has us look at the signs of the coefficients. They are ...

  + + + + +

There are no sign changes, hence no positive real roots. This means we're looking at negative roots only.

We know that p(0) = 36, the constant term. We can evaluate p(-1) simply, by reversing the signs of the odd-degree coefficients and adding them up:

  1 -4 +13 -36 +36 = 10

So p(0) = 36 and p(-1) = 10. The average rate of change is -26, so we expect p(-2) to be zero or less. That value (-2) may be a good first choice for a possible root.

The synthetic division for the root -2 is shown in the first attachment. It shows a remainder of 0, so -2 is a root. The polynomial with the corresponding factor divided out is ...

  q(x) = x^3 +2x^2 +9x +18

__

We can apply the above steps to this polynomial. It will have no positive real roots. The value of q(0) is 18, and the value of q(-1) is -1 +2 -9 +18 = 10. The average rate of change between these points is (18 -10)/(0 -(-1)) = 8, so we expect the function to be zero or negative between x=-2 and x=-3.

Further, we observe that the ratio of the first two coefficients is 1 : 2, the same as the 9 : 18 ratio of the last two coefficients. This suggests we can factor this polynomial by "grouping."

  q(x) = (x^3 +2x^2) +(9x +18) = x^2(x +2) +9(x +2) = (x^2 +9)(x +2)

So, without doing any more synthetic division, we have found a second root at x = -2. This means -2 is a double root.

Our factorization so far is ...

  p(x) = (x +2)^2(x^2 +9)

__

4. The remaining polynomial factor (x^2 +9) has only complex roots:

  x^2 +9 = 0

  x^2 = -9

  x = ±√(-9)

  x = ±3i . . . . the complex roots

__

5. The graph is shown in the second attachment, along with the graph of the final quadratic factor.

The leading coefficient is positive and p(x) is of even degree, so it will have a general U shape, going to +∞ for large positive and negative values of x.

Since x = -2 is a double root, the graph touches the x-axis there, but does not cross it.

The graph of p(x) shows no symmetry.

______

Comment on the graph

With modern graphing calculator software it is entirely feasible to start by graphing the polynomial, then reading the (rational) roots from the graph. The same calculator can effectively divide out those roots. If the result is a quadratic, its vertex form equation can be read from the graph, making it easy to find any additional real or complex roots.

This graph shows ...

  p(x) = (x +2)^2·q(x)

  q(x) = x^2 +9

Answer:

Options (B), (C) and (F) are correct.

Step-by-step explanation:

Properties of a rhombus,

1). All sides of a rhombus are equal in measure.

2). Both the diagonals of a rhombus are the perpendicular.

3). Diagonals bisect the vertex angles.

By these properties of a rhombus,

Option (B): PR is perpendicular to QS.

Option (C): ∠QPR ≅ ∠SPR

Option (F): PQ ≅ QR

Therefore, options (B), (C) and (F) are correct.

Answer:

B, C, F, and E are all correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

power i guess

Answer:

Exponent, Power or Indices

Step-by-step explanation:

The number is called Exponent, Power or Indices

Answer:

D, 4

Step-by-step explanation:

The graph crosses the x-axis 4 different times

Answer:

1) 13.3 cm

2) 48.3 cm

Step-by-step explanation:

1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.

Let OB = x, OC = OB + BC = x + 8

Therefore:

[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]

The height of triangle ODC = OC =  x + 8 = 5.3 + 8 = 13.3 cm

2) Using Pythagoras theorem:

OD² = OC² + DC²

OD² = 13.3² + 15²

OD² = 401.89

OD = √401.89 = 20 cm

2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm