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Black_prince [1.1K]
3 years ago
14

State the vertex as an ordered pair. y = -|3x +5|+7

Mathematics
1 answer:
Airida [17]3 years ago
8 0
In plain and short, what value of "x" makes the expression |3x + 5| to 0?

well, we can check by simply setting it to 0 and solving for x.

\bf 3x+5=0\implies 3x=-5\implies \boxed{x=-\cfrac{5}{3}}\\\\
-------------------------------\\\\
\textit{therefore, the vertex of }y = -|3x+5|\boxed{+7}\textit{ is at }\left(-\frac{5}{3}~,~7  \right)

notice, all you do is, get the x-value that makes the expression to 0, and then append the constant outside it as the y-value, and that's the vertex.
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Caroline earns $106.25 for 5 hours of work. If she makes a constant hourly wage, which table represents the relationship between
Debora [2.8K]

Answer: A

Step-by-step explanation:

7 0
3 years ago
Mrs.Henderson had 7/12dozen eggs in her refrigerator.Then she used 1/6 dozen eggs to make a cake.What fraction of a dozen is lef
zhuklara [117]
Ok so to find the eggs left we need to subtract but with fractions, you need a common denominator. You can multiply 1/6 by 2 because 6·2=12 which will be the same denominator as 7/12. You must multiply the numerator by 2 as well so 1/6· 2/2= 2/12. Now subtract 7/12 - 2/12 and you have 5/12 eggs left. :)
5 0
3 years ago
Read 2 more answers
Which of the following is the solution to the equation - n/2 + 14 = 0 ?
poizon [28]
The answer is n=28;

1. Subtract 14 from both sides (-n/2 = -14)

2. Multiply by 2 on both sides to get rid of the fraction (-n = -28)

3. Divide by -1 to get n by itself (n = 28)

You could also eliminate step three by multiplying by -2 instead of just 2.

Hope this helps!
4 0
3 years ago
The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n
Ulleksa [173]

Answer:

m=12\,,n=7

Step-by-step explanation:

The magnitude of vector (x,y) is given by \sqrt{x^2+y^2}

The magnitude of vector a=(5,m) is 13.

\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12

The magnitude of vector b=(n,24) is 25.

\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7

Therefore,

m=12\,,n=7

5 0
3 years ago
Find the total surface area
Sindrei [870]

Answer:

298 cm^2.

Step-by-step explanation:

There are 3 pairs of faces of equal area.

Area of top = 7 * 11.  So it's  2 * 7 * 11 = 154.

Area of a smaller side  = 7 * 4 so we have 2*28 = 56 .

Area of larger side = 4*11 so it's  2*44 = 88.

Total surface area = 154 + 56 + 88

= 298.

5 0
3 years ago
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