Answer:
x < -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5x + 12 < 2
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10[Division Property of Equality] Divide 5 on both sides: x < -2Answer:
x < - 2
Step-by-step explanation:
5x + 12 < 2 ( subtract 12 from both sides )
5x < - 10 ( divide both sides by 5 )
x < - 2
One leg of a 45°-45°-90° triangle is 9. Find the lengths of the other sides.
Answer:
9, 9√2
Step-by-step explanation:
The ratios of side lengths in a 45°-45°-90° triangle are ...
1 : 1 : √2
The other leg is the same as the first, and the hypotenuse is √2 times that.
The other sides are 9 and 9√2.
Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept
Answer:
[tex]y=\frac{4}{5}x+4[/tex]
Step-by-step explanation:
You'll need to get this equation in slope-intercept form by solving for y. I do a little extra here to get it in the correct form, but I think it's pretty clear. Let me know if I need to clarify.
[tex]\\\\\frac{8x}{5}-2y=-8\\\\-2y=-\frac{8x}{5}-8\\\\2y=\frac{8x}{5}+8\\\\y=\frac{4}{5}x+4[/tex]
Once it's in slope-intercept form, both the slope and the y-intercept are readily available so you can easily graph it. I graphed both of them in the attached image so you can see that they are the same line.
hey guys I could really use some help on this.
Answer:
y = - [tex]\frac{10}{3}[/tex] x - 23
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )
m = [tex]\frac{-3-7}{-6-(-9)}[/tex] = [tex]\frac{-10}{-6+9}[/tex] = [tex]\frac{-10}{3}[/tex] = - [tex]\frac{10}{3}[/tex] , then
y = - [tex]\frac{10}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 3 ) , then
- 3 = 20 + c ⇒ c = - 3 - 20 = - 23
y = - [tex]\frac{10}{3}[/tex] x - 23 ← equation of line
Answer:
y= -10x/3 + 1
Step-by-step explanation:
gradient of a line= (Y2-Y1)/(X2-X1)
= (-3-7)/[-6-(-9)]
=-10/3
equation of a line
(Y-Y1)/(X-X1)= gradient
(Y-7)/(X+9)= -10/3
3(Y-7)= -1d0(X+9)
3y-21= -10x -19
3y= -10x + 3
dividing both sides by 3
y= -10x/3 + 1
Yuan wrote 17 letters to friends each month for x months in a row. Write an expression to show how many total letters Yuan wrote.
What is the equation of a line written in point-slope form that passes through the point (2,-5) and is parallel to the line represented by 3x -2y = -14?
Answer:
y=3/2x-8
Step-by-step explanation:
The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.
Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.
3x-2y=-14
2y=3x+14
divide both sides by 2 to solve for y.
y=(3x+14)/2
y=3/2x+7
slope m =3/2
Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1
y--5=3/2(x-2)
y+5= 3/2x-3
subtract 5 from both sides to solve the equation for y
y=3/2x-8
help
Pls no joking around
Answer:
I think like expressions you use x or y or such many variables. you use - or + too. like (x+2)y there are parentheses too.
What is is b? 2-b/3 =-5/2
Please explain thoroughly
Answer:
I'm not sure you mean 2-(b/3) = -5/2 or (2-b)/3 = -5/2
Step-by-step explanation:
if
2-(b/3) = -5/2
12-2b = -15
12+15 = 2b
27 = 2b
27/2 = b
else
(2-b)/3 = -5/2
2(2-b) = -5×3
4-2b = -15
4+15 = 2b
19 = 2b
19/2 = b
45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435
Answer:d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product
Answer:
same: 30×40 = 1200different: 20×50 = 1000Step-by-step explanation:
Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product
Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product
__
Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product
Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point
_____
For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.
Example: neither 2 nor 5 has a factor of 10, but their product does.
__
For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)
_____
Additional comment
Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.
If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х
Answer:
x.
Step-by-step explanation:
f(g(x)) = x.
Find the area and perimeter of the shape given below.
Answer:
perimeter: 14+5+6+6+8+10=59
area: 14x5x6x10=4200
perimeter means adding all the sides including the ones that arent labeled, and the area is multiplying all the numbers included.
PLEASE HELP ASAP
PLZPLZPLZ
Solve for x:
4x-3Divided by 2 =5/3
Answer:
x=19/12
Step-by-step explanation:
(4x-3)/2 = 5/3
4x-3 = 10/3
3 = 9/3
4x = 10/3 + 9/3 = 19/3
x = 19/12
Hey there!
4x - 3/2 = 5/3
ADD 3/2 to BOTH SIDES
4x - 3/2 + 3/2 = 5/3 + 3/2
CANCEL out: -3/2 + 3/2 because it gives you 1
KEEP: 5/3 + 3/2 because it helps solve for the x-value.
NEW EQUATION: 4x = 5/3 + 3/2
SIMPLIFY IT!
4x = 19/6
DIVIDE 4 to BOTH SIDES
4x ÷ 4 = 19/6 ÷ 4
CANCEL out: 4 ÷ 4 because it gives you 1
KEEP: 19/6 ÷ 4 because it helps solve for the x-value
NEW EQUATION: x = 19/6 ÷ 4
SIMPLIFY IT!
x = 19/24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction
she drove for 4 hours
Answer:
the person above me is wrong its not an option for me ;-;
Step-by-step explanation:
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Answer:
See below
Step-by-step explanation:
W (-1, 0) W' (-2, 0)
X (2, 2) X' (4, 4)
Y (2, -1) Y' (4, -2)
Plot these 3 points on the graph.
i'd appreciate someones help !!!
Solve for angles x, y, and z. In the answer choices, the first number is for angle x. The second number is for angle y.
The third number is for angle z.
A)
65, 65, 65
B)
65, 115,65
C)
115, 65, 115
D)
115, 115, 115
I think its C sorry if its wrong
Help , please ?? If you can thank you ..4 more
[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]
Which of the following is a solution of x2+5x=-2
A.5+ √33
———-
2
B. 5+ √17
———-
2
C.-5+ √33
———-
2
D. 5+ √17
———-
2
x^2 + 5x = -2
x^2 + 5x + 2 = 0
We need to use the quadratic formula.
In the formula, a = 1, b = 5 and c = 2.
See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.
2 answers each for 8-15
Answer:
luh jusko kalisod ba search mo yan sa goohle
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
[tex] \frac{vw}{gf} = \frac{uv}{hg} [/tex]
[tex] \frac{72}{132} = \frac{6x + 12}{143} [/tex]
[tex] \frac{6}{11} = \frac{6x + 12}{143} [/tex]
Now we cross multiply
6×143=11(6x+12)
858=66x+132
858-132=66x
726=66x
x=11
Help Meeeeee again plzzzzzzzzz
Answer:
53
Step-by-step explanation:
pls give me brainlest
ratio
a. L
b. bozo
d. your life is bad
c. ratio again
Answer:
d
Step-by-step explanation:
what is 1800/1254
[tex]1800 \div 1254[/tex]
What is 4/5 - 1/4 in the simplest form
[tex]\cfrac{\underline{4}}{5}-\cfrac{1}{4}\implies \cfrac{(4)(\underline{4})~~ - ~~(5)(1)}{\underset{\textit{using this LCD}}{20}}\implies \cfrac{16-5}{20}\implies \cfrac{11}{20}[/tex]
[(1 1/5−2/5)⋅(−3/4)3]÷(−9)
Given that:
[{1(1/5)−(2/5)⋅(−3/4)3}]÷(−9)
= [{(5+1)/5 - (2/5).(-3/4)3}]÷(-9)
= [{(6/5) - (2/5).(-3/4)3}]÷(-9)
= [{(6/5) - (2/5).(-3/4)3}]÷(-9)
= [{(6/5) - (2/5).(-3*3)/4}]÷(-9)
= [{(6/5) - (2/5) . (-9/4)}]÷(-9)
= [{(6/5) - (2/5) × (-9/4)}]÷(-9)
= [{{6/5) - {{2*(-9)}/{5*4}]}]÷(-9)
= [{(6/5) - {-9/(5*2)}}]÷(-9)
= [{(6/5) - (-9/10)}]÷(-9)
Take the LCM of 5 & 10 is 10.
= [{(6*2 + 9*1)/10}]÷(-9)
= [{(12+9)/10}]÷(-9)
= [{-(21/10)}]÷(-9)
= -(21/10) ÷ (-9)/1
= -(21/10) × (1/9)
= {(-21*1)/(10*9)]
= {-21/90)
= {(-21÷3)/(90÷3)}
= -9/30
= {(-9÷3)/(30÷3)}
= (-3/10) = -3/10 Ans.
ivan earns $8 each time he walks his neighbors dog.He already walked the dog 5 times
Answer:
8 x 5..
Step-by-step explanation:
45$
Answer:
SO if you were to find how much Ivan make
So 8 dollars each time he walks his neighbors dog.
ANd already 5 times.
So we can do 8*5=40
$40 earned
helpppppppppppp plzzzzzzzzzzzzz
Answer: It is C
Step-by-step explanation:
Please help me with equation and more points for you if you can help me with how to approach these types of questions in the future, thanks!
Consider the following formula:
T = 4S – 1
Which of the following statements is true for this formula?
A. If S is greater than 0.5, T is positive.
B. If S is less than 1, T is negative.
C. If S is less than -0.25, T is positive.
D. If S is less than 0.25, T is positive.
A. If S is greater than 0.5, T is positive.
The others are false
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 Seconds.
Step-by-step explanation:
The answer is 217 seconds because 60x3+37=217.
work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm
Answer:
1231.50432021 cm³
Step-by-step explanation:
Use the formula:
[tex]\frac{1}{3} \pi r^{2} h[/tex]
And replace known values:
[tex]\frac{1}{3} \pi (7^{2})(24)[/tex]
Aaaand simplify:
[tex]\frac{1}{3}*1176 \pi[/tex]
Which gives approximately:
[tex]1231.50432021[/tex]
And don't forget to put the unit (cm³)!
Answer:
1230
Step-by-step explanation:
1/3*pi*7^2*24
1/3*pi*49*24
=1230