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3 years ago

What is the degree of the polynomial function shown in the graph?

Mathematics

2 answers:

Ivahew [28]3 years ago

4 0

The correct answer is

dusya [7]3 years ago

3 0

The answer to your Q is 4

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The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length

wariber [46]

Answer:

Option A. $x=10\ in$

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

$(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0$

using a graphing tool to solve the quadratic equation

The solution is $x=10\ in$

see the attached figure

5 0

4 years ago

Kristin spent 40$ on pampers. If they cost 8$ / package , how many packages did she buy

damaskus [11]

Answer:

5 Packages

Step-by-step explanation:

40 / 8 = 5

5 0

3 years ago

RSM QUESTION!! NEED HELP WOTH THIS

asambeis [7]

Answer:

x = 50 degrees

y = 70 degrees

z = 60 degrees

w = 70 degrees

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please help me with my math hw

nydimaria [60]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

$\frac{3}{4}x=60\\ \\\frac{3}{4}x*4=60*4\\ \\3x=240\\\\\frac{3x}{3}=\frac{240}{3}\\ \\ x=80$

Check solution:

$\frac{3}{4}(80)\stackrel{?}{=}60\\\\\frac{3*80}{4}\stackrel{?}{=}60\\\\\frac{240}{4}\stackrel{?}{=}60\\\\60=60$

Problem 2

$\frac{2}{5}x=42\\ \\\frac{2}{5}x*5=42*5\\ \\2x=210\\\\\frac{2x}{2}=\frac{210}{2}\\ \\ x=105$

Check solution:

$\frac{2}{5}(105)\stackrel{?}{=}42\\\\\frac{2*105}{5}\stackrel{?}{=}42\\ \\\frac{210}{5}\stackrel{?}{=}42\\ \\42=42$

Problem 3

$\frac{3}{5}y=40\\ \\\frac{3}{5}y*5=40*5\\ \\3y=200\\\\\frac{3y}{3}=\frac{200}{3}\\ \\ y=\frac{200}{3}$

Check solution:

$\frac{3}{5}(\frac{200}{3})\stackrel{?}{=} 40\\ \\ \frac{3*200}{5*3}\stackrel{?}{=} 40\\ \\\frac{600}{15}\stackrel{?}{=}40\\\\40=40$

Problem 4

$-\frac{8}{3}m=6\\\\-\frac{8}{3}m*3=6*3\\ \\-8m=18\\\\\frac{-8m}{-8}=\frac{18}{-8}\\\\m=-\frac{18}{8}\\ \\m=-\frac{9}{4}$

Check solution:

$-\frac{8}{3}(-\frac{9}{4})\stackrel{?}{=}6\\\\\frac{-8*-9}{3*4}\stackrel{?}{=}6\\\\\frac{72}{12}\stackrel{?}{=}6\\ \\6=6$

Problem 5

$\frac{5}{6}x=4\\ \\\frac{5}{6}x*6=4*6\\ \\5x=24\\\\\frac{5x}{5}=\frac{24}{5}\\ \\ x=\frac{24}{5}$

Check solution:

$\frac{5}{6}(\frac{24}{5})\stackrel{?}{=}4\\ \\\frac{5*24}{6*5}\stackrel{?}{=}4\\\\\frac{24}{6}\stackrel{?}{=}4\\ \\4=4$

Problem 6

$\frac{5}{3}x=12\\ \\\frac{5}{3}x*3=12*3\\ \\5x=36\\\\\frac{5x}{5}=\frac{36}{5}\\ \\x=\frac{36}{5}$

Check solution:

$\frac{5}{3}(\frac{36}{5})\stackrel{?}{=}12\\\\\frac{5*36}{3*5}\stackrel{?}{=}12\\ \\\frac{36}{3}\stackrel{?}{=}12\\ \\12=12$

7 0

2 years ago

A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. two hours later, a cyclist sta

valina [46]

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

We know that the formula for calculating distance is:

d = v t

therefore,

vA tA = vB tB

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

4 tB + 8 = 14 tB

10 tB = 8

tB = 0.8 hours = 48 min

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

8 0

3 years ago