Answer:
x < 2
Step-by-step explanation:
Given
5(x - 2) < - 3x + 6 ← distribute parenthesis on left side
5x - 10 < - 3x + 6 ( add 3x to both sides )
8x - 10 < 6 ( add 10 to both sides )
8x < 16 ( divide both sides by 8 )
x < 2
Hey there!☺
[tex]Answer:\boxed{x<2}[/tex]
[tex]Explanation:[/tex]
Let's start by simplifying both sides of the inequality:
[tex]5x-10<-3x+6[/tex]
Now add 3x to both sides:
[tex]5x-10+3x<-3x+6+3x\\8x-10<6[/tex]
In our third step, we will add 10 to both sides:
[tex]8x-10+10<6+10\\8x<16[/tex]
In our last step, we will divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
Simplify 16/8:
[tex]\frac{16}{8}=2\\ x<2[/tex]
x<2 is your answer.
Hope this helps!☺
[tex]\text{-TestedHyperr}[/tex]
Classify by degree.
7x - 10
write a equation of the line whose slope is -1/2 and whose y-intercept is 4
Answer:
Hi there!
An equation for this is:
-1/2x +4
Step-by-step explanation:
The slope is always in front of the "x"! The y intercept is always added to the slope!
Hope this helps
Answer:
y = -1/2x +4
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -1/2x +4
The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463?
Answer:
Ten times greater.
Step-by-step explanation:
The value of 5 in 594,631 is a five hundred thousand
The value of the 5 in 859,463 is fifty thousand
Since 500,000 only has one more zero than 50,000, The 5 in 594,631 is 10 times greater than the 5 in 859,463.
Hope this helps!!!
Write the equation of a line with a slope of O and a y-intercept of -2. Do not use spaces
in your response.
================================================
Work Shown:
m = 0 is the slope
b = -2 is the y intercept
y = mx+b
y = 0x+(-2)
y = 0x-2
y = 0-2
y = -2
This line is horizontal and goes through -2 on the y axis.
Two points on this line are (0,-2) and (1,-2)
HURRY PLEASE
10. If y = 20 when x=8, what is the value of x when
y=-2?
Answer:
[tex]x = - \frac{4}{5} \\ [/tex]Step-by-step explanation:
In order to solve this question we use ratio and proportion
From the question
y = 20 when x = 8
So we have
If y is 20 when x is 8
Then when y is - 2 x is
[tex] \frac{ - 2 \times 8}{20} = - \frac{16}{20} = - \frac{4}{5} \\ [/tex]
We have the final answer as
[tex]x = - \frac{4}{5} \\ [/tex]
Hope this helps you
Q.No.4. Calculate the cube root of 64.
Answer:
[tex]\huge\boxed{\sqrt[3]{64}=4}[/tex]
Step-by-step explanation:
We know:
[tex]\sqrt{a}=b\iff b^2=a\qquad\text{for}\ a\geq0\\\\\sqrt[3]{a}=b\iff b^3=a[/tex]
We have:
[tex]\sqrt[3]{64}=4\ \text{because}\ 4^3=4\cdot4\cdot4=64[/tex]
the height of angel falls, the tallest water fall in the world is 3212 feet write this in scientific notation
Answer:
3.212*10^3
Step-by-step explanation:
you moved the decimal place 3 times
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The height of angel falls, the tallest waterfall in the world in scientific notation is 3.212 × 10³ feet.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
Given that the height of the angel falls is 3212 feet. Therefore, the height of the angel in the scientific notation is,
3212 feet
Multiply and divide the number by 1000, therefore, we can write,
= (3212/1000) × 1000 feet
= 3.212 × 1000 feet
= 3.212 × 10³ feet
Hence, the height of angel falls, the tallest waterfall in the world in scientific notation is 3.212 × 10³ feet.
Learn more about Scientific notation here:
https://brainly.com/question/1740231
#SPJ2
In the figure below,S is between Q and T and R is the midpoint of QS. If RS=4 And RT= 12 find QT
In the given figure QT is of 16 units.
What is a line segment ?A line segment has two end points unlike a line which can extend indefinitely in both the directions.
According to the given question S is between Q and T and R is the midpoint of QS. RS=4 And RT= 12 we have to find QT.
As R is the midpoint of QS It will be twice of RS which
= 8 units.
And if RS is 4 units then QR is also 4 unit as R is the midpoint.
QT = QR + RT.
QT = 4 + 12
QT = 16 units.
learn more about lines here :
https://brainly.com/question/25727583
#SPJ2
A bag contains six tiles labeled B, C, D, E, F, and G. One tile will be randomly picked.
What is the probability of picking a letter that is not a vowel?
Write your answer as a fraction in simplest form.
Answer: the probability is 5/6
Step-by-step explanation:
There is only 1 Vowel, so it’s gonna be 5/6 For a vowel to be picked.
10. Mike and Laura take out a 30-year loan of $250,000
with an interest rate of 6%. If they plan to pay it back
with monthly payments, what will be the amount of
each payment?
A) $7,761.95
C) $1,498.88
B) $2,488.76
D) $8,994.73
When distributing a negative sign in front of grouping symbols, you must multiply each term inside the grouping symbols by _____.
Answer:
A negative value or minus sign (-).
Step-by-step explanation:
A grouping symbol can be defined as a set of symbol used for organizing multiple numbers or variables in an algebraic equation.
In Mathematics, there are basically three (3) main grouping symbols and these are;
1. Parentheses ( ).
2. Braces { }.
3. Brackets [ ].
Additionally, grouping symbols are used to determine the order of operation when solving an algebraic equation.
Hence, when distributing a negative sign in front of grouping symbols, you must multiply each term inside the grouping symbols by a negative value or minus sign.
For example, given the algebraic equation X = 20 - 2(-1 + 2 - 5)
We would simplify the numbers in the parentheses (grouping symbol) by multiplying with -2;
X = 20 + 2 - 2 - 10
X = 20 - 10
X = 10
Example 2;
-(-1 - 2 + 3 - 4)
We multiply each term inside the grouping symbol by the minus sign
1 + 2 - 3 + 4 = 4.
Colin and Brian were playing darts. Colin scored 16. Brian scored 63 more than Colin. What was their combined score?
Answer:
79
Step-by-step explanation:
.) What does the term 9b represent?
0) the number of hours
Rentals
Bike
Electric scooter
Kayak
Canoc
Paddleboard
b) the cost to rent a bike
$9/h
$10%
$18/h
$20/h
$22/h
6) the cost to rent a helmet
o
the total cost, including the helmet rental
Helmet
Add $6
HELPP NOW PLSSS
Answer:
The cost to rent a bike
Step-by-step explanation:
Answer: the cost to rent a bike
Step-by-step explanation:
A car travels 276 miles in 5 hours and 45 minutes. How many miles does it travel per hour?
Sharon bought
a new coat for $145. She paid 7% sales tax on the coat. What was the total amount that Sharon paid?
Answer:
155.55
Step-by-step explanation:
total = 145*1.07 = 155.55
Givenf (x) = 2x – 10 forwhichvalueofäthat f (x) = 8?
Answers are -12, 18,6,5
Answer:
9
Step-by-step explanation:
f(x) = 2x - 10
8 = 2x - 10
18 = 2x
9 = x
Best of Luck!
Answer:
see below
Step-by-step explanation:
f (x) = 2x – 10
Let f(x) = 8
8 = 2x-10
Add 10 to each side
8+10 =2x-10+10
18 =2x
Divide by 2
18/2 = 2x/2
9 =x
If you mean
f(8) = ?
Let x=8
f(8) = 2*8-10
= 16-10
= 6
f(8) = 6
Help please. Let me know what applies.
[tex]\tt Step-by-step~explanation:[/tex]
[tex]\tt~1:[/tex]
First, let's observe the diagram. line a is parallel to line b, so that means ∠2 and ∠6 are congruent. They are corresponding angles.
[tex]\tt 2:[/tex]
If ∠2 and ∠6 measures 78º, then that means the angles that are vertical to these angles, ∠4 and ∠8, are also congruent to each other.
[tex]\large\boxed{\tt Our~final~answer:Angles~4,6,8}[/tex]
If you would like to know what the other angles' measures are, you could simply subtract 78º from 180. A straight line measures 180º.
[tex]\large\txt{\tt 180-78=102}[/tex]
[tex]\small\boxed{\tt Other~angles'~measures:~102}[/tex]
Plz help quick pls Brainly
Answer:
x is greater than or equal to -26
Step-by-step explanation:
We can use distributive property to solve the equation.
-6(x+4) in distributive property is: -6x-24
-6x-24 is less than or equal to -5x+2
+6x +6x
-24 is less than or equal to x+2
-2 -2
-26 is less than or equal to x
This means x is greater than or equal to -26
On the graph you would put a closed circle on -26 and point to the right.
Hope this helps! Good luck on your quiz!
4. Which represents the symbolic notation of I the compound statement below? "Memorial Day is in July or parallel lines intersect." A. p^g B. p^~q C. p V q D. p V~q
Answer:
C; P v q
Step-by-step explanation:
Here, we want to give the logical equivalent of the statements.
Firstly,
let p = memorial day is in July
q = parallel lines intersect
It should be noted that on logic, the term or can be represented by V
Thus, the statement here can be written as;
P V q
HELP I WILL GIVE BRAINLIEST!!
Answer:
x=40
Step-by-step explanation:
2x+7+x-10+63=180
3x=120
x=40
An SUV costs $25,535 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $32,395 and costs an average of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of the hybrid?
Answer:
137200 milesStep-by-step explanation:
let x be the no of miles
and y be the cost
cost of the first SUV
y=25535+0.18x-----1
cost of the second SUV
y=32395+0.13x------2
let us solve for x in equation 1 and 2
y=25535+0.18x-----1
y=32395+0.13x------2
subtraction 1 from
-y=-25535-0.18x
y=32395+0.13x
0=6860-0.05x
6860=0.05x
divide both sides by x
6860/0.05=x
x= 137200 miles
41- 3/4 x < 53
please help!
Answer:
x > - 16
Step-by-step explanation:
41- 3/4 x < 53
Subtract 41 from each side
41-41- 3/4 x < 53-41
-3/4x < 12
Multiply each side by -4/3, remembering to flip the inequality
-4/3 * -3/4x > 12 * -4/3
x > - 16
Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?
2
10
4
24
6
36
у
12
60
O 37
42
O 48
O 54
Answer:
42
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
1. i just took the test
We are asked what 7 would equal and the first row is 2 and 12.
you would need to see what 2 divided by 12 is.
2 divided by 12 is 6.
then you would need to see what 6x7 is.
6x7 is 42
so the answer is 42
solve the following equation: x2-7=5
Answer:
x = ±2√3
Step-by-step explanation:
Step 1: Write equation
x² - 7 = 5
Step 2: Solve for x
Add 7 to both sides: x² = 12
Square root both sides: x = ±√12
Simplify: x = ±2√3
Step 3: Check
Plug in x to verify if it's a solution.
(2√3)² - 7 = 5
4(3) - 7 = 5
12 - 7 = 5
5 = 5
(-2√3)² - 7 = 5
4(3) - 7 = 5
12 - 7 = 5
5 = 5
For which pairs of functions is (f circle g) (x)?
f (x) = x squared and g (x) = StartFraction 1 Over x EndFraction
f (x) = StartFraction 2 Over x EndFraction and g (x) = StartFraction 2 Over x EndFraction
f (x) = StartFraction x minus 2 Over 3 EndFraction and g (x) = 2 minus 3 x
f (x) = one-half x minus 2 and g (x) = one-half x + 2
Answer:
2-241x
Step-by-step explanation:
a number that is multiplied in a multiplication sentence.
a.product
b. factor
c. multiple
d.quotient
Answer:
You multiply a factor in a multiplication equation.
Take the square root of both sides to get to the solutions.
(x -8) 2=-8
Answer:
Solve x2 - 16x + 60 = -12 by completing the steps.
First, subtract
60
from each side of the equation.
Next, add
64
to each side of the equation to complete the square.
Now, write x² - 16x + 64 = -8 as
✔ (x - 8)² = -8
Take the square root of both sides to get the solutions
8
2
Step-by-step explanation:
Answer:
8 ± 2i√2
Step-by-step explanation:
(x - 8)² = -8
√(x - 8)² = √(-8)
x - 8 = ±(2i√2)
x = 8 ± 2i√2
Add. *
1) (30x^3– 49x^3+ 7x) + (50x^3– 60x^2- 75)
Please leave step by step instructions if possivle
Answer:
31x³-60x²+7x-75
Step-by-step explanation:
(30x³-49x³+7x)+(50x³-60x²-75)
(-19x³+7x)+(50x³-60x²-75)
-19x³+50x³+7x-60x²-75
31x³-60x²+7x-75
What is the equation of a line perpendicular to y=14x−3 and passes through the point (−2, 4)?
Answer:
they answer would be y = 3x + 2
Step-by-step explanation:
Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
102=v-66 its addition and subtraction one step practice
Answer:To subtract 7 from 102, you have to regroup. You subtract 2 from 100, and 2 from 7, so it is 100-5. 100-5 is 95. The answer is 95. If you don't understand, tell me in the comments. This is just one method of subtracting.
Step-by-step explanation:
