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4 years ago

4.38/322=X/267 solve for X

Mathematics

1 answer:

zhuklara [117]4 years ago

7 0

Answer:

3.63186335

Step-by-step explanation:

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Which statement best describes the zeros of the function h(x) = (x – 6)(x2 + 8x + 16)? A. The function has two distinct real zer

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Here, we want to choose the option that best suit the question.

Let’s consider the cases individually;

for (x-6) = 0

we have a root at x = 6 which is a real root

Secondly

x^2 + 8x + 16 = x^2 + 4x + 4x + 16 = 0

That would be;

x(x + 4) + 4(x + 4)

(x + 4)(x + 4) = 0

Thus x = - 4 twice

So the roots of the given equation would be;

6 , -4 , -4

Which is 3 real roots but only 2 real distinct roots

5 0

4 years ago

What is the value of x in the equation:<br><br> -10x -19 = 19 -8x

Rom4ik [11]

Answer:

x = -19

Step-by-step explanation:

-10x - 19 = 19 - 8x

-10x + 8x = 19 + 19

-2x = 38

x = -19

6 0

3 years ago

Read 2 more answers

Mark has a postcard with a width of 3 1/3 inches. He wants to enlarge the postcard by a factor of 9 1/2 to make a poster. Which

Anna11 [10]

Answer:

C. The poster will have an width of 31 2/3 inches.

Step-by-step explanation:

3 1/3*9 1/2= 31 2/3 inches

8 0

3 years ago

What is the volume of a triangular pyramid that has a base area of 8.2 square centimeters and a height of 4

Harman [31]

Answer:

$\boxed {\boxed {\sf V \approx 10.9 \ cm^3}}$

Step-by-step explanation:

The volume of a triangular pyramid can be found using the following formula:

$V=\frac{1}{3} A_b\times h$

Basically, we have to multiply 1/3, the height, and the base area.

We know that the base area is 8.2 square centimeters and the height is 4 centimeters.

$A_b=8.2 \ cm^2 \\h= 4 \ cm$

Substitute the values into the formula.

$V=\frac{1}{3} (8.2 \ cm^2)\times (4 \ cm)$

Multiply 8.2 square centimeters and 4 centimeters.

8.2 cm² * 4 cm= 32.8 cm³

$V=\frac{1}{3} (32.8 \ cm^3)$

Multiply 1/3 and 32.8 cubic centimeters.

$V= 10.9333333 \ cm^3$

Round to the nearest tenth.

The 3 in the hundredth place tells us to leave the 9 in the tenth place.

$V \approx 10.9 \ cm^3$

The volume of the triangle pyramid is about 10.9 cubic centimeters.

5 0

3 years ago

Write the sum using summation notation, assuming the suggested pattern continues.

Usimov [2.4K]

Answer:

Sum of the sequence will be 648

Step-by-step explanation:

The given sequence is representing an arithmetic sequence.

Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6

3 - (-3) = 3 + 3 = 6

Since last term of the sequence is 81

Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence

$T_{n}=a+(n-1)d$

where a = first term of the sequence

d = common difference

n = number of terms

81 = -9 + 6(n - 1)

81 + 9 = 6(n - 1)

n - 1 = $\frac{90}{6}=15$

n = 15 + 1 = 16

Now we know sum of an arithmetic sequence is represented by

$\sum_{n=1}^{n}(a_{n})=\frac{n}{2}(a_{1}+a_{n})$

Now we have to find the sum of the given sequence

$S_{16}=\frac{16}{2}[-9 + (16-1)6]$

= 8[-9 + 90]

= 8×81

= 648

Therefore, sum of the terms of the given sequence will be 648.

6 0

3 years ago