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rodikova [14]
3 years ago
7

Solve the system of inequalities to decide if the point (-3,2) is part of the solution; y<=-4x-3, +8y>=7

Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:

(x,y) = (-3,2) is a solution

Step-by-step explanation:

Given

y \le -4x + 3

x + 8y \ge 7

Required

Determine if (x,y) = (-3,2) is a solution

y \le -4x + 3 becomes

2 \le -4 * -3 + 3

2 \le 15 --- this is true

x + 8y \ge 7

-3+ 8 * 2 \ge 7

13 \ge 7 --- this is also true

Hence,

(x,y) = (-3,2) is a solution

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hodyreva [135]

Answer:

7 19/42

Step 1:

Convert the mixed fractions into improper fraction (Denominator will be same)

2x7+2= 16/7

5x6+1=31/6

Step 2:

LCM of 6 and 7 are 42

Step 3:

217+96/42= 313/42

Step 4:

Covert to mixed fraction so the answer is 7 19/42

7 0
2 years ago
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Mr. phill stopped to fill his car with gas on the way to New York. It took 1 ¼ minutes to fill a 15 liters of gas in his tank. A
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Answer:

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Step-by-step explanation:

<u>Filling rate is:</u>

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2 years ago
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Step-by-step explanation:

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3 years ago
Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect
prisoha [69]

Answer:

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Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

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Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

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5 0
3 years ago
Which equation is equivalent to<br><br> f(x) = 16x4 – 81 = 0?
Vesna [10]

Answer:

The equivalent expression is:

16x^4-81=(4x^2-9)(4x^2+9)

Step-by-step explanation:

We have been given the equation:

f(x)=16x^4-81=0

Equivalent expression can be computed by solving the expression ai its maximum.

We can factorize the given equation:

By using a^2-b^2=(a+b)(a-b)

Here, a=4x^2,b=9

Hence, we get the equation below:

16x^4-81=(4x^2-9)(4x^2+9)

Therefore, the equivalent expression is:

16x^4-81=(4x^2-9)(4x^2+9)

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3 years ago
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