All categories

3 years ago

Hat value is needed to fill in the blank to make this trinomial a perfect square trinomial. 4x2 + __x + 81?

Mathematics

1 answer:

Doss [256]3 years ago

4 0

36, because the square root of 4 is 2 and the square root of 81 is 9. You multiply those and then double it to get 36.

You might be interested in

Which graph shows a line with the same y intercept as the graph of 10x - 16y = 40

Amanda [17]

Answer:

The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.

Step-by-step explanation:

The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.

However, the answer can still be explained here.

We can figure out how the graph would look like.

First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.

Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.

Rewrite the equation in slope-intercept form.

10x - 16y = 40

-16y = -10x + 40

y = -10x/-16 + 40/-16

y = ⅝x - ⁵/2

Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.

✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.

4 0

3 years ago

Re-write the quadratic function below in Standard Form<br>2<br>y = -(x – 4)2 + 8

svetlana [45]

Answer:

y=-x+8

Step-by-step explanation:

First distribute the negative

2y=(-x+4)2+8

then you would multiply the (-x+4) by the two

2y=-2x+8+8

then you would combined like terms

2y=-2x+16

then you would divide both sides by 2

y=-x+8

8 0

3 years ago

A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit

inessss [21]

Answer:

The 95% confidence interval is $295.9 < \mu< 324.1$

A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The mean is $\= x = 310 \ mg$

The standard deviation is $\sigma = 36 \ mg$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

=> $\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{36 }{\sqrt{25} }$

$E = 14.1$

The 95% level of confidence interval is mathematically represented as

$\= x - E < \mu$

substituting values

$310- 14.1 < \mu< 310+ 14.1$

$295.9 < \mu< 324.1$

The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

6 0

3 years ago

Qué procedimiento debe realizar para convertir kilómetros a mililitros

natulia [17]

Answer:

multiplica el valor de volumen por 1e+15

Step-by-step explanation:

4 0

3 years ago

Find the composite area of the shaded region. Use 3.14 for 11.

Ganezh [65]

Answer:

Step-by-step explanation:

4 0

3 years ago