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3 years ago

Help I really don’t get this I need help

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

4 0

Answer:

its 3, 60x-12=6(10x-2) all real numbers are solutions for x

Step-by-step explanation:

Sergeu [11.5K]3 years ago

3 0

Answer: 5x-1

Step-by-step explanation:

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PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

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

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

3 years ago

A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those

Sonja [21]

The two stadiums are 2,871 meters

A blimp = point A

stadium 1 = point B

stadium 2 = point C

height of the blimp , AD = 1600

depression angle of stadium 1 , ∠y = 71.7°

depression angle of stadium 2 , ∠x = 25.2°

distance between the two stadiums = d

So, it forms 2 triangles ABD and ACD,

Using the trigonometric ratios,

tan θ = Altitude / Base

DC = AD × tan (90° - x)

= 1600 × tan( 90° - 25.2° )

= 1600 × cot(25.2°)

= 1600 × 2.13

DB = AD × tan (90° - y)

= 1600 × tan( 90° - 71.7° )

= 1600 × cot(71.7°)

= 1600 × 0.33

∴ d = DC - DB

= 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]

= 2,871 meters

To learn more about angle of depression from the given link

brainly.com/question/9723082

#SPJ4

5 0

2 years ago

multiply an odd number by an odd gives an even number. Is it certain, likely, even, unlikely or impossible.

Korvikt [17]

It Is Very Impossible

6 0

3 years ago

Read 2 more answers

Wich are factors of 31

disa [49]

1 and 31

Hope this helps

3 0

3 years ago

Read 2 more answers

Solve the system below using an appropriate method.

fiasKO [112]

Using substitution:
4x+2y=12
y=8x+1

4x+2(8x+1)=12

distribute
4x+16x+2=12

combine like terms
18x+2=12

subtract 2 from both sides
20x=10

divide each side by 20
x=10/20

reduce
x=1/2

plug in x for the y= equation
y=8(1/2)+1

multiply
y=4+1

add
y=5

answer:
(1/2,5)

5 0

3 years ago