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nika2105 [10]
3 years ago
12

Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -8x^2 + 8x + 5.

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0
f(x)=-8x^2+8x+5\\\\f(x)=0\iff-8x^2+8x+5=0\\\\a=-8;\ b=8;\ c=5\\\\\Delta=b^2-4ac\\\\\Delta=8^2-4\cdot(-8)\cdot5=64+160=224\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{224}\approx\sqrt{225}=15\\\\x_1\approx\frac{-8-15}{2\cdot(-8)}=\frac{-23}{-16}=1\frac{7}{16}\approx1.5\\\\x_2\approx\frac{-8+15}{2\cdot(-8)}=\frac{7}{-16}=-\frac{7}{16}\approx-0.5
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Find three consecutive numbers whose sum equals<br>999.​
mina [271]

Answer:

332, 333, 334

Step-by-step explanation:

First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.

4 0
2 years ago
-4(y - 2) = 12<br><br> solve for y, thanks
andrezito [222]

Answer:

-1

Step-by-step explanation:

-4(y-2)=12

-4y+8=12

-4y=4

y= -1

8 0
3 years ago
Read 2 more answers
Inverse variation ?
Nookie1986 [14]
<h2>Answer:</h2>

<u>The pressure will be 176 k Pa</u>

<h2>Step-by-step explanation:</h2>

Boyle's law states that the product of volume and pressure gives us a constant value so we can write the expression as

P1V1 = P2V2

By arranging the equation we get

P1V1 / V2 = P2

Putting the values

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4 0
3 years ago
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Find the angle measures given the figure is a rhombus
IrinaK [193]

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

m° = 148°/2

m° = 74°

Hence the angle measure if m(1) is 74°

4 0
3 years ago
HELP PLEASE! whats the height and base??
ddd [48]

Answer: 7.5

Step-by-step explanation:

Area of the bottom left triangle = 4x3/2 = 6

Bottom right = 6x3/2 = 9

Top right = 3x4/2 = 6

Top left = 6x3/2 = 9

6+9+6+9 = 30

Each square unit is 4

So the answer should be 30/4 = 7.5

Hope this is correct

8 0
2 years ago
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