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2 years ago

Eighth grade

Mathematics

1 answer:

Ymorist [56]2 years ago

7 0

Answer:

b = 1

Step-by-step explanation:

Given the equation is:

- 5b + 2b - (-b) + 7 = 5

We separate the terms of b and the constants. To do that we subtract 7 from both the sides. We get:

- 5b + 2b - (-b) + 7 - 7 = 5 - 7

⇒ - 5b + 2b - (-b) = - 2

Now, simplifying the terms with 'b'.

⇒ -5b + 2b + b = - 2

⇒ (-5 + 2 + 1)b = - 2

⇒ -2b = -2

Dividing both the sides by -2, we get:

b = 1 which is the required answer.

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Determine the slope of the line 5x + 3y + 12 = 0 .

vazorg [7]

Put ur equation in y = mx + b form because the slope will be in the m position.

5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4

y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===

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2 years ago

How many times can 6 go into 5920

USPshnik [31]

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2 years ago

Read 2 more answers

If the domain of f(n) = -4n - 3 is (-1, 1/4,4}, what is the range?

ahrayia [7]

Answer:

$Range= \{1,-4,-19\}$

Step-by-step explanation:

Given

$f(n) = -4n - 3$

$n = \{-1,1/4,4\}$ --- domain

Required

Determine the range

To do this, we simply substitute the values of n in the given expression

So, we have:

$n = -1$

$f(-1) = -4 * -1 - 3 =4 - 3 = 1$

$n = 1/4$

$f(-1) = -4 * 1/4 - 3 =-1 - 3 = -4$

$n=4$

$f(-1) = -4 * 4 - 3 =-16 - 3 = -19$

Hence, the range is:

$Range= \{1,-4,-19\}$

5 0

2 years ago

In ΔDEF, the measure of ∠F=90°, FD = 75 feet, and EF = 95 feet. Find the measure of ∠D to the nearest tenth of a degree. (Plz an

meriva

Answer:

51.7°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Tan = Opposite/Adjacent

tan(D) = EF/FD = 95/75

D = arctan(95/75)

∠D ≈ 51.7°

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3 years ago

X2 + 45x = -200 Using the quadratic formual and the discirimnat

dybincka [34]

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

$b^{2}-4ac$

Every quadratic formula has the structure:

$ax^{2} +bx+c=0$

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

$x^{2} +45x+200=0$

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

$(45)^{2} -4(1)(200)$

Solve:

$2025-800=1225$

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

$x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}$