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3 years ago

Fill in blanks pleasee! :) I will give a brainlist point!

Mathematics

1 answer:

Mumz [18]3 years ago

4 0

13-6=7
A 15*6=90ftsquared
B 15*7=105ftsquared
105+90=195ftsquared
195*4=195+195=390+390=$780

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What are the y and x intercepts of y=3(x-6)²-9 and y=-2(x+5)²+3 .. Thanks

JulsSmile [24]

1.
$y=3(x-6)^2-9 \\ \\
\hbox{x-intercept - y=0} \\
0=3(x-6)^2-9 \\
9=3(x-6)^2 \ \ \ |\div 3 \\
3=(x-6)^2 \\
\sqrt{3}=\sqrt{(x-6)^2} \\
\pm \sqrt{3}=x-6 \\
\pm \sqrt{3}+6=x \\
x=6+\sqrt{3} \ \lor \ x=6-\sqrt{3}} \\ \\
\hbox{y-intercept - x=0} \\
y=3(0-6)^2-9 \\
y=3 \times (-6)^2-9 \\
y=3 \times 36-9 \\
y=108-9 \\
y=99 \\ \\
\boxed{\hbox{x-intercepts: } 6+\sqrt{3} \hbox{ and } 6-\sqrt{3}} \\
\boxed{\hbox{y-intercept: } 99}$

2.
$y=-2(x+5)^2+3 \\ \\
\hbox{x-intercept - y=0} \\
0=-2(x+5)^2+3 \\
-3=-2(x+5)^2 \ \ \ |\div (-2) \\
\frac{3}{2}=(x+5)^2 \\
\sqrt{\frac{3}{2}}=\sqrt{(x+5)^2} \\
\pm \sqrt{\frac{3}{2}}=x+5 \\
\pm \sqrt{\frac{3}{2}}-5=x \\
x=\sqrt{\frac{3}{2}}-5 \ \lor \ x=-\sqrt{\frac{3}{2}}-5 \\ \\
\hbox{y-intercept - x=0} \\
y=-2(0+5)^2+3 \\
y=-2 \times 5^2 +3 \\
y=-2 \times 25+3 \\
y=-50+3 \\
y=-47 \\ \\ \boxed{\hbox{x-intercepts: } \sqrt{\frac{3}{2}}-5 \hbox{ and } -\sqrt{\frac{3}{2}}-5} \\ \boxed{\hbox{y-intercept: } -47}$

7 0

3 years ago

Equivalent expression with only positive exponents. 10 3 × 10 -5 × 2 -8

Studentka2010 [4]

9982 is the correct answer

7 0

3 years ago

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

vfiekz [6]

The range of shelter A is 22. The range of shelter B is 18.

<h3>What are the measures of spread?
</h3>

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number. The range is the difference between the two numbers.

Range of shelter A = 30 - 8 = 22
Range of shelter B = 28 - 10 = 18

To learn more about box plots, please check: brainly.com/question/27215146

#SPJ1

8 0

2 years ago

The formula D=418t+6000 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years a

MakcuM [25]

In 2025, t=30. so D=418*30+6000 = 18540

3 0

3 years ago

What is the slope of the line represented by the equation y = 4/5x-3

icang [17]

Answer:

m = 4/5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define Equation

y = 4/5x - 3

Step 2: Break Function

Identify Parts

Slope m = 4/5

y-intercept b = -3

7 0

3 years ago

Read 2 more answers