3. What is the value of k whena. 2b. -14c. -10d. 14e. 10x² - x + 24= x - 2?x - 12TEXT=PL-=

The value of 'd' will be;

⇒ d = 12

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A line has a slope of 9 and includes points (9, d) and (8, 3).

Now,

We know that,

Slope of line (m) = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (3 - d) / (8 - 9)

⇒ 9 = (3 - d) / (-1)

⇒ - 9 = 3 - d

⇒ d = 3 + 9

⇒ d = 12

Thus, The value of 'd' will be;

⇒ d = 12

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer: 27.50

Step-by-step explanation:

Start by putting the inequality in the form

in this case c wil be how much he has sold, and d will be how much he needs to sell, and a is the price for the bar.

it would look like this

solve it like a regular equation

He will have to sell over 54 bars to win the prize.

Answer:

66

Step-by-step explanation:

The ratio of guinea pigs to the total number of animals is 5:11.

So, there are (30)(11/5)=66 animals in all.

Answer:

$400

Step-by-step explanation:

For the first 12 months, he saved

3200/12

= $266.7 each month

In another 12 months,

= $3,200 + x = $8000

(Use x as the unknown total money)

= 8000 - 3200

= 4,800

So, in another 12 months, his total savings will be $4,800

For each month,

= 4,800/12

= $400

The explicit formula of the sequence is aₙ = 8(1/2)ⁿ

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

8, 4, 2

In the above sequence, we can see that the previous term is divided by 2 get the current term

using the above as a guide,

so, we have the following representation

aₙ = aₙ₋₁/2

When represented explicitly, we have

aₙ = a * rⁿ

So, we have

aₙ = 8 * (1/2)ⁿ

Evaluate the products

aₙ = 8(1/2)ⁿ

Hence, the explicit formula is aₙ = 8(1/2)ⁿ

Read more about sequence at

https://brainly.com/question/7882626

#SPJ1

Answer:

please help I need thos answer too

Step-by-step explanation:

I wish I knew the answer to this I have 20 mins to be dont and I've already spend 10 on this question

Answer:

She saves £6.30

Step-by-step explanation:

You multiply 63 by 1/10 to get 6.30 this is how much she saves

Answer:

Check the pic i attached

we will have to follow given below steps if we want to plot this inequality x is less than or equal to 2.6.

A linear inequality is formed by any two real numbers or any two algebraic expressions marked by the symbols "," ">," "," or "." Ones of numerical inequality include 911 and 18>17, while algebraic examples include x+7>y, y10-x, and x y > 11

One of the inequality symbols is present in a linear inequality:. It displays non-equal data in graph style. With the inequality sign in place of the equality sign, a linear inequality appears exactly like a linear equation.

The values of x that satisfy the inequality must be determined before we may graph the inequality x = 2.6 on a number line. This can be done by changing x to a variety of values and observing which ones cause the inequality to hold true. When x is less than or equal to 2.6, we know that the inequality x = 2.6 is true. This means that the inequality will be satisfied for any value of x that is lower than or equal to 2.6. This has a range of inclusive values from -infinity to 2.6. We can use a dotted line spanning from negative infinity to 2.6 to graph the inequality on a number line. We would insert a dot for each number between negative infinity and 2.6, including 2.6 itself, since the dots on the line denote the numbers in the range. The dots on the line represent the integers in the range, which spans from negative infinity to 2.6. (i.e., all numbers less than or equal to 2.6). The open circle at 3 shows that the number is outside of the range, while the solid point at 2.6 indicates that the number is within the range.

To learn more about linear inequalities visit:

https://brainly.com/question/19526736

#SPJ1

When -2 is multiplied by (-6) the result is 12

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication.

Multiply in mathematics refers to the continual addition of sets of identical size.

When negative signs multiply each other the result is a positive sign also when positive signs multiply each other the result is a positive sign

However, when the signs are not same the result is always negative

In the given problem, the signs are same like negative 2 and negative 6

hence the result is a positive sign

and the quantity 2 multiply the quantity 6 gives 12

therefore -2 * -6 = 12

Learn more about multiplication here:

https://brainly.com/question/28768606

#SPJ1

22. the coordinates are:

So to know if the are parallel or perpendicular we have to calculate the slopes so:

For QR

For ST

So they are not parallel or perpendicular.

23. the coordinates are:

Now the slopes are

For QR

This is undefine so is a vertival line

for ST:

Is undefine so is also a vertical line, this means that they are parallel

Answer: p is greater than or equal to 8

Step-by-step explanation:

To isolate the variable (p) you divide both sides of the equation by 6 to get p by itself and the answer comes out clean because 48 is a multiple of 6.

Answer:

Divide both sides by the same factor

6p > 48

6p > 48

---     ---

6  >   6

result

p > 8

y=-x-4 (a)

y=3x (b)

Put (b) into (a) and solve for x:

3x=-x-4

3x+x = -4

4x= -4

Divide both sides by 4

4x/4 = -4/4

x= -1

Replace the value of x on any equation:

y=3x = 3(-1) = -3

Solution : (-1,-3)

Graph:

Answer: The answer is G 5p²-3q+17

Step-by-step explanation:

Answer: 800 students

If there are 40 students who participated and that's 5% of the entire school. 100% of the entire school would be 800.

The formula for calculating the midpoint of a line segment is given below

Where the values are

By substituting the values, we will have

By comparing coefficient, we will have

Cross multiply to get the values of x2

Cross multiply to get the values of y2

Hence,

The coordinate of the other endpoint is ( 5, -7 )

The missing step is XW/UT=VW/XV because corresponding side of similar triangle are proportional.

What is similar triangle?

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

When two triangles are similar, then their corresponding angles would be congruent while their opposite sides will be proportional to each other

In the proof, it is given, Both triangle are similar, by AA similarity theorem, hence, XW/UT=VW/XV because corresponding side of similar triangle are proportional.

To know more about similar triangle, visit:

https://brainly.com/question/28091700

#SPJ1

Answer:

[tex]2.44 \times 10^6[/tex]

Step-by-step explanation:

[tex]R=\frac{(3.8 \times 10^5)^2}{5.9 \times 10^4} \\ \\ =\frac{14.44 \times 10^{10}}{5.9 \times 10^4} \\ \\ \approx 2.44 \times 10^6[/tex]

Answer:

I hope it helps .The final answer is 2,447 × 10 to the power of 3

Given data:

1. The mean rain intensity

2. The median rain intensity,

3. The rain intensity mode (intensity with the highest frequency)

Therefore,

The mean : 3.7

The median : 4

The mode: 6

The 2 equations which can be used to solve the given situations of the numbers are:

So, the equations that can be formed are:

Let, Ronan's number be 'x' and '4x' be Kelsey's number.

Now, solve as follows:

Ronan's number be: -2/3

Kelsey's number be: 4 × 2/3 = -8/3

Let, let, Kelsey's number be 'x' and Ronan's number be '3x'.

Now, solve as follows:

Ronan's number be: 72.75

Kelsey's number be: 24.25

Therefore, the 2 equations which can be used to solve the given situations of the numbers are:

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

Solution:

Given:

A coefficient is a number multiplied by a variable.

Hence,

Therefore, the coefficient is 2.

The missing number in those three card are 5 and 2 when the median is 4 and the range is 3.

Median:

Median refers the middle value of the given set of numbers.

Given,

i have three number cards. the median is 4.

Here we need to find the missing number when the range is 3.

Let us consider x and y be the missing number.

We know that, the range is difference of smallest and largest number,

So, we can write it as,

x - y = 3

Now, we know that the median is the middle value

Then it can be written as,

y, 4, x

The smallest possible values of y is 1, 2, and 3

Similarly, the possible values of x is 5, 6, 7

But based on the value of range we have only take the values, 5 and 2.

Because that one is satisfies the condition of range.

Therefore, the missing numbers are 5 and 2.

To know more about Median here.

https://brainly.com/question/28060453

#SPJ1

Statement 3:

Reason: Law of cosines

Statement 4:

Reason: Law of cosines

Proof

We have the following situation:

Because the law of cosines,

Therefore,

Answer:

Step-by-step explanation:

When moving in opposite directions from the same point the speeds add up.

Total speed:

Distance is 300 km, find the time.

Answer:

Time = 3 hours

Step-by-step explanation:

The total speed is,

→ 40 km/h + 60 km/h

→ 100 km/h

Formula we use,

→ v = d/t

Then the time taken will be,

→ v = d/t

→ 100 = 300/t

→ 100 × t = 300

→ t = 300/100

→ [ t = 3 ]

Hence, answer is 3 hours.

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

We know that the lemonade recipe is:

1 cup of lemon juice and 4 cups of water.

This gives us a total of:

1 cup + 4 cups =  5 cups of lemonade.

Then if we want 10 cups of lemonade, we just need to use the double of each one of the ingredients.

this is:

2*(1 cup) = 2 cups of lemon juice

2*(4 cups) = 8 cups of water.

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

If you want to learn more about multiplication, you can read:

brainly.com/question/19777343

#SPJ1

We can start with the equation of the parabola in vertex form, as we know the coordinates of the vector:

The vertex is (h,k) = (-5,2), so we get:

We can use another known point, as (-6,4) to calculate the parameter a:

Now that we have no more unknown parameters, we can expland the equation to the standard form:

The equation is y=2x^2+20x+52.

If 150 is the 15%, to find which number is the 100% we use the rule of 3

and the rule say that:

Answer:

The answer is B