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3 years ago

f(x)= -7^2+8x+2 what is the value of the discriminant of f? How many x-intercepts does the graph of f have?

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

I think it has one x-intercept which is (0, -47). I am not really sure though.

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

3 years ago

1 meter is times as long as 1 decimeter

anzhelika [568]

Answer:

Step-by-step explanation:

4 0

3 years ago

Determine the sample size needed to construct a 99% confidence interval to estimate the average GPA for the student population

Volgvan

Answer: n = 14

Step-by-step explanation: margin of error = critical value × σ/√n

Where σ = population standard deviation = 1

n = sample size = ?

We are to construct a 99% confidence interval, hence the level of significance is 1%.

The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58

Margin of error = 0.7

0.7 = 2.58×1/√n

0.7 = 2.58/√n

By cross multipying

0.7×√n = 2.58

By squaring both sides

0.7^2 × n = 2.58^2

0.49 × n = 6.6564

n = 6.6564/0.49

n = 14

3 0

3 years ago

-This is a question from my younger sisters homework-

svetoff [14.1K]

Well, if you separate 35 into seven parts, you get 5. You'd then take 5 and multiply it by 6. So

35÷7=5
6×5=30

Joshua answered 30 questions correctly.

7 0

3 years ago

Read 2 more answers

Hannah went on a bike ride on Saturday and Sunday every weekend in November. She recorded the number of miles she rode each time

geniusboy [140]

Looking at the line plot, the longest number of miles is 50, and the shortest is 48 1/4.

Calculating the difference, we have:

$\begin{gathered} 50-48\frac{1}{4} \\ =50-(48+\frac{1}{4}) \\ =50-48-\frac{1}{4} \\ =2-\frac{1}{4} \\ =\frac{8}{4}-\frac{1}{4} \\ =\frac{7}{4} \\ =1\frac{3}{4} \end{gathered}$

Therefore the correct option is the third one.

4 0

1 year ago