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Vedmedyk [2.9K]

3 years ago

9

What is the slope of the graph of 4x-16y=15

1 answer:

kotegsom [21]3 years ago

8 0

$4x-16y=15\ \ \ /-4x\\\\-16y=-4x+15\ \ \ \ /:(-16)\\\\y=\frac{-4}{-16}x+\frac{15}{-16}\\\\y=\frac{1}{4}x-\frac{15}{16}\\\\\\\\the\ slope\ is\ \frac{1}{4}$

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Which of the following inequalities is equivalent to 3-(w+2)>4+2w

Kay [80]

$3 - w - 2 > 4 + 2w \\ - w - 2w > 4 + 2 - 3 \\ - 3w > 6 - 3 \\ \frac{ - 3w}{ - 3} > \frac{3}{ - 3} \\ w < - 1$
The sign at the end changes because both sides of the equation are being divided by a negative number.

4 0

3 years ago

Read 2 more answers

Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

Virty [35]

Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

64-53

11

7 0

3 years ago

I need help :/ i have five questions

IrinaK [193]

Answer:

Step-by-step explanation:

1. The given equation is:

$\frac{3}{5}{\times}\frac{4}{5}$

Multiplying both the terms, we get

$\frac{12}{25}$

Option A is correct.

2. The given equation is:

$2\frac{1}{3}{\times}\frac{3}{4}$

Converting the improper fraction into the mixed fraction,

$\frac{7}{3}{\times}\frac{3}{4}$

= $\frac{7}{4}$

Option C is correct.

3. The given equation is:

$\frac{3}{16}{\times}\frac{4}{21}$

Multiplying both the terms, we get

= $\frac{1}{28}$

4. The given equation is:

$3\frac{8}{9}{\times}4\frac{4}{5}$

Converting the improper fraction into the mixed fraction,

$\frac{35}{9}{\times}\frac{24}{5}$

= $\frac{56}{3}$

5. One package contains= $5\frac{1}{4}=\frac{21}{4}$ pounds of raisins.

$4\frac{2}{3}$ packages contains= $4\frac{2}{3}{\times}5\frac{1}{4}$ pounds of raisins.

= $\frac{14}{3}{\times}\frac{21}{4}$

= $\frac{49}{2}$

Therefore, the baker used $\frac{49}{2}$ pounds of raisins.

5 0

4 years ago

The cheerleader section is on the basketball court. Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards. How man

Lady_Fox [76]

Answer:

The area of the floor space is equal to 5.83 sq yards.

Step-by-step explanation:

Given that,

Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards.

We need to find how many square yards of floor space are taken up by one row of cheerleaders.

We know that, the area of a rectangle is given by :

A = lb

So,

$A=\dfrac{7}{4}\times \dfrac{10}{3}\\\\A=5.83\ yards^2$

So, the area of the floor space is equal to 5.83 sq yards.

5 0

3 years ago

Someone please help me on this!

Alexxx [7]

Answer & Step-by-step explanation:

This can be proven with the SAS theorem (side-angle-side)

With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:

$GJ=IJ$

and it creates two 90° angles:

∠ $GJH=$ ∠ $IJH$

And because of the reflexive property of congruence:

$JH=JH$

Side-Angle-Side.

:Done

6 0

3 years ago