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3 years ago

6

Without sketching the graph of the function, find the maximum value of y = - 5x + 4 over the interval - 4 <= x <= 3. Expla

in how you found this value.

1 answer:

yKpoI14uk [10]3 years ago

3 0

Answer:

$y_{max}=24$

Step-by-step explanation:

Given function $y=-5x+4$ is linear function. This linear function represents the straight line on the coordinate plane. The slope of this line is $-5.$ Since the slope is negative, the linear function is decreasing for all x. This means

$\text{ if } x_1 f(x_2)$

You ar geven the interval $-4\le x\le 3.$ So, the maximum value of the function is at the point x=-4 and the minimum value of the function is at the point x=3.

At x=-4,

$y=-5\cdot (-4)+4=20+4=24.$

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TiliK225 [7]

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2 years ago

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Round each number to the underlined place. <br> 4.6666<br> The third 6 is underlined

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3 years ago

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure

soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

$x+(2x+12)+90=180$

$3x+102=180$

$3x=180-102$

$3x=78$

Divide both sides by 3.

$x=\dfrac{78}{3}$

$x=26$

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

$2x+12=2(26)+12$

$2x+12=52+12$

$2x+12=64$

Therefore, the measures of two acute angles are 26° and 64° respectively.

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3 years ago

45 – (–32) + (–12) – |–7|

mash [69]

Answer:

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58

Step-by-step explanation:

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3 years ago

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Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6

Sveta_85 [38]

Answer:

$B=7x^4$

Step-by-step explanation:

The given equality is

$-35x^6=(-5x^2)B$

Take the term $(-5x^2)$ to the left hand side. This means the term $-35x^6$ will be divided by $(-5x^2)$

$\dfrac{-35x^6}{(-5x^2)}=B$

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

$\dfrac{35x^6}{(5x^2)}=B$

Now $5\times 7=35$ and $x^{6-2}=x^4$

$7x^4=B$

So, the missing factor $B=7x^4$

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3 years ago