What two numbers multiply to 7 and add up to -6?

Answer:

1. 3+16-2k=3k-1 (distributive property)

2.  -2k+19=3k-1 (like terms)

3. -2k+20=3k (added 1 on both sides, addition property)

4. 20=5k (added 2k on both sides, also addition property)

5. 4=k (divided 5 on both sides, division property)

So;

k=4

Answer:

k = 4

Step-by-step explanation:

\(3 + 2(8 - k) = 3k - 1\)

➡️ \(3 + 16 - 2k = 3k - 1\)

➡️ \(19 - 2k = 3k - 1\)

➡️ \( - 2k - 3k = - 1 - 19\)

➡️ \( - 5k = - 20\)

➡️ \(k = 4\) ✅

Answer:

standard to vertex form : s*v

In a regular algebra class, completing the square is a very useful tool or method to convert the quadratic equation of the form \(y = a {x^2} + bx + c y = ax2 + bx + c\) also known as the “standard form”, into the form \(y = a [ (x - h)^2] + k y = a(x - h)2 + k\) which is known as the vertex form.

The graph is a downward-opening parabola opening downward with its vertex at (2,0). Therefore, the correct option is C.

The equation y = -16t^2 + 64t + 16 represents the path of a projectile launched from a 16-ft-tall tower. To determine the correct graph, we can analyze the equation. The coefficient of t^2 (-16) is negative, indicating a downward-opening parabola. The coefficient of t (64) determines the horizontal shift of the graph, and in this case, t = 4 represents the maximum height of the projectile. The constant term (16) represents the initial height of the tower.

Considering these factors, we find that the correct graph of the equation is option C. It depicts a downward-opening parabola with its vertex at (2,0). The parabola starts at an initial height of 16 ft (the tower's height) and descends symmetrically from its vertex.

To learn more about “parabola” refer to the https://brainly.com/question/4061870

#SPJ11

Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

Learn more about investment

https://brainly.com/question/14921083

#SPJ11

Answer:

The slope is 4.

Step-by-step explanation:

y=mx+b says that m is the slope and b is the y intercept. So this means slope=4 and int = 8.

Answer: 4

Step-by-step explanation:

        This question is given to us in slope-intercept form. This is written as y = mx + b. The slope is the m variable, y = mx + b.

        Using the equation given, the slope is;

                 y = 4x + 8 ➜ m = 4

Answer:

The answer is -64

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = 3 and n = - 1

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

Learn more about area at

https://brainly.com/question/2607596

#SPJ1

On solving the provided question, we can say that equation for the question will be  (n - 1) x 3/4

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

equation for the question will be

(n - 1) x 3/4

Value of the computer

at time 0 = $800

at time 1 = $800 x (3/4) x 1 = $600

at time 2 = $600 x 3/4  = $450

Value of the computer at time 3 = $450 x 3/4 = $337.50

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The true or false statements based on the graph on the lengths of ribbons are:

The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.

The sum of the longest and shortest lengths is:

= 11¹/₄ + 9⁷/₈

= 21⁹/₈

The sum is therefore not 20¹/₈.

The difference between the longest and shortest lengths is:

= 11¹/₄ - 9⁷/₈

= 1³/₈

This is not 2 ¹/₈

Find out more on interpreting graphs at https://brainly.com/question/1638242

#SPJ4

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

To know more about  equations   visit

https://brainly.com/question/14686792

#SPJ11

y = (-11/55)x + 11  is the linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb.

To write a linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb, we need to use the slope-intercept form of a linear equation: y = mx + b.

We know that the ramp is 11 inches off the ground at the curb, which means that the y-intercept (where the ramp meets the curb) is 11 inches:

y = mx + 11

To find the slope (m), we need to use the information that the other end of the ramp rests on the street 55 inches from the curb. We can use the formula for slope:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) are the coordinates of the curb (0, 11) and (x2, y2) are the coordinates of the other end of the ramp (55, 0).

m = (0 - 11) / (55 - 0) = -11/55

Now we can substitute the slope and the y-intercept into the equation:

y = (-11/55)x + 11

To learn more about linear equation, refer here:

https://brainly.com/question/29739212#

#SPJ11

The probability of choosing a red marble, then a white marble is 5/36

From the question, we have the following parameters that can be used in our computation:

A bag contains 4 white, 3 blue, and 5 red marbles

If the marbles were replaced, then we have

P(Red) = 5/12

P(White) = 4/12

So, we have

The probability of choosing a red marble, then a white marble  is

P = 5/12 * 4/12

Evaluate

P = 5/36

Hence, the probability of choosing a red marble, then a white marble is 5/36

Read mroe about probability at

https://brainly.com/question/24756209

#SPJ1

A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

learn more about charge and power: https://brainly.com/question/874116

#SPJ4

The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.

The married couples are 1.26 times more likely to have children than those who are not married.

The general gamble is a proportion of the relationship between two factors, and is determined as the proportion of the gamble of an occasion in one gathering contrasted with the gamble in another gathering. For this situation, the occasion of interest is having kids, and the gatherings are hitched and not wedded.

To ascertain the relative gamble, we first need to work out the gamble of having kids for each gathering.

For the wedded gathering, the gamble of having kids is 9768/13213 = 0.7398 or 73.98%.

For the not wedded gathering, the gamble of having kids is 8165/13927 = 0.5868 or 58.68%.

The general gamble is the proportion of these two dangers:

Relative gamble = risk in wedded gathering/risk in not wedded gathering

= 0.7398/0.5868

= 1.2616

Adjusting to two decimal places, the general gamble of having kids for the people who are hitched is 1.26.

This proposes that wedded couples are 1.26 times bound to have youngsters than the people who are not hitched.

To learn more about ration and proportion, refer:

https://brainly.com/question/28152325

#SPJ4

Answer:

178.5mcg

Step-by-step explanation:

If you need 5000 per 125mcg, we can express it as;

5000 = 125mcg

To get the amount of mcg needed for 7140, we will say;

7140 = x mcg

Divide both expression

5000/7140 = 125/x

Cross multiply

5000x x= 7140 * 125

5000x = 892,500

x = 892,500/5000

x = 178.5

Hence the amount og mcg needed is 178.5mcg

Answer:

7x² - 26x + 9

Step-by-step explanation:

(g(x)²) = (3x - 2) (3x - 2)

(g(x)²) = 9x² - 6x - 6x + 4

(g(x)²) = 9x² - 12x + 4

(9x² - 12x + 4) - (2x² + 14x - 5) = 7x² - 26x + 9

Answer:

hbvjhhjgfbhfhghhjv5bjbhu6hjbhhi8jvhbkhbjgug7hbguf76

Answer:

square, nice square, thick square, thin square, mean square, angry square, sad square.

Step-by-step explanation:

Answer:

You could call a square a quadrilateral, a rectangle, or a parallelogram. There's so many names because it has TWO sets of parallels.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

X,Y,Z

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To know more about equations,

https://brainly.com/question/29797709

#SPJ4

The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

About system of equations here:

https://brainly.com/question/21620502

#SPJ11

Answer:

The answer is 131

Step-by-step explanation:

.Explanation

The question wants us to get the growth rate of the sum invested

To do this,

We have to use the general equation

The given equation is

To get the percentage growth rate, we will have to compare with the general formula

We will find out that

Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

For similar questions on entertainment

https://brainly.com/question/26767445

#SPJ8

the answer should be 2

Step-by-step explanation:

Hope this helped

Answer:

C 375 this your answer

Hope it will help

Answer:

B) 592

Step-by-step explanation:

483, 759, 264, 837,?

Erase commas.

483759264837

Separate into two-digit groups:

48, 37, 59, 26, 48, 37

There is a common pattern:

48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37

The next term:

37 + 22 = 59 (add 22)

59 - 33 = 26 (subtract 33)

5926

Answer:

A length=24ft, width=15ft

Step-by-step explanation:

the side AB have x values of 5 and the side with CD have x values of 10 so the width from b to d or a to c is 5 so the width of the drawing is 5cm

the bottom side AC has y values of 8 and the top side BD has y values of 16 so they are 8 apart so the length of the rectangular drawing is 8cm

then the scale says that 1 cm = 3 ft so multiply the length and width each by 3 to get the answer that the length of the sail is 24ft and the width is 15ft

Hope this helps! :)

Answer:

\(3x - 11\)

Step-by-step explanation:

Given

\(\frac{3x^2 + 4x + 5}{x + 5}\)

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

\(x + 5 = 0\)

\(x = -5\)

Substitute -5 for x in the numerator

\(3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5\)

\(3x^2 + 4x + 5 = 60\)

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

\(\frac{3x^2 + 4x + 5}{x + 5}\) becomes

\(\frac{3x^2 + 4x + 5 - 60}{x + 5}\)

\(\frac{3x^2 + 4x - 55}{x + 5}\)

Expand the numerator

\(\frac{3x^2 + 15x - 11x - 55}{x + 5}\)

Factorize:

\(\frac{3x(x + 5) - 11(x + 5)}{x + 5}\)

Factor out x + 5

\(\frac{(3x- 11)(x + 5)}{x + 5}\)

Cancel out x + 5

\(3x - 11\)

Hence, the quotient is \(3x - 11\)

The coordinates of the image of the point (-7, 5) are (7, -5).

We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.

Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.

X = x*cosθ - y*sinθ

X = (-7)*cos(180°) - (5)*sin(180°)

X = (-7)*(-1) - (5)*(0)

X = 7

Y = x*sinθ + y*cosθ

Y = (-7)*sin(180°) + (5)*cos(180°)

Y = (-7)*(0) + (5)*(-1)

Y = -5

To learn more about image of a point, visit :

https://brainly.com/question/28361327?referrer=searchResults

#SPJ1

Answer:

128561214

Step-by-step explanation:

Hope it helped you (5126789+123434425)=128561214