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serg [7]
3 years ago
13

Select the graph of the solution set that would represent the following expression. | x | > 5

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

It would be the first graph because |x| >5 is solved in two cases

The first case you keep everything the same, just get rid of the absolute value bars

x>5

The second case, you need to switch the sign and make the 5 negative

x<-5

When graphing you want to put an open circle on -5, and 5 because when it is < or > you have an open circle,

You then point the arrows going which ever way your sign is going, this is why the -5 is going to the left because the < sign is pointing left, and same with the 5, the arrow is going right because the > sign is pointing right

Hope this helps ;)

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The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, wh
Helga [31]

Answer:

700

Step-by-step explanation:

multiple 175 × 4 to get to 100%

6 0
3 years ago
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Please help and give explanation
Firlakuza [10]

Answer:

100 mins

Step-by-step explanation:

total no of gallons pool can hold=4500

gallons pool already holds=1500

rate of adding water= 30 gallons per min

time he can continue filing= 4500-1500/30

=3000/30

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8 0
3 years ago
For questions 1 and 2, use factoring to find the x-intercepts of these quadratic equations.
Marysya12 [62]
1.x^2 +6x - 4 = 6x
X^2 + 6x -4 - 6x = 0
X^2 - 4 = 0
By difference of two squares :
X^2 - 4 = 0 can be written as (x-2) (x+2) = 0
(X-2)=0 therefore x= 2

(X+2)=0 therefore x= -2

2. X^2 - 8x = -6x
X^2 -8x + 6x = 0
X^2 - 2x = 0
X(X-2) = 0
X= 0, X= 2
6 0
3 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
carly and rob combined their dvd collections. now they have 42 dvds in all carly had 4 more dvds than rob. how many dvds did car
mrs_skeptik [129]
So r+c=42 c=4+r subsitute c=4+r for r in r+c=42 r+4+r=42 add like terms 2r+4=42 subtract 4 from both sides 2r=38 divide both sides by 2 r=19 rob=19 subsitute r=19 for r in c=4+r c=19+4 carly=23
5 0
3 years ago
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