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3 years ago

Which of the following best describes the slope of the line below

Mathematics

1 answer:

adoni [48]3 years ago

8 0

Answer:

B. Negative

Step-by-step explanation:

A line that has a negative "rise" (vertical change) for a positive "run" (horizontal change) has a negative slope. The slope is calculated from rise/run, so if the signs of rise and run are different, the slope is negative.

Any line that goes downward to the right has negative slope.

_____

Any line that goes upward to the right has positive slope.

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It takes Harland 15 minutes to rake all leaves in the front yard. If Trudy scatters the leaves while Harland rakes, it takes him

Alinara [238K]

If T were to scatters the leaves faster than H rakes them, H would Neve finish raking. So must be over 20 minutes

1/15-1/T=1/20
4/60-1/T=3/60
T=60 mins

So it would take Trudy 60 minutes to scatter all of the leaves

4 0

3 years ago

Read 2 more answers

-5 = .25d +3<br><br> Help me

Natalka [10]

Answer:

$d = - 32$

Step-by-step explanation:

$- 5 = 0.25d + 3 \\ add \: 5 \: from \: both \: sides \\ \\ - 0.25 = 8 \\ divide \: both \: sides \: by \: - 0.25 \\ \\ d = - 32$

7 0

3 years ago

Hay que envasar 3582 botellas, en donde en cada caja entran 24 botellas. Que

Mariana [72]

Answer:

La operación es de división:

$C=3582/24=149.25$

Se envasan 149 cajas y quedan 6 botellas para la próxima caja.

The operation is division:

$C=3582/24=149.25$

149 boxes are completed and 6 bottles are left for the next box.

Step-by-step explanation:

Hay que dividir la cantidad de botellas a envasar (3582) por la cantidad de botellas que entran en cada caja (24).

Esta operación nos da:

$C=3582/24=149.25$

Podremos llenar 149 cajas por completo, pero nos sobra el contenido de 0.25 cajas, que equivale a 0.25*24=6 botellas.

You have to divide the total amount of bottles (3582) by the amount of bottles per box (24).

Then you have the operation:

$C=3582/24=149.25$

We can fill 149 complete boxes, but we are left with 0.25 boxes, which is equivalent to 0.25*24=6 bottles.

3 0

3 years ago

the scale from a square park to a drawing of the park is 5 m to 1 cm the actual park has an area of 1,600 m² what is the area of

ludmilkaskok [199]

Answer:

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park

solution:

drawing scale is 5m : 1cm

x 1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x =<u> 1600 m² </u>

5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

5 0

3 years ago

Graph a parabola whose intercepts are x=-3 and x=5 and whose minimum value is y =-4

blagie [28]

Answer:

$y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60$

Step-by-step explanation:

A parabola has the following format:

$y = f(x) = ax^{2} + bx + c$

If a is positive, it's minium value is:

$y_{M} = -\frac{\bigtriangleup}{4a}$

In which

$\bigtriangleup = b^{2} - 4ac$

Factoring:

$ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , in which $x_{1} and x_{2}$ are the intercepts.

In this question:

$x_{1} = -5, x_{2} = -3$

$a(x - x_{1})*(x - x_{2}) = a*(x - (-5))*(x - (-3)) = a*(x+5)*(x+3) = a*(x^{2} + 8x + 15)$

Suppose a = 1, we have:

$x^{2} + 8x + 15$

$\bigtriangleup = 8^{2} - 4*1*15 = 4$

The minimum value will be:

$y_{M} = -\frac{4}{4} = -1$

We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then

$a = 4$

And the parabola is:

$y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60$

4 0

3 years ago