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3 years ago

Systems of Equations Word Problem:

Mathematics

1 answer:

Semmy [17]3 years ago

4 0

X= fancy, y= plain
x+y= 7
28x+ 15y=131
solve by substitution

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Question Progress

allsm [11]

Answer:

5324

Step-by-step explanation:

formula=πr^2 h

22÷7×11×11×14=

22÷7×1694=

242×22=5324 cm

7 0

3 years ago

Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s clai

stich3 [128]

Answer:

Stephen's claim is correct.

Step-by-step explanation:

The given function is

$f(x)=(x+3)(x+5)$

Put x=0 to find the y-intercepts.

$f(0)=(0+3)(0+5)=3\times 5=15$

The y-intercept of the function is at (0,15). It means jeremiah's statement is incorrect.

Put f(x)=0, to find the x-intercept.

$0=(x+3)(x+5)$

$x+3=0\Rightarrow x=-3$

$x+5=0\Rightarrow x=-5$

The x-intercepts are at (-3,0) and (-5,0). It means Lindsay's statement is incorrect.

$f(x)=(x+3)(x+5)$

$f(x)=x^2+8x+15$

$f(x)=x^2+8x+15+16-16$

$f(x)=(x^2+8x+16)-1$

$f(x)=(x+4)^2-1$ .... (1)

The vertex form of a parabola is

$f(x)=(x-h)^2+k$ .... (2)

Where, (h,k) is vertex.

From (1) and (2) it is clear that the vertex of the parabola is (-4,-1), Stephen's claim is correct.

The midpoint between the x-intercepts is

$(\frac{-3-5}{2},\frac{0+0}{2})=(-4,0)$

The midpoint between the x-intercepts is at (-4, 0). It means Alexis's statement is incorrect.

3 0

3 years ago

Read 2 more answers

14. MULTIPLE CHOICE The number of students in the marching band increased from 100 to 125. What is the percent of increase? (Ski

slamgirl [31]

The percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

<h3>What is the percentage?</h3>

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

It is given in the question that the number of students in the marching band increased from 100 to 125 so we need to find the percentage increase of the students.

The percentage increase of the students will be calculated as:-

% increase=[(125-100)÷(100)]x100

% increase=[(25)÷(100)]x100

% increase= [0.25x100]

% increase= 25%

Hence the percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

To know more about percentages follow

brainly.com/question/24304697

#SPJ1

6 0

2 years ago

I need help on question four just that one please ASAP! please and thank you! Hope you have a wonderful day and blessed one!

Ivanshal [37]

Answer:

ty but i dont see anything have a blessed day too

Step-by-step explanation:

6 0

3 years ago

The product is 200. Both factors are multiples of 10

irinina [24]

Answer:

20 and 10

Step-by-step explanation:

5 0

4 years ago