This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.
Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.
2e - 3(2e + 3) = 3e + 5
What is e?
[tex]\boxed{e\:=\:-2.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2e - 3(2e + 3) = 3e + 5 \\ ⇢2e - 6e - 9 = 3e + 5 \\ ⇢ - 4e - 3e \: = 5 + 9 \\ ⇢ - 7e = 14 \\ ⇢e = \frac{14}{ - 7} \\ ⇢e = - 2[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex]2e - 6e - 9 = 3e + 5 \\⇢2 \times - 2 - 6 \times - 2 - 9 = 3 \times - 2 + 5 \\ ⇢ - 4 + 12 - 9 = - 6 + 5 \\ ⇢12 - 13 = - 1 \\ ⇢ - 1 = - 1 \\ ⇢L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find missing side
help quick pls
Answer:
7m
Step-by-step explanation:
18/6 = 3
24/8 = 3
21/x = 3
21/3 = 7
x = 7
12 * 4 ÷ 6x(-8)
pls answer this question
Answer:
-64
Step-by-step explanation:
it's -64 the calculator works with the problem
solve everything for brainiest
Answer:
1. [tex]a = 8[/tex]
2. [tex]b = \frac{1}{8}[/tex]
3. [tex]c = 2 \frac{3}{5}[/tex]
4. [tex]d = \frac{13}{50}[/tex]
Step-by-step explanation:
2. Which of the following is true of liquids? * AThey take on the shape of their container. b.Their shape does not change. C.Their particles are widely spread out. D.Their particles move very rapidly.
Answer:
A
Step-by-step explanation:
If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)
Answer:
6
Step-by-step explanation:
Martha bought a 0.45-kilogram bottle of spice. She uses 60 grams a week. Is one bottle of spice enough for 9 weeks? Explain.
Answer: No.
Step-by-step explanation:
The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.
Answer:
No
Step-by-step explanation:
Half of a kilogram or 0.5 is 500 grams.
The total grams for nine weeks (60 x 9) is 540
Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.
Martha would need a 0.54 kilogram bottle to have the right amount.
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
21 x 5/7 anybody know please?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.
which M.A.D (mean absolute deviation) would show the most variability
a- .5
b- 1.5
c- 1
d- 2
What is the angle of elevation to the top of a 45 foot building from 85 feet away?
Round your answer to the nearest tenth.
•31.9°
•58.1°
•27.9°
•62.1°
Answer:
58.1
Step-by-step explanation:
what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
Answer:
8π/5
Step-by-step explanation:
Length of an arc, L
L = θ / 360° * (2πr)
r = Radius = 4 ; θ = 72
Hence,
L = 72/360 * (2π4)
L = 1/5 * 8π
L = 8π/5
If anyone can help, it’d be appreciated! I’m so confused
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
C = pi times 2
C = pi times 4
C = StartFraction pi times 4 over 2 EndFraction
C = StartFraction pi times 4 over 4 EndFraction
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
Determine whether the following system is consistent or inconsistent and if it is independent or dependent.
Y=2x-3 and 2x-2y=2
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is consistent and independent.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
Which one
18ft
26ft
70ft
96ft
Answer:
c. 70ft²
Step-by-step explanation:
Area of wall needed to be painted
= (12×8) - (2×2×2) - (3×6)
= 96 - 8 - 18
= 70ft²
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
What is the equivalent to 2 to the 4th power
Answer:
4 to the 2nd power is the equivalent to 2 to the 4th power
Step-by-step explanation:
2⁴ = 16 = 4²
Answer:
16
Step-by-step explanation:
2*2*2*2= 16
Find the diameter and radius of the circle given the circumference.
C = 81.3 cm
d =
r=
Word Bank:
32.18
25.88
16.09 20.32
12.94 40.65
C=2 pie r
81.3/2pie=r
R=12.94
D=2r
D= 25.88
6x - 4 -2x + 5 = 13 answer this question
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]6x + 1 - 2x = 13[/tex]
[tex]4x+1 = 13[/tex]
[tex]4x+1-1 = 13-1[/tex]
[tex]4x = 12[/tex]
[tex]\frac{4x}{4} = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
6x-4-2x+5=13 (simplify)
4x+1=13 (4x+1 - 1 ; 13-1)
4x=12 (4x/4 ; 12/4)
x=3
P(C)= 0.02. What is the complement of P(C)?
Answer:
P'(C) = 0.98
Step-by-step explanation:
Given that,
P(C) = 0.02 (The probability of getting C)
We need to find the complement of P(C) i.e. P'(C).
We know that,
P(C)+P'(C)=1
P'(C) = 1-P(C)
= 1-0.02
= 0.98
So, the complement of P(C) is equal to 0.98.
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
I don’t understand this so can anyone help with this!?
A regression analysis involving one independent variable and one dependent variable is referred to as
Answer: Simple regression
Step-by-step explanation:
A regression analysis that involves one independent variable and one dependent variable is called the simple regression.
The Simple Regression Analysis shows the relationship that exist between the dependent variable which is the value that's to be predicted and the independent variable. The dependent variable depends on the independent variable
(x−4)2+y2=64
(
x
−
4
)
2
+
y
2
=
64
Which point is on the circle?
Answer:
(12, 0)
Step-by-step explanation:
The centre of the circle is at (4, 0) and the radius = √64 = 8.
So one point on the circle is at ((4 + 8), 0) = (12,0).
ABCD ~ EFGH
С
B
140°
G
3
50°
4.5
2
110°
DE
х
A
2.4
H н.
x = [?]
Enter your answer in decimal form.
Enter
Answer:
x = 3.6
Step-by-step explanation:
Since ABCD ~ EFGH, therefore:
AB/EF = AD/EH
AB = 3
EF = 2
AD = x
EH = 2.4
Plug in the values into the equation:
3/2 = x/2.4
Cross multiply
3*2.4 = 2x
7.2 = 2x
Divide both sides by 2
7.2/2 = x
3.6 = x
x = 3.6
Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?
Answer:
8.4%
Step-by-step explanation:
let x = interest rate
55,000(1 + x)^16 = 200,000
divide both sides by 55,000
(1 + x)^16 = 3.636
find the invese of 16
1 + x = 1.084
x = 0.084
x = 8.4