Solve equation 3x^2-4x=7 by completing square

Answer:

5 to 4

Step-by-step explanation:

when it's asking for a ratio it's basically division

chocolate/vanilla = 40/32 = 5/4

5/4 is the same as 5:4 or 5 to 4

Answer: 44.4

Step-by-step explanation:

We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.  

First, let use the ratio for sine [tex]\frac{opp}{hypo\\}[/tex] which equal to [tex]\frac{7}{10}[/tex]

then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. ([tex]sin^{-1}[/tex](7/10) which gives us 44.4

Answer:

w+7=-2

Step-by-step explanation:

Answer:

Susan should have 75¢ left.

Step-by-step explanation:

Taking away $5.00 from $10.00 makes $5.00. 5.00-2.50=2.50 and 2.50-1.75=.75

9514 1404 393

Answer:

  3 1/4

Step-by-step explanation:

  [tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]

Answer:

$13.95

Step-by-step explanation:

Total Amount to spend on gifts = $30

Number of gifts to purchase = 3

Amount spent on gift A = $9 1/4

Amount spent on gift B = $6 4/5

Amount left to spend on gift C:

Total amount - (gift A + gift B)

$30 - ($9 1/4 + 6 4/5)

$30 - (37/4 + 34/5)

$30 - (185 - 136) / 20

$30 - 321 / 20

30 - 16.05

$13.95

Answer:

$445.21

Step-by-step explanation:

Multiply 422 by .55. Add the answer of 422 times .55 to 422.

Answer:

$17.50

Step-by-step explanation:

If the shoes are discounted at 10%, the price would be 90% of the original price

Discounted price = 0.9 x 120 = 108

Tax increases the price of the good. so, the discounted price would increase by 8%

1.08 x 108 =116.64

If Jordan pays 15% as a down payment, he would pay :

0.15 x 116.64 = 17.496

Answer:

[tex](g\circ f)(-1)=36[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]

And we want to find:

[tex](g\circ f)(-1)[/tex]

This is equivalent to:

[tex]=g(f(-1))[/tex]

So, evaluating f(-1) first, we acquire:

[tex]f(-1)=-(-1)+5=6[/tex]

Then by substitution:

[tex]=g(6)[/tex]

So:

[tex]=(6)^2=36[/tex]

Therefore:

[tex](g\circ f)(-1)=36[/tex]

Your answer is indeed correct.

Answer:

please refer to the above attachment.

Answer:

-4+3x/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

W = 1.5t + 10

slope = 1.5

Every month, the baby gains 1.5 pounds.

Answer:2/10, 3/15, 4/20,

Step-by-step explanation:

Answer:

2/10,3/15,4/20

Step-by-step explanation:

i hope it was helpful

Answer:

He would need to work for 18 hours.

Step-by-step explanation:

115÷5=23 (dollars)

414÷23=18 (hours)

Answer:

18 hours because Juan makes $23 an hours and if you divide the $414 by 23 you get 18 so he needs to work 18 hours to get $414

Step-by-step explanation:

Answer:

I am pretty sure its the first one

I would say the bottom right graph (D) best fits the data because it passes through the most points possible on the graph.

Answer:

9.42

Step-by-step explanation:

Answer:

[tex]y = -3x[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (2,-6)[/tex]

[tex](x_3,y_3) = (-4,12)[/tex]

The equation can then be solved using linear interpolation as follows:

[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]

This gives:

[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]

[tex]\frac{y-12}{x+4} = -3[/tex]

Multiply both sides by x + 4

[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]

[tex]y - 12 = -3 *(x + 4)[/tex]

Open bracket

[tex]y - 12 = -3x -12[/tex]

Add 12 to both sides

[tex]y - 12+12 = -3x -12+12[/tex]

[tex]y = -3x[/tex]

Answer:

Domain: (-7, 4]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:

Interval Notation: (-7, 4]

Inequality Notation: -7 < x ≤ 4

Answer: Yes.

Step-by-step explanation:

Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.

In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:

= 180° - (98° + 35°)

= 180° - 133°

= 47°

Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:

= 180° - (35° + 47°)

= 180° - 82°

= 98°

The triangle is congruent as they all have same angles

Answer:

yes because of ASA or AAS

Step-by-step explanation

got it right

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Step-by-step explanation:

Answer:

54

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

Answer:

Mathematical domain is all numbers, as all numbers can be multiplied by 4. However, this is not reasonable as negative lengths don't exist, so the reasonable domain would be all positive numbers.

Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12

20 x 12 is 140

Answer:

12

Step-by-step explanation

Complete Question

We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

Answer:

a) 0.85 euros

b) 1.18 dollars

Step-by-step explanation:

The equation is given as:

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

E = 17/20D

D = 1 dollar

Hence:

E = 17/20 × 1

E = 0.85 euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

E = 17/20D

E = 1 euro

1 = 17/20D

D = 1 ÷ 17/20

D = 1 × 20/17

D = 1.1764705882 dollars

D = 1.18 dollars

Answer: 12

Step-by-step explanation:

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Arrange equation variable for elimination

[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]

so

[tex]y+3x=-5[/tex]

[tex]-[/tex]

[tex]\underline{y-4x=9}[/tex]

[tex]7x=-14[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]

Solve 7x = -14 for x

[tex]7x=-14[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]

Simplify

[tex]x = -2[/tex]

For y - 4x = 9 plug in x = 2

[tex]y-4\left(-2\right)=9[/tex]

[tex]y+4\cdot \:2=9[/tex]

[tex]y+8=9[/tex]

Subtract 8 from both sides

[tex]y+8-8=9-8[/tex]

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Answer:

[tex]x^4+x^2-12[/tex]

Step-by-step explanation:

We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:

[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]

Expanding this, we get:

[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].

Answer:

the answer is 1 and 1 fourth