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lions [1.4K]
3 years ago
11

Determine whether the graph of the quadratic function y = –3x2 + 2x + 5 opens upward or downward. Explain.

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

The graph of the function opens downwards.

Step-by-step explanation:

The graph opens upward if the coefficient of x^2 is higher than 0.

But, the coefficient of x^2 (-3) is less than 0.

So the graph of the function opens downwards.

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Sandra's scores on the first 4 tests were 87%, 92%, 76%,and 89%. What is the minimum score she needs to make on the fifth test s
sergejj [24]

Answer:

Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.

Step-by-step explanation:

Given:

First 4 test scores = 87%, 92%, 76%,89%

Average targeted = 80%

We need to find the minimum score she needs to make on fifth test to achieve average of at least 80%.

Solution:

Let the minimum score she needs to make in fifth test be 'x'.

Total number of test = 5

Now we know that;

Average is equal to sum of all the scores in the test divided by number of test.

framing in equation form we get;

\frac{87+92+76+89+x}{5}=80

Multiplying both side by 5 we get;

\frac{344+x}{5}\times 5=80\times 5\\\\344+x=400

Subtracting both side by 344 we get;

344+x-344=400-344\\\\x=56\%

Hence Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.

5 0
3 years ago
What is -2(g+5) please help :)
Nastasia [14]

Answer:

-2g -10

Step-by-step explanation:

On simplifing this expression we get,

-2(g+5)

=> -2g + (-10)

=> -2g - 10

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

6 0
2 years ago
Read 2 more answers
Find cscθ.<br><br>pls answer
ExtremeBDS [4]

Answer:

The answer to your question is csc Ф = \frac{-5}{4}

Step-by-step explanation:

Process

1.- Determine the sign

We must determine csc Ф in the forth quadrangle, here csc is negative.

2.- Determine the hypotenuse

     c² = a² + b²

     c² = 3² + (-4)²

     c² = 9 + 16

     c² = 25

     c = 5

3.- Determine csc Ф

    csc Ф = \frac{hypotenuse}{opposite side}

    csc Ф = \frac{5}{-4}  = \frac{-5}{4}

7 0
3 years ago
Use the given information to write a linear equation in slope- intercept form...
leva [86]

Answer:

y= -2x + (-6)

or

y= -2x - 6

both work !

Step-by-step explanation:

4 0
3 years ago
One fifth of the square of a number. Equation
Alex Ar [27]

Answer:

=  \frac{1}{5}   {x}^{2}

5 0
3 years ago
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