Which of the following are solutions to the quadratic equation? Check all that apply.
x2 + x-12 = 0

A. -1
B. 28
C. 2
D. 4
E. 3
F. -4​

Answer:

C: 40 teaspoons.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This is a straight proportion question. Many things can be solved with a proportion. This is a good example of what is possible.

Formula

3 teaspoons       x

======              =========

36 cookies        480 cookies

Notice that in the end, the units of teaspoons will be left. Multiply both sides by 480

3 teaspoons * 480 cookies

=======================            =  X

36 cookies

Notice the cookies cancel

3 teaspoons * 480

===============     =  x

36

x = 1440/36 teaspoons.

x = 40 teaspoons

answer: C

Answer:

336m^2

Step-by-step explanation:

The triangle area is half of base times height so: 1/2*8*12=48m^2

There are 4 triangles so 48*4=192

Then the square base area is side times side so: 12*12=144m^2

Then surface area of model is 192m^2+144m^2=336m^2

Answer:

336 m²

Step-by-step explanation:

We can find the surface area of this pyramid by finding the surface area of one of the sides, multiplying it by 4 (as there are 4 sides to the pyramid) then adding it to the surface area of the base.

Each side of this (excluding the base) is a triangle, and to find the area of a triangle we use the equation [tex]\frac{b \cdot h}{2}[/tex].

[tex]\frac{12 \cdot 8}{2}[/tex]

[tex]\frac{96}{2}[/tex]

48.

So, one side of this is 48. Multiplying it by 4 gets us 192.

Now we have to add the area of the base. The area of the bass is a square with side lengths of 12, so we can square 12 to get the area of the bass. 12² = 144.

Now let's add these numbers:

192+144 = 336

So, 336 m² is what this comes out to.

Hope this helped!

Answer:

Step-by-step explanation:

Hello

p(A∪B) = p(A) + p(B) - p(A∩B) = 0.5 + 0.4 - 0.15 = 0.9 - 0.15 = 0.75

hope this helps

Answer:

Circle B:

[tex](x+4)^2+(y+3)^2=4[/tex]

Circle F:

[tex](x-4)^2+(y-1)^2=16[/tex]

Step-by-step explanation:

We can write the equation of a circle equation with center on (h,k) and radius r as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Then, we analyze the circle will have for the circle B:

- It has a center in x=-4 and y=-3.

- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.

Then, we can write the equation as:

[tex](x-h)^2+(y-k)^2=r^2\\\\h=-4\\k=-3\\r=2\\\\(x+4)^2+(y+3)^2=4[/tex]

we analyze the circle will have for the circle F:

- It has a center in x=4 and y=1.

- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.

Then, we can write the equation as:

[tex](x-h)^2+(y-k)^2=r^2\\\\h=4\\k=1\\r=4\\\\(x-4)^2+(y-1)^2=16[/tex]

Answer:

$14,362

Step-by-step explanation:

The computation of the minimum unit cost is shown below:

Given that

0.6x^2 - 108x + 19,222

And as we know that the quadratic equation form is

ax^2 + bx + c

where

a = 0.6

b = -108

c = 19,222

Now for determining the minimal cost we applied the following formula which is

[tex]= \frac{-b}{2a} \\\\ = \frac{-(-108)}{2\times 0.6} \\\\ = \frac{108}{1.2}[/tex]

= 90

Now put these values to the above equation

[tex]= 0.6\times 90^{2} - 108 \times 90 + 19,222[/tex]

= 14,362

Answer:

The formula would be

T(n) = 64 (-3/4)^n, n=0,1,2,...

or sometimes

T(n) = T(n-1)(-3/4),     T(0) =64, n=0,1,2,...

Step-by-step explanation:

The common ratio is -3/4, i.e.

(-3/4) * 64 = -48

(-3/4) * 48 = 36

(-3/4) * 36 = -27

...

The formula would be

T(n) = 64 (-3/4)^n, n=0,1,2,...

or sometimes

T(n) = T(n-1)(-3/4),     T(0) =64, n=0,1,2,...

Note: Would have been easier if the choices were supplied.

Answer:

The bank offering simple interest at rate of 3% for four years

Step-by-step explanation:

Hello,

To find out which deal would be better, we have to find how much accrued on the simple and compound interest.

Data;

Principal (P) = $7,000

Time = 4 years

Simple interest rate = 3%

S.I = PRT / 100

S.I = (7000 × 3 × 4) / 100

S.I = $840

In four years, he would have $7000 + $840 = $7840.

For compound interest,

C.I = P(1 + r/n)^nt

Where n = number of time compounded = 1 (since it's annually)

rate = 2.5% = 2.5/ 100 = 0.025

C.I = 7000(1 + 0.025/1)⁽¹*⁴⁾

C.I = 7000 (1 + 0.025)⁴

C.I = 7000×(1.025)⁴

C.I = 7000 × 1.1038

C.I = $7726.6

In four years he would have $7,726.6

After calculating and evaluating both option, it's advisable for him to select the bank offering a simple interest of 3% for four years

Answer:

-6y^4 + 4y^2 - 12.

Step-by-step explanation:

(6y^4 + 3y^2 - 7) - (12y^4 - y^2 + 5)

= 6y^4 + 3y^2 - 7 - 12y^4 + y^2 - 5

= 6y^4 - 12y^4 + 3y^2 + y^2 - 7 - 5

= -6y^4 + 4y^2 - 12.

Hope this helps!

Answer:

7.8

Step-by-step explanation:

To do this problem you need to know Pythagorean Theorem which is also known as [tex]a^{2} +b^{2} =c^{2}[/tex].

In this problem 6 would be a, 5 would be b, and d would be c. So to do this we would do 5 squared (which is 25)+ 6 squared which is 36) and you would get 61 and when you do that you will just take the square root of that which is 7.81 and round it to the nearest tenth which is 7.8 and that would be the final answer

Answer:

Lines r and s are parallel as Corresponding Angles given. There are four pairs of corresponding angles: angle 1 and angle 5, angle 2 and angle 6, angle 3 and angle 7, and angle 4 and angle 8. Since r and s are parallel, the slope of r is equal to the slope of s. Since t is a straight line, the slope of t is the same at both intersections, by the definition of a straight line. Thus, the corresponding angles created at both intersections must have the same measure, since the difference of the slopes at each intersection is the same, and the intersections share a common line. So, corresponding angles must have equal measure. Therefore, by definition of congruent angles, corresponding angles are congruent: angle 1 is congruent to angle 5, angle 2 is congruent to angle 6, angle 3 is congruent to angle 7, and angle 4 is congruent to angle 8.

Step-by-step explanation

answer from haven

Answer:

x=20

Step-by-step explanation:

3x + 2x + 80=180

5x+80=180

5x=100

x=20

Answer:

x = 20 degrees

Step-by-step explanation:

For this problem, it is important to know that the measure of a line is 180 degrees.  With this in mind, let's build an equation:

3x + 80 + 2x = 180

Now that we have this equation, let's solve for x.

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

Hence, x is 20 degrees.

Cheers.

Answer:

The answer is D.

Step-by-step explanation:

When x=0, then y=300, so it has to be more than that.

When x=25, y=300, so it has to be less than that.

Answer:

Which of the following numbers is a composite number that is divisible by 3? A. 49 B. 103 C. 163 D. 261 Answer: B) 245

Step-by-step explanation:

Answer:

  (-3/70)a

Step-by-step explanation:

Solving for ?, we have ...

  70? +3a = 0 . . . . . subtract (7a +3)

  ? +(3/70)a = 0 . . . . divide by 70

  ? = -(3/70)a . . . . . . subtract 3/70a

The missing factor is (-3/70)a.

Answer:

u have to multiply these.

it's too easy .

see I will tell you the answer.

-2x²-6x-(x²-2x+x-2)

Now the signs of the underlined terms will change because negative sign is outside it.

-2x²-6x-x²+ 2x-x + 2

Now we have to solve it simply

-2x²-x²-6x+ 2x-x + 2

-3x²-5x+2

so here is ur answer.

for Indians it is soo simple question bro

I am Indian

if u need any help plz let me know.

Apply the rule x^m/n = nsqrt(x^m)

(2) ^x/12 = 12sqrt(2^x)

The answer is the 3rd choice

Answer:

1:2

Step-by-step explanation:

The area of ΔFED must be 1/4th of the entire area and so must the area of ΔBCD because B and F are the midpoints. Therefore, the area of ABDF is 1 - 1/4 - 1/4 = 1/2 of ACDE's are so the ratio is 1:2.

Answer:

SOLUTION SET ={a/a≥20}

Step-by-step explanation:

[tex]\frac{2a}{5}-2\geq\frac{a}{4}+1[/tex]

[tex]adding 2 on both sides[/tex]

[tex]\frac{2a}{5}-2+2\geq \frac{a}{4}+1+2[/tex]

[tex]now subtracting \frac{a}{4} on both sides[/tex]

[tex]\frac{2a}{5}-\frac{a}{4}\geq 3[/tex]

[tex]takig LCM as 20\\\frac{8a}{20}-\frac{5a}{20}\geq 3[/tex]

[tex]\frac{3a}{20}\geq 3[/tex]

[tex]by cross-multiplication[/tex]

3a≥3×20

3a≥60

dividing 3 on both sides

3a/3≥60/3

a≥20

SOLUTION SET ={a/a≥20} is the answer

i hope this will help you :)

Answer:

1/5

Step-by-step explanation:

The stick has a length of 5 units

The stick is broken at two points chosen at random

First break: the probability that you get a piece that is 1 unit or longer than 1 units= 1/5.

Second break, the probability that you get a piece that is 1 unit or longer than 1 units is 1/5.

Therefore,

The total probability =probability of first break * probability of second break * original stick unit

=1/5 * 1/5 * 5

= 1/25 *5

=5/25

=1/5

Answer:

TW = 3.2 yd

Step-by-step explanation:

In the picture attached,

Triangle TWV has been given with angle W = 90°

By applying Sine rule in the given right triangle,

Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)

SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]

Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]

TW = 6.Sin(32)°

TW = 3.1795

TW = 3.2 yd

Therefore, measure of the side TW = 3.2 yd.

Answer:

y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Step-by-step explanation:

When the slope of a line is less than 1 (if the slope is a decimal), the slope will not be steep. But when the slope is more than 1, the slope will be steeper than the average.

According to that rule, the steepest will be y = 15x + 5.

The next steepest equations will be y = x and y = x + 100 (they are both at the same degree of steepness; the intercept does not impact the steepness of the line).

The least steepest will bey = 0.15x - 1.

So, the order, from least steep to most steep, will be y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Hope this helps!

TSA OF CONE = πr ( l + r )

= 22/7 * 6/2 cm ( 5 cm + 6/2 cm )

= 22/7 * 3 cm ( 5 cm + 3 cm )

= 22/7 * 3 cm * 8 cm

= 528/7 cm²

Answer:  [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer:

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]

Subtract [tex]\frac{b}{2a}[/tex] from both sides.

[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]

[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

This is a quadratic formula.

Answer:

B.

Step-by-step explanation:

We know that

Line FG is 7.0 meters

Angle G is 90 degrees

Angle G is 25 degrees

All of the angles of a triangle add up to 180 degrees

We need to find the angle of F

90+25+f=180

115+f=180

f=65 degrees

Now we have narrowed our answers down to A, B, and D

Next we need to find the measure of line GH

For this we will need to use one of the three, Sin, Cos, Tan.

We will be using Tan because we have our variable adjacent to our angle and our number 7 opposite of our angle.

We are looking for the measure of GH

Tan60=7/x

x=3.3

Answer:

Step-by-step explanation:

The < symbol does not include the "or equal to" case, so will be graphed with an open circle at the boundary. x < 4 means that values of x less than 4 will be shaded, and there will be an open circle at x=4. Graph B shows this.

__

4 ≤ x means there will be a solid dot at x=4, and values of x greater than 4 will be shaded. Graph A shows this.

Answer: B & A

Step-by-step explanation:

Answer:

XYZ = 21.8

Step-by-step explanation:

the missing angle is XYZ

using a calculator:

so XYZ = 21.8

Answer:

541.67m²

Step-by-step explanation:

Step 1

We find the third angle

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (63 + 50)°

= 180° - 113°

Angle V = 67°

Step 2

Find the sides x and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle VWX

v/ sin V = w/ sin W = x / sin X

We have the following values

Angle X = 50°

Angle W = 63°

Angle V = 67°

We are given side w = 37m

Finding side v

v/ sin V = w/ sin W

v/ sin 67 = 37/sin 63

Cross Multiply

sin 67 × 37 = v × sin 63

v = sin 67 × 37/sin 63

v = 38.22495m

Finding side x

x / sin X= w/ sin W

x/ sin 50 = 37/sin 63

Cross Multiply

sin 50 × 37 = v × sin 63

x = sin 50 × 37/sin 63

x = 31.81082m

To find the area of triangle VWX

We use heron formula

= √s(s - v) (s - w) (s - x)

Where S = v + w + x/ 2

s = (38.22 + 37 + 31.81)/2

s = 53.515

Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)

Area of the triangle = √293402.209

Area of the triangle = 541.66614164081m²

Approximately to the nearest tenth = 541.67m²

Answer:

M(2, −4), N(−2, 4)

Step-by-step explanation:

Transformation is the movement of a point from one place to another. If an object is transformed, all the points of the object are being changed. There are different types of transformation which are: Reflection, rotation, translation  and dilation.

Reflection of a point is the flipping of a point. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y). If a point B(x, y) is reflected across the y axis, the new point is A'(-x, y).

The coordinates of point L on a coordinate grid are (−2, −4), if Point L is reflected across the y-axis to obtain point M, the coordinates of M is at (2, -4).

if Point L is reflected across the x-axis to obtain point N, the coordinates of N is at (-2, 4).

Answer: M(2, −4), N(−2, 4) So D can i get branliest

Step-by-step explanation: