Step-by-step explanation:
The area of little Tommy's backyard rectangular sandbox can be represented by the given trinomial.
A = (x²-6x+8) ft²
We know that the area of a rectangle is given by :
A = L × B
[tex]LB=(x^2-6x+8) \\\\=x^2-(-4x-2x)+8\\\\=x^2+4x+2x+8\\\\=x(x+4)+2(x+4)\\\\=(x+2)(x+4)[/tex]
The length of the rectangle can be either (x+2) or (x+4).
Solve: 9m - 3 (m + 6) = 2 (m + 7)
Answer:
[tex]m=8[/tex]
Step-by-step explanation:
[tex]9m-3(m+6)=2(m+7)[/tex]
[tex]9m-3m-18=2m+14[/tex]
[tex]6m-18=2m+14[/tex]
[tex]4m= 32[/tex]
[tex]m=8[/tex]
Find the two integers, m and n,
make the equation (2x^ny2)m = 4x6y4 true.
Answer:
m = 2 and n = 3
Step-by-step explanation:
We want to find the value of the integers m and n that will make the given expression true
(2x^ny^2)^m = 4x^6y^4
We can rewrite the left hand side of the equation as follows;
(2x^3y^2)^2
we can proceed to use inspection to ind the value of m and n
Through inspection since the left hand side of the equation now looks like the right hand side;
Then;
m= 2 and n = 3
when x=-4, what is the value of g(x)
Answer:
just fill in -4 for x so it would be g(-4)
Step-by-step explanation:
Happy Halloween
4. In Canadian coins, 16 quarters is equal in value to 2 toonies.
number of quarters
number of toonies
1
16
2
20
24
a. Fill in the table.
Answer:
If 16 quarters is equal to 2 toonies, then 1 quarter is;
16 : 2
1 : x
16x = 2
x = 2/16
x = 1/8 toonies
20 quarters would therefore be;
= 1/8 * 20
= 2.5 toonies
24 quarters would be;
= 1/8 * 24
= 3 toonies
If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3
[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]
Plot J(-2,8), K(0,8), L(1,0), and M(1,-2) in a coordinate plane. Then determine whether JK and LM are congruent. A. Cannot be determined from the information given. O B. Cannot use Ruler Postulate for this problem. OC. JK and LM are congruent. D. JK and LM are not congruent.
Answer:
C. JK and LM are congruent
Step-by-step explanation:
Given the coordinates J(-2,8), K(0,8), L(1,0), and M(1,-2), in other to determine whether JK is congruent to LM, we need to determine if the length of side JK and LM are equal i.e JK = LM
To get JK:
We will find the distance between the coordinates J(-2,8), K(0,8) to get the length JK using the formula:
JK =√(x2-x1)²+(y2-y1)²
JK = √(0-(-2))²+(8-8)²
JK = √2²+0²
JK = √4
JK = 2
For the length of LM with coordinate L(1,0), and M(1,-2)
LM = √(1-1)²+(-2-0)²
LM = √0²+(-2)²
LM = √0²+2²
LM = √0+4
LM =√4
LM = 2
Since JK = LM = 2 units, this means that JK and LM are congruent.
please help important!!!!!!!!!!!!!
Answer:
the answer is B!! hopefully this helps
PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *
Can someone help me please
Answer:
the answer is 2 hope this help
Step-by-step explanation:
Which of the following values are solutions to the inequality –4 > 5x – 3?
A. -6
B. 7
C. 5
Answer:
B 7
Step-by-step explanation:
5 stars plz mark a brainleast
Need help please rn hurry
Answer:
-3
Step-by-step explanation:
plug in the x and y values than raise them to the second power and subtract! hope that helps!
10 POINTS!! HELP ASAP!! What is the length of AC?
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values
[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
Answer:
D. 144
Step-by-step explanation:
Triangle BAC is similar to triangle DEC, so you can set up a ratio:
[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]
Then cross multiply
84x = 7 (156 - x)
84x = 1092 - 7x
Add 7x to both sides.
91x = 1092
Divide both sides by 91.
x = 12
AC = 156 - x
AC = 156 - 12
AC = 144
The equation y=2x+10 describes the monthly cost to rent a movie at the local
video kiosk, where x represents the number of movies rented and y represents the
total cost. Find and describe the slope of this relationship.
Answer:
its a anwser
Step-by-step explanation:
22+2 = 187
Your answer
2. Find the slope of the line that passes through each of the points. Make
sure you simplify! *
1 point
(4,-2)and (10,-2)
1/2
-1/2
O 0
1/6
In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.
Answer/Step-by-step explanation:
Given:
m<9 = 80°,
m<5 = 68°
Lines w and v are parallel to each other.
m<1 = m<9 (corresponding angles theorem)
m<1 = 80°
m<2 + m<1 = 180° (linear pair)
m<2 + 80° = 180° (substitution)
m<2 = 180° - 80°
m<2 = 100°
m<3 = m<1 (vertical angles are congruent)
m<3 = 80°
m<4 = m<2 (vertical angles are congruent)
m<4 = 100°
m<6 + m<5 = 180° (linear pair)
m<6 + 68° = 180° (substitution)
m<6 = 180° - 68°
m<6 = 112°
m<7 = m<5 (vertical angles)
m<7 = 68°
m<8 = m<6 (vertical angles)
m<8 = 112°
m<10 = m<2 (corresponding angles)
m<10 = 100°
m<11 = m<9 (vertical angles)
m<7 = 80°
m<12 = m<10 (vertical angles)
m<12 = 100°
m<13 = m<5 (corresponding angles)
m<13 = 68°
m<14 = m<6 (corresponding angles)
m<14 = 112°
m<15 = m<13 (vertical angles)
m<15 = 68°
m<16 = m<14 (vertical angles)
m<16 = 112°
SUPER EASY
How do I rewrite x + y = -3 in slope intercept form.
Answer:
y =-x-3
Step-by-step explanation:
slope intercept/ y-intercept form is y=mx+b
you have to isolate y here
x+y=-3 subtract x from both sides
y=-x-3
What is the value of y?
solution
n/8+1/2 = -3 1/2
Answer:
n= -32
Step-by-step explanation:
what point is on the graph of f(x) =6^x
Answer:
The point (1 | 6) is on the graph.
Step-by-step explanation:
Answer:
it is 1/6
Step-by-step explanation:
if y=40 when x=16, find y when x=10.
Answer:
25
Step-by-step explanation:
Y/10 = 40/16
Y=25
what is 664,000 dived by 555,897
Answer:
I got 1.19446588127
Sound intensity, in decibels, d, can be written using a comparison factor, x, that compares sound intensity to the standard threshold of hearing. d = 10log(x) A sensor measures the sound intensity, in decibels, of an office over time. The decibel reading was consistently above 50, but never above 70. On what interval is the factor by which the office noise is related to the standard threshold of hearing? (17, 18.5) (17, 18.5] (100,000, 10,000,000] (100,000, 10,000,000)
Answer: (100,000, 10,000,000]
Step-by-step explanation:
The interval is given by ( 100,000 , 10,000,000], the correct option is C.
What is the Threshold Value ?The threshold value is the minimum value above which the desired results can be expected.
The decibel reading was consistently above 50, but never above 70.
d = 10log(x)
50 = 10log(x)
5 = log x
10⁵ = x
x > 10⁵
d = 10log(x)
70 = 10log(x)
x = 10⁷
From the given data
x ≤ 10⁷
Therefore, the interval is given by ( 100,000 , 10,000,000], the correct option is C.
To know more about Threshold value
https://brainly.com/question/13031415
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questions in photo pls help me its due tomorrow.
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{4x - 1} =32 [/tex]
[tex] {2}^{4x} . {2}^{ - 1} = {2}^{5} [/tex]
[tex] {2}^{4x} . \frac{1}{2} = {2}^{5} [/tex]
[tex] {2}^{4x} = {2}^{5} . {2}^{1} [/tex]
[tex] {2}^{4x} = {2}^{6} [/tex]
[tex]4x = 6[/tex]
[tex]x = \frac{6}{4} [/tex]
[tex]x = \frac{3}{2} [/tex]
7.)
[tex] \sqrt{x} - 3 = 7[/tex]
[tex] \sqrt{x} = 7 + 3[/tex]
[tex]( { \sqrt{x}) }^{2} = {(10)}^{2} [/tex]
X= 100
8.)
[tex]( {x + 1)}^{2} = 81[/tex]
[tex](x + 1) = \sqrt{81} [/tex]
[tex]x + 1 = \sqrt{ {9}^{2} } [/tex]
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
X=8
Hope it helps...
Gabriela Mistral was a poet, diplomat, teacher and humanitarian. Each week she worked a certain amount of days as a poet diplomat teacher and humanitarian. This ratio was one day as a poet to one day as a diplomat to three days as a teacher to two days as a humanitarian how many days must she work as a humanitarian if she works 12 days as a teacher?
Answer:
Gabriela Mistral works as a humanitarian for [tex]8[/tex] days.
Step-by-step explanation:
Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.
Ratio is [tex]1:1:3:2[/tex]
Let [tex]x[/tex] denotes total number of days Gabriela Mistral work.
As she works 12 days as a teacher,
[tex]\frac{3}{7}x=12\\ x=\frac{7}{3}(12)\\ x=28[/tex]
Total number of days [tex]=x=28[/tex]
So,
she works as a humanitarian for [tex]\frac{2}{7}x=\frac{2}{7}(28)=8[/tex] days.
if f(x) = x^3+2x^2-5, then what is f(-3)
Answer:
f(- 3) = - 14
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x), that is
f(- 3) = (- 3)³ + 2(- 3)² - 5 = - 27 + 2(9) - 5 = 27 + 18 - 5 = - 14
PLEASE HELP AND ANSWER FAST!!! :( Della has $575.38 in her checking account. What is the balance after she makes a deposit of $50.00 and a withdrawal of $85.45?
A. $539.93
B.558.45
C. 561.63
D.603.73
Answer:
A. $539.93
Step-by-step explanation:
Calculator
Answer:
a. 539.93
Step-by-step explanation:
UsaTestPrep Im smart
Help Please Due Soon! Find m
Answer:
{the question is asking to find the value of x not m}
The value of x is 9°
Step-by-step explanation:
8x-2°+47° = 12x+9°{an exterior angle formed by producing the side of triangle is equal to two non adjacent angle}
or, 8x+45° = 12x+9°
or, 8x-12x = 9°-45°
or, -4x = -36°
or, x = -36°/-4
or, x = 9°
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. a \large -4\frac{1}{4} b \large -\frac{3}{4} c -4 d \large -\frac{1}{2}
Answer:
B)[tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
We are supposed to find the difference of the fractions
a) [tex]-2\frac{1}{2}-(-1\frac{3}{4})[/tex]
[tex]=\frac{-5}{2}+\frac{7}{4}[/tex]
Using equivalent fraction
[tex]-\frac{5}{2} \times \frac{2}{2} = \frac{-10}{4}\\\Rightarrow \frac{-10}{4}+\frac{7}{4}[/tex]
Plot both fractions on number lines
So Using number line
[tex]\frac{-10}{4}+\frac{7}{4}=\frac{-5}{2}+\frac{7}{4}=\frac{-3}{4}[/tex]
So, Option B is true
What’s the sum of u and 15
Answer:
u + 15
Step-by-step explanation:
Since we don't know the value of u, we have to put the equation like this.
Hope I helped :)
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Slope interceptand standard Form of y - 4 = 3/4(x + 3)
Answer:
y= 3/4z + 25/4
Step-by-step explanation: