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Rus_ich [418]
3 years ago
12

Without calculating . How do you know |4x-7| =-1 has no solution

Mathematics
1 answer:
viktelen [127]3 years ago
7 0
Because the left side of the equation is an absolute value, making it impossible to = to -1.
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PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe
antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

x+y=y^2-5       ...(ii)

Put value of x from (i) in (ii)

\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

7 0
2 years ago
I need help please and thank you
STatiana [176]

Answer:

∠A = 45°

Step-by-step explanation:

The sum of angles in a triangle = 180°.

That means in the triangle ABC, ∠A + ∠B + ∠C = 180°.

Given ∠B = 90° and ∠C = 45°.

⇒ ∠A + 90° + 45° = 180°

⇒ ∠A = 180 - 90 - 45

⇒ ∠A = 45° is the required answer.

4 0
3 years ago
40 points | Sierra and Alek each have five cousins. Their ages are listed below.
faust18 [17]

Find the mean for both:

Sierra: 2 + 11 + 12 + 13 + 15 =  53

53/5 =10.6

Median is the middle value = 12

Alek: 9 + 11 + 11 + 12 + 13 = 56

56/5 = 11.2

Median = 11

A: The medians do not equal the mean.

B: Sierra's are more spread out, ( no identical ages and a greater range ).

C: Sierra's mean is less than Alek.

D. Sierra has an outlier (2).

The answer would be B

8 0
3 years ago
1. What is the greatest number that can be rounde<br>to the nearest thousands?​
Xelga [282]

Answer:

10000.

Step-by-step explanation:

i think.. i may be wrong.

4 0
3 years ago
A package of 30 scented pencils costs $24.90. At this rate, what is the
masya89 [10]

Answer:

.83 cents

Step-by-step explanation:

8 0
2 years ago
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