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zalisa [80]
3 years ago
14

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

Mathematics
2 answers:
yan [13]3 years ago
8 0
It’s -4,-18 the is for sure the right answer
scoundrel [369]3 years ago
7 0
Thé vertex of the graph of the following function f(x)=x2+8x-2 is (-4,-18).
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mr. Choi spent $23 at the mall. If he left the mall with $59, how much money did he have when he first arrived at the mall?
Temka [501]

Answer: 82

Step-by-step explanation:

59+23=82

Check

82-23=59

8 0
3 years ago
If AB= 5 what is the exact length of BD in square ABCD ​
Afina-wow [57]

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

5 0
3 years ago
For the given table of values for a polynomial function, where must the zeros of the function lie?
Ymorist [56]

Answer:

(B). between 2.5 and 3.0 and between 4.0 and 4.5.

Step-by-step explanation:

According to the Question,

  • If the value of the function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersects the x-axis at its zeroes.

From the given table it is clear that the value of function are

 x   |  f(x)  |   Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

  • The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5. It means the graph of function must intersect the x-axis in intervals 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.

Therefore, the correct option is B.

8 0
3 years ago
100 Points
atroni [7]

\left\{\begin{array}{ccc}ax+by=c\\ax+by=c\end{array}\right\Rightarrow\text{coincident}\\\\\left\{\begin{array}{ccc}ax+by=c\\ax+by=d\\c\neq d\end{array}\right\Rightarrow\text{inconsistent}\\\\\left\{\begin{array}{ccc}ax+by=c\\dx+ey=c\\a\neq d\ or\ b\neq e\end{array}\right\Rightarrow\text{consistent independent}

\left\{\begin{array}{ccc}x+5y=-2\\x+5y=4\end{array}\right\Rightarrow\boxed{\text{inconsistent}}\\--------------------------------\\\left\{\begin{array}{ccc}y=3x+4&\text{subtract 3x from both sides}\\-2x+y=4\end{array}\right\\\\\left\{\begin{array}{ccc}-3x+y=4\\-2x+y=4\end{array}\right\Rightarrow\boxed{\text{consistent independent}}\\-----------------------------\\\left\{\begin{array}{ccc}3x+y=4\\-6x-2y=-8&\text{divide both sides by (-2)}\end{array}\right\\

\left\{\begin{array}{ccc}3x+y=4\\3x+y=4\end{array}\right\Rightarrow\boxed{\text{coincident}}

7 0
3 years ago
Read 2 more answers
Show all work to write the expression in simplified radical form:
azamat

Answer:

\sqrt[3]{192} x^{\frac{3}{5} }y^{\frac{3}{8} }

Step-by-step explanation:

You have to simplify all of the terms individually

\sqrt[3]{192} = 5.769

Since that isn't a whole number, it doesn't simplify

Use the root to exponent rule for the variables

\sqrt[3]{x^{5} } =x^{\frac{3}{5} }

\sqrt[3]{y^{8} } =y^{\frac{3}{8} }

Then put them all together to get

\sqrt[3]{192} x^{\frac{3}{5} }y^{\frac{3}{8} }

Make sure the variables aren't under the root when you give your answer

I hope this helps!

pls mark brainliest

4 0
2 years ago
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