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Nuetrik [128]
3 years ago
11

Solve the equation using square roots: 2x^2-17=15

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

x = 4  or  x = –4

Step-by-step explanation:

2x² – 17 = 15

Add 17 to both sides:

2x² = 32

Divide both sides by 2:

x² = 16

Take the square root:

√x² = √16

Simplify:

x = ±4

Therefore:

x = 4  or  x = –4

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4 1/3 b+b=6b–10.4 efvnabvkjaebv
scZoUnD [109]

Answer:  The value of b= 15.6

Step-by-step explanation:

The given equation:  4\dfrac{1}{3}b+b=6b-10.4

To find : Value of b.

Since, we can write 4\dfrac{1}{3}=\dfrac{13}{3}

So, the given equation becomes \dfrac{13}{3}b+b=6b-10.4

\Rightarrow\dfrac{13b+3b}{3}=6b-10.4\Rightarrow\dfrac{16b}{3}=6b-10.4

Subtract 6b from both sides , we get

\Rightarrow\dfrac{16b}{3}=6b-10.4\\\\\Rightarrow\dfrac{16b-18b}{3}=-10.4\\\\\Rightarrow\dfrac{-2b}{3}=-10.4\\\\\Rightarrow b=-10.4\times\dfrac{-3}{2}\\\\\Rightarrow\ b= 15.6

hence, the value of b= 15.6

3 0
3 years ago
8(x+1)-3(x+4)=7(2-x)
Reika [66]
For x you simplify both sides of the equation, then isolate the variable

X= 3/2
3 0
3 years ago
How to write 1 billion and 67.9 in expanded form
bogdanovich [222]
1,000,000,000+60+7+.9 :)
5 0
3 years ago
What is the range of the function graphed below?
Dmitriy789 [7]

Answer:

Negative 3 less-than y less-than-or-equal-to 3

Step-by-step explanation:

By looking at a coordinate plane, we can easily see the range

remember, a closed dot means includes , and an open dot means does not include

[closed dot]

(open dot)

the range is all possible y-values. so, all y values shown are

3               which it includes

to -3            which it excludes  / does not include

so, all y values are greater than -3 and less than or equal to 3

7 0
2 years ago
Which conditional statement has the same truth value as its converse
hodyreva [135]
In other words, you are looking for which one is the biconditional statement. 

A: This is true. Both the Conditional and Converse Statements are true. The Biconditional Statement would be this: The angles are bisected if and only if the angles have two congruent parts. This is true.

B: This is false. It is true as a conditional statement, but if you flip the p and q, it says that ALL acute angles are 60 degrees. This isn't true because a 35 degree angle or a 89 degree angle is also acute.

C: This is False. The conditional statement isn't true. The Converse statement is true but because the conditional statement is not then it is false. You can have two angles the aren't touching and they would be supplementary.

D:  This is False. The Conditional Statement is True but the converse is not. Not all congruent angles are vertical angles. You can have two angles that equal 90 degrees that form a line (supplementary) but they aren't vertical angles.

Therefore, your answer is A.


8 0
3 years ago
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