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3 years ago

Please help me with this I domt understand

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Answer:

its A

Step-by-step explanation:

it is linear because this is happening every day, and it is negative because 1/2 is being removed every day

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Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

Given:

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

Solve for $x$ in the 1st equation:

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

Substitute the value of $x$ into the 2nd equation and solve for $z$ :

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

Substitute the value of $z$ into the 3rd equation and solve for $y$ :

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

Plug $y=3$ into the solved expression for $z$ and evaluate to solve for $z$ :

$z=16-7(3)$

$z=16-21$

$z=-5$

Plug $z=-5$ into the solved expression for $x$ and evaluate to solve for $x$ :

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

Little Red Riding Hood falls asleep in the forest, 5km away from her grandmother’s house. The next morning, she walks toward her

Ratling [72]

Answer:

2 hours

Step-by-step explanation:

If she was 5km away and is now 2km away she walked 3 km. To walk 3 km at 1.5 km/h you have to divide 3km by 1.5km to get 2 hours

7 0

3 years ago

Find the 15th term of the arithmetic sequence if a1 = -3 and d = 2

pantera1 [17]

Answer:

Step-by-step explanation:

a1 = - 3 Given

d = 2 Given

n = 15 Given

Formula

tn = a1 + (n - 1) * d

Substitute and solve

t15 = -3 + (15 - 1) * 2 Calculate what's in the brackets.

t15 = -3 + 14*2 Combne

t15 = -3 + 28 Add the two terms

t15 = 25

3 0

3 years ago

Solve 2x2 – 6x + 10 = 0 by completing the square.

astraxan [27]

Answer: x = 6.32 or -0.32

Step-by-step explanation:

2x² - 6x + 10 = 0

No we divide the expression by 2 to make the coefficient of x² equals 1

We now have

x² - 3x + 5 = 0

Now we remove 5 to the other side of the equation

x² - 3x = -5

we add to both side square of half the coefficient of x which is 3

x² - 3x + ( ⁻³/₂)² = -5 + (⁻³/₂)²

(x - ³/₂)² = -5 + ⁹/₄

Resolve into fraction

(x - ³/₂)² = ⁻¹¹/4

Take the roots of the equation

x - ³/₂ = √¹¹/₄

x - ³/₂ = √11/₂

x = ³/₂ ± 3.32/₂

= 3+ 3.32 or 3 - 3.32

= 6.32 or - 0.32

4 0

3 years ago

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the

ollegr [7]

The function which can represent the height, y according to the horizontal distance, x is; Choice A; y = –3/4x + 36.

Which function can represent the height, y, according to the horizontal distance x, from the top of the stairs?

According to the task content; The railing will begin at a height of 36 inches and follow the slant of the stairs. On this note, it follows that the y-intercept of the function is 36.

Additionally, since the railings decreases 9 inches for every 12 horizontal inches, it follows that the slope, m = -9/12 = -3/4.

On this note, the required function is; A.y = –3/4x + 36

Please help me with this I domt understand ​

Please help me with this I domt understand