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MAVERICK [17]
3 years ago
7

Tell whether the given value is a solution of the inequality. 5x - 17 > 62; x = 13

Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

the given value x=13 is not a solution of the inequality

Step-by-step explanation:

we first need to solve this inequality (can treat the inequality like a normal equation to solve it)

5x-17 > 62

5x > 79

x>(79/5)

keep in mind that (79/5)=15.8

so x needs to be bigger than 15.8 in order to satisfy this inequality.

since 13<15.8 when x=13 it does not satisfy the inequality

therefore the given value x=13 is not a solution of the inequality

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The vertex of the graph of y = -4(x + 3)2 + 2 is​
Fantom [35]

Answer:

vertex = (- 3, 2 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 4(x + 3)² + 2 ← is in vertex form

with (h, k ) = (- 3, 2 )

3 0
4 years ago
Solve for x. And graph 7(3x+4)+2&lt;156
blsea [12.9K]

7(3 \times x + 4) + 2 < 156 \\ 21 \times x + 28 + 2 < 156 \\ 21 \times x + 30 < 156 \\ 21 \times x < 156 - 30 \\ 21 \times x < 126 \\ x  <   \frac{126}{21}  \\ x < 6

8 0
4 years ago
PLEASE I NEED HELP RN!!!
Dmitrij [34]

9514 1404 393

Answer:

  (1.43, 1.87)

Step-by-step explanation:

The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.

  BC = √((4-3)^2 +(5+1)^2) = √37

  AC = √((-4-3)^2 +(2+1)^2) = √58

  AB = √((-4-4)^2 +(2-5)^2) = √73

Then the incenter is ...

  (A(BC) +B(AC) +C(AB))/(BC +AC +AB)

  ≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425

  ≈ (1.42808, 1.87480)

Rounded to hundredths, the incenter is (1.43, 1.87).

4 0
3 years ago
Why is -2 1/2 × 5 2/3
faltersainse [42]
-85/6 or -14.17
first convert into improper fraction then multiply out
8 0
3 years ago
HELP MATH ASAP!!!!! WILL GIVE BRAINLIEST
Assoli18 [71]

Answer:

The answer is

<h2>2⁴ × 3²</h2>

Step-by-step explanation:

To find the GCF of

{2}^{4}  \times  {3}^{2}  \:  \:  \:  \: and \:  \:  {2}^{5}  \times  {3}^{6}

Find the prime numbers with the lowest exponents and multiply them

From the question the prime numbers with the lowest exponents are

2⁴ and 3²

So the GCF in the question is

2⁴ × 3²

Hope this helps you

4 0
4 years ago
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