What is the slope of the line in the graph?

Answer:

a. <

b. >

c. >

d.<

Step-by-step explanation:

6 1/4 is less than 6 2/3

-3 is greater than -4

-5 is greater than -5.2

-5 is lesson that -4.8

Answer:

B

Step-by-step explanation:

Given

4(2 + 5)² - 52

Evaluate the parenthesis

4 × 7² - 52 ← evaluate the exponent

4 × 49 - 52 ← evaluate the multiplication

= 196 - 52 ← evaluate the subtraction

= 144 → B

Answer: D 171

Step-by-step explanation:

[tex]\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-8)}}}\implies \cfrac{-9}{1+8}\implies \cfrac{-9}{9}\implies -1[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-8)}]\implies y-4=-(x+8) \\\\\\ y-4=-x-8\implies y=-x-4[/tex]

Answer:

3.

Step-by-step explanation:

-35x = -105

Divide both sides by -35:

x = -105/-35

= 3.

The solution to the equation is x = 3.

Two or more expressions with an equal sign are defined as an equation.

The given equation is -35x = -105.

Solve the equation as follows:

-35x = -105

35x = 105

x = 105/35

x = 3

Hence, the solution to the equation is x = 3.

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Answer:

p = 1

Step-by-step explanation:

11p - 2p + 4 = 13

  9p + 4 = 13

        - 4     -4

     9p = 9

  9p/9 = p

    9/9 = 1

Answer:

p=1

Step-by-step explanation:

11×1=11

2×1=2

11-2=9

9+4=13

4 can be one too because its less than 9 and its a whole number

Hope it helps :)

Answer:

(5 , -18)

Hope this helps.

From your vro Que

Answer: [tex]\dfrac{-8}{5}[/tex]

Step-by-step explanation:

The slope of a line passing through points (a,b) and (m,n) is given by :-

[tex]\text{Slope}=\dfrac{n-b}{m-a}[/tex]

Given points : (-1,7) and (4,-1)

Then, the slope of the line passing through the points  (-1,7) and (4,-1) will be :-

[tex]\text{Slope}=\dfrac{-1-7}{4-(-1)}\\\\=\dfrac{-8}{4+1}\\\\=\dfrac{-8}{5}[/tex]

Hence, the required slope = [tex]\dfrac{-8}{5}[/tex]

Hey!

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Solution:

We can get two different ways of 1:6 by add +1:+6.

1 + 1 = 6 + 6

2:12

2 + 1 = 12 + 6

3:18

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Answer:

2:12 and 3:18

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Hope This Helped! Good Luck!

Answer:

7^9= 40,353,607

7*7*7*7*7*7*7*7*7=40,353,607

7^3 =343

7*7*7=343

The explicit formula for the geometric sequence 12, -36, 108, -324, ... is f(n) = 12 * (-3)^(n-1), where 'n' is the term number.

The series provided is a geometric series. In a geometric series, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio, denoted by 'r'. In our given series 12, -36, 108, -324, ..., you can determine that the common ratio (r) is -3. Now, using the formula for a geometric sequence given by f(n) = a * r^(n-1), where 'a' is the first term (12 in this case) and 'n' is the term number, we can write the explicit formula as

f(n) = 12 * (-3)^(n-1).

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The geometric series is represented by the explicit formula f(n) = 12 * (-3)^(n-1)

The given sequence is an example of a geometric progression where each term is found by multiplying the previous term by a constant ratio. In this case, the common ratio is -3.

The explicit formula for a geometric series is given by f(n) = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio. In this sequence, the first term (a) is 12 and the common ratio (r) is -3.

Plugging in the values into the formula, we can write the explicit formula for this geometric series as f(n) = 12 * (-3)^(n-1).

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Answer:

y = - 2x + 1

Step-by-step explanation:

Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2

Now with the slope what is missing is the y-intercept, the problem says that the line contains the point (-2, 5), replacing that point in the equation you can solve it to find the y-intercept

y = mx + b

5 = (-2)(-2) + b

5 = 4 + b

1 + b

y = - 2x +1

Answer:

"They are supplementary" ⇒ last answer

Step-by-step explanation:

* Look to the attached figure

- Two parallel horizontal lines are intersected by a third line

- The angles formed form intersection are labeled on the figure

- From the two parallel lines and  

 ∠5 ≅ ∠1 ⇒ corresponding angles

 m∠5 = m∠1

- A linear pair is two angles that are adjacent and form a line and

 they are supplementary

 ∠1 and ∠3 form a line

 ∠1 and ∠3 are linear pair

* lets prove that ∠3 and ∠5 are supplementary

∵ m∠1 = m∠5 ⇒ corresponding angles

∵ ∠1 and ∠3 form a linear pair

∵ Linear pair are supplementary

∴ m∠1 + m∠3 = 180°

- By substitute ∠1 by ∠5

∴ m∠5 + m∠3 = 180

∴ ∠5 and ∠3 are supplementary

* The true statement is "They are supplementary"

Angles 3 and 5 are congruent because they are alternate interior angles formed by a transversal intersecting two parallel lines. This is supported by the Alternate Interior Angles Theorem.

To determine the relationship between angles 3 and 5 when two parallel lines are intersected by a transversal, we can use the properties of alternate interior angles.

Angles 3 and 5 in this setup are also alternate interior angles, and by the same theorem, they are congruent.

This leads us to the conclusion that:

Angles 3 and 5 are congruent.

Answer:

d) 6 ≥ n + 4

Step-by-step explanation:

Let n be the unknown number,

4 more than n = 4 + n

In inequality we use '≥' to represent greater than equal to or at least,

Thus,

Six is at least four more than a number.

⇒ 6 ≥ 4 more than n

⇒ 6  ≥ 4 + n

Which is the required inequality that represents the given statement,

OPTION d) is correct.

Answer:

b)   6 ≥ n + 4

Step-by-step explanation:

Answer:

y-intercept: [0, -2]; 0 = m

Step-by-step explanation:

Anything set to equal y is what is known as a zero rate of change [slope] because it is a horizontal line.

I am joyous to assist you anytime.

Answer:

Step-by-step explanation: is This what you want?

[tex]\bf \cfrac{~~\frac{3}{2}~~}{\frac{15}{4}}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix}2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{5}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{2}{5}[/tex]

To simplify the expression 3/2/(15/4), first convert the division of fractions to multiplication by the reciprocal, giving (3/2) * (4/15). Multiply the numerators and denominators and then reduce the fraction by dividing both by their greatest common divisor. The simplified result is 2/5.

To simplify the expression 3/2/(15/4), you would follow these steps:

Following these steps results in the original expression 3/2/(15/4) simplifying to 2/5.

Answer:

30/7n

Step-by-step explanation:

let n be the no.

seven times a no. is 7n

so ans is 30/7n

8.23 because of you add 0 after the 8.2 that will make it 8.20.

Hope it makes sense :)

Answer:

$35 + $0.25m is the equation

If you drove 250 miles, it would cost $97.50

Step-by-step explanation:

250 * 0.25 = 62.5

62.5 + 35 = 97.5

Answer:

5/3

Step-by-step explanation:

i added a picture that will help you solve it.

The solution to the equation[tex]\dfrac{3}{7}(x+3)+5=3x+2[/tex] when "x" is an unknown variable is  [tex]\dfrac{5}{3} .[/tex]

Two algebraic expressions separated by an equal symbol between them and with the same value are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

To solve the equation[tex]\dfrac{3}{7}(x+3)+5=3x+2[/tex] we can follow these steps:

Multiply \dfrac{3}{7} into the brackets or inside the parentheses

[tex][\dfrac{3}{7}x + \dfrac{3}{7}\times3] + 5 = 3x + 2[/tex]

[tex]\dfrac{3}{7}x +\dfrac {9}{7} + 5 = 3x + 2[/tex]

On solving we get,

[tex]\dfrac{3x+9}{7} = 3x +2-5[/tex]

[tex]\dfrac{3x+9}{7} = 3x -3[/tex]

On cross multiplication we get,

[tex]{3x+9} = 7(3x -3)[/tex]

Opening the parenthesis we get

[tex]{3x+9} = (21x -21)[/tex]

Taking the variables to one side and constants on the right side we get,

[tex]{9+21} = (21x -3x)[/tex]

On further solving we get,

30 = 18 x

Simplify and solve for x:

Divide both sides by 18, and we get

[tex]\dfrac{30}{18} = x[/tex]

Now, in standard form

[tex]\dfrac{5}{3} = x[/tex]

In decimals, we get 1.66666.

Therefore, the solution to the equation [tex]\dfrac{3}{7}(x+3)+5=3x+2[/tex] is [tex]\dfrac{5}{3}[/tex].

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Answer:

The table represents the start of the division of

Step-by-step explanation: instgram mack.thrasher

In the figure attached, the quick picture can be seen. See the second picture for clarification.

Another way to represent that number is in a table format, as:

Hundreds   tens   ones

      3             5         7

Finally, 3 hundreds 5 tens and 7 ones are equal to 300 + 50 + 7 = 357

Answer:

[tex]LJ=15\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side KJ

In the right triangle JKM

Applying the Pythagoras Theorem

[tex]KJ^{2}=JM^{2}+KM^{2}[/tex]

we have

[tex]JM=3\ units[/tex]

[tex]KM=6\ units[/tex]

substitute

[tex]KJ^{2}=3^{2}+6^{2}[/tex]

[tex]KJ^{2}=45}[/tex]

[tex]KJ=\sqrt{45}\ units[/tex]

simplify

[tex]KJ=3\sqrt{5}\ units[/tex]

step 2

Find the value of cosine of angle MJK in the right triangle JKM

[tex]cos(JKM)=JM/KJ[/tex]

substitute the values

[tex]cos(JKM)=\frac{3}{3\sqrt{5}}[/tex]

simplify

[tex]cos(JKM)=\frac{\sqrt{5}}{5}[/tex] -----> equation A

step 3

Find the value of cosine of angle MJK in the right triangle JKL

[tex]cos(JKM)=KJ/LJ[/tex]

we have

[tex]KJ=3\sqrt{5}\ units[/tex]

[tex]cos(JKM)=\frac{\sqrt{5}}{5}[/tex] ----> remember equation A

substitute the values

[tex]\frac{\sqrt{5}}{5}=\frac{3\sqrt{5}}{LJ}[/tex]

Simplify

[tex]LJ=5(3)=15\ units[/tex]

Answer:

The answer would be option C. 15 units :)

Step-by-step explanation:

Did it on edge :D

Hope this helps!

Answer:

42

Step-by-step explanation:

Difference is substitution, so a number (x) minus 12 equals 30

x-12=30

Add 12 to both sides

x=42

The problem statement is a Mathematics subtraction problem. It can be solved by setting up a simple equation n - 12 = 30, where 'n' is the unknown number. By solving the equation, we find n = 42.

The subject of the problem statement 'The difference of a number and 12 is 30' lies in the Mathematics field. When the problem says the 'difference of a number and 12 is 30', it means we are dealing with a subtraction expression. Here, we can write a simple equation to solve this. If we use 'n' to represent the unknown number, the equation will be: n - 12 = 30. To solve for n, we should add 12 to both sides of the equation to balance it. So, it will be n = 30 + 12, and hence n = 42. So, the number in the problem statement is 42.

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Answer: 6x^2+3x-6

Step-by-step explanation:

6+2x^2-3x=8x^2

-2x^2. -2x^2

6-3x=6x^2

= 6x^2+3x-6

Answer:

Step-by-step explanation:

√10 is irrational because a rational number is a number that is a/b where a and b are integers and b is a nonzero number.√10 does not follow this.

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer:

Step-by-step explanation:

x + y = 6

x-intercept is for y = 0. Substitute:

x + 0 = 6

x = 6

y-intercept is for x = 0. Substitute:

0 + y = 6

y = 6