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hammer [34]
3 years ago
8

Solve

Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0

Answer:

1) x=-0.5 and x=-3.41

2) 12x^2

Step-by-step explanation:

a) 7-x^2=4x-5

7-x^2-4x+5=0

-x^2-4x-2=0

Multiply by -1

x^2+4x+2=0

Solve using quadratic formula $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

we have a=1, b=4, c=2

Putting values to find x

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(4)\pm\sqrt{(4)^2-4(1)(2)}}{2(1)}\\x=\frac{-4\pm\sqrt{16-8}}{2}\\x=\frac{-4\pm\sqrt{8}}{2}\\x=\frac{-4+\sqrt{8}}{2} \ and \ x=\frac{-4-\sqrt{8}}{2}\\x=-0.5 \ and \ x=-3.41

So, x=-0.5 and x=-3.41

b) Simplify

3x(x+6)-3x(6-3x)

3x(x+6)-3x(6-3x)\\=3x^2+18x-18x+9x^2\\=3x^2+9x^2\\=12x^2

jonny [76]3 years ago
3 0

Answer:

x=5/4 + 5b/4

b= -1+ 4x/5

The other one is 12x^2

Step-by-step explanation:

i asked my online computer tutoring app thingy

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Read the information in the box below.
maks197457 [2]

Answer:

4 inches

Step-by-step explanation:

Given that :

Amount of Rainfall in October = 14 inches

Amount of Rainfall in October = 3 1/2 times more than Rainfall during September

How much rain fell.during September :

The problem is a division problem ;

Since the amount of Rainfall in October is greater, then obtaining the amount of Rainfall in September requires dividing The amount of Rainfall in October by the number of times it is more than the September rainfall;

If multiplication is applied, then tbe value obtained will be greater than 14 inches. Which makes no sense since, the Rainfall in October is much greater than that in September.

14 inches ÷ 3 1/2

14 ÷ 7/2

14 * 2 / 7

= 28 / 7

= 4 inches

Hence, the amount of Rainfall in September is 4 inches

3 0
3 years ago
Read 2 more answers
Ignore the stuff around it ,could someone explain me this?
Ierofanga [76]

Answer:

The lines blue and green are perpendicular

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope of the blue line

we have the points

(-1,-3) and (0,3)

substitute

m=\frac{3+3}{0+1}

m=\frac{6}{1}=6

step 2

Find the slope of the red line

we have the points

(3,-3) and (4,2)

substitute

m=\frac{2+3}{4-3}

m=\frac{5}{1}=5

step 3

Find the slope of the green line

we have the points

(-4,-1) and (2,-2)

substitute

m=\frac{-2+1}{2+4}

m=-\frac{1}{6}

step 4

Compare the slopes

Blue line ----> m=6

Red line ----. m=5

Green line ---> m=-\frac{1}{6}

so

The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)

therefore

The lines blue and green are perpendicular

7 0
4 years ago
A group of hikers are 675 ft from the base of Guadalupe Peak, which is 8,749 ft tall. What is the angle of elevation when they l
amid [387]
Tan x = 8749/675
x= arctan (8749/675)                            arctan = tan^-1
x=85.59 degrees

6 0
3 years ago
(3,6) (3,7) (-2,-5) (-9,11) is it a function a relation, or both
amid [387]

It is a relation but not a function

Step-by-step explanation:

Given

(3,6) (3,7) (-2,-5) (-9,11)

First of all we have to define both terms: Relation and Function

A relation is a set of ordered pairs containing one element from each set

A relation can be a function only if there is no repetition in domain i.e. no first element in each ordered pair should be repeated.

In the given set of ordered pairs, they are relation as all the ordered pairs have two values.

While the given relation is not a function, as there is repetition in first elements of two ordered pairs i.e. 3 is repeated in (3,6) (3,7)

Hence,

It is a relation but not a function

Keywords: Functions, Relations

Learn more about functions at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

6 0
4 years ago
What is the unit rate of 12 gallons of water in 5 mins
klasskru [66]
(12 gallons)/(5 minutes<span>) = (2.4 </span>gallons<span>)/(1 minute)
So it'd be 2.4 gallons a minute.

Have a nice day! :D</span>
8 0
3 years ago
Read 2 more answers
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