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geniusboy [140]
3 years ago
10

The equation of a line with a slope of 2 and a y-intercept of -4 is y = -4x + 2.

Mathematics
2 answers:
Bas_tet [7]3 years ago
5 0

Answer: false

Step-by-step explanation:

Nonamiya [84]3 years ago
5 0
False
The slope of the equation is -4 and the y intercept is 2. Use format y = mx + b
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A bowl of fruit is on the table. It contains 5 apples, 2 oranges, and 2 bananas. Christian and Aaron come home from school and r
Sholpan [36]

The probability that both grab oranges would be = \frac{1}{36}

Step-by-step explanation:

Given,

A bowl contains,

Apples = a = 5

Oranges = o = 2

bananas = b = 2

Total fruits in bowl = x = a + o + b = 5 + 2 + 2 = 9

Now, Christian and Aaron come home from school and randomly grab one fruit each.

The probability of first selecting orange would be = \frac{o}{b} = \frac{2}{9}

Now, the oranges left would be 2 - 1 = 1

and total fruits would be = 9 - 1 = 8

Hence, the probability of selecting second orange would be = \frac{1}{8}

Therefore, the probability that both grab oranges would be = \frac{1}{8} * \frac{2}{9} = \frac{1}{36}

7 0
3 years ago
"Solving Equations by Completing the Square: m^2+2m-48=-6
kvv77 [185]
m^2+2m-48=-6 \\ \\ m^2+2m-48+6=0\\ \\m^2+2m-42=0\\ \\a=1, \ b= 2, \ c= -42 \\ \\\Delta = b^{2}-4ac = 2^{2}-4*1*(-42)= 4+168 =172 \\\\\sqrt{\Delta }=\sqrt{172} =\sqrt{4*43}=2\sqrt{43}\\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-2-2\sqrt{43}}{2}=\frac{2(-1-\sqrt{43})}{2}= -1-\sqrt{43} \\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} = \frac{-2+2\sqrt{43}}{2}=\frac{ 2(-1+\sqrt{43})}{2}= -1+\sqrt{43}
5 0
2 years ago
Read 2 more answers
I'm doing simplifying expressions with exponents
VladimirAG [237]

Answer:

Expressing a number in a power of 2 means that you have to figure out how many times you should multiply 2 by itself so the product will be that number.

The number is expressed as 2^n

For example:

Express 16 as a power of 2:

To get 16, you have to multiply 2 by 4 times.

2 × 2 × 2 × 2 = 16

16 = 2^4

Then the answer is 2^4

7 0
2 years ago
The surface area of a cube that is 8 yards of width and length?
Umnica [9.8K]

Answer:

<h2>384 yd²</h2>

Step-by-step explanation:

The formula of a surface area of a cube:

SA = 6a^2

We have <em>a = 8 yd</em>.

Substitute:

SA=6(8^2)=6(64)=384\ yd^2

8 0
3 years ago
The sum of three consecutive integers is 114. what are the three integers?
RSB [31]

Answer: 37, 38, and 39

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.

3 consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.

X + X + 1 + X + 2 = 114

We can simplify on the left side by combining the X's and the numbers.

3x + 3 = 114

      -3     -3   ← <em>subtract 3 from both sides of the equation</em>

3x = 111

÷3    ÷3   ← <em>divide both sides of the equation by 3</em>

<em> </em>X = 37

X ⇒ <em>first integer   = 37</em>

X + 1 ⇒ <em>second integer   = 38</em>

X + 2 ⇒ <em>third integer   = 39</em>

<em />

<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>

5 0
3 years ago
Read 2 more answers
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