how many square units are in an office that is 13 units by nine units
Lie is solving the quadratic equation by completing the square.
3x2 + 18x – 8 = 0
3x2 + 18x = 8
What should Lie do next?
Write the polynomial as a binomial squared.
Factor 3 out of the variable terms.
Isolate the variable x.
Add 8 to both sides of the equation.
Answer:
Factor 3 out of the variable terms
Answer:
Factor 3 out of the variable terms.
Step-by-step explanation:
To complete the square the coefficient on the x^2 term must be 1
Therefor
Factor 3 out of the variable terms.
Solve the absolute inequality: |4x-5| >3
Answer:
x > 2 or x < 1/2
Step-by-step explanation:
|4x - 5| > 3
Case 1 Case 2
4x - 5 > 3 - (4x - 5) > 3
4x > 5 + 3 - 4x + 5 > 3
4x > 8 -4x > - 5 + 3
x > 2 -4 x > - 2
-x > -2/4 multiply by -1 to make "x" positive and
this action with change all signs :
any negative becomes positive and
> becomes <
x < 2/4
x < 1/2
when identifying the rate lf change using a graph check ___ over __
Answer: rise over run
======================================================
Explanation:
The rate of change is the same as slope. Slope is often defined as the ratio of rise over run.
In other words, slope = rise/run.
For instance, a slope of 2/3 means we go up 2 and to the right 3 units.
Another example: slope = -1/5 means we go down 1 and to the right 5.
The term "rise" indicates a change in y. The run is the change in x. If the rise is positive, then you go up. Negative rise values mean that you go down. The run always moves to the right.
A recipe needs 1/2 cup of water for every 2 cup at of sugar.if toy plan to use 8 cups of sugar,how much water will you need?
4 cups of water is your answer.
Step-by-step explanation:
Annelise buys a car that is one year old for $13600.
The value of this car has reduced by 15% of the value when it was new.
Calculate the value of the car when it was new.
Answer:
$16000Step-by-step explanation:
Initial value is x, current value is $13600, price reduction by 15%.
x - 15% = 13600x - 0.15x = 136000.85x = 13600x = 13600/0.85x = 16000Katrina wants to earn at least $600 this week in commission. What is the minimum amount she needs to sell in order to earn $600 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.
__________
Answer:
$8000
Step-by-step explanation:
For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made
If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600
Which function is graphed below?
Compare the fractions using the LCM.
1\7,2\3
Enter the correct inequality in the box.
Answer:
42
Step-by-step explanation:
1*3=3
it becomes 2,3 and 7
you will get the answer as 42
Find the value of x. Th angles on a triangle .Please explain your method.
The internal values of all triangles are worth 180°, so knowing this, just form a 1st degree equation to respond, remembering that the value 180°, will stay after the equal sign of the equation.
A)[tex]\sf x+125^{\circ}+80^{\circ}=180\\\\\\\sf x+205=180\\\\\\\sf x=180-205\\\\\\\boxed{\sf x=-25^{\circ}}[/tex]B)[tex]\sf x+68^{\circ}+318^{\circ}=180\\\\\\\sf x+386=180\\\\\\\sf x=180-386\\\\\\\boxed{\sf x=-206^{\circ}}[/tex]Okay?!Is that the right answer plzzz help mee
Answer:
You are correct
ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?
Answer:
at least 164
Step-by-step explanation:
Let the third score = x.
(138 + 208 + x)/3 ≥ 170
x + 346 ≥ 510
x ≥ 164
Answer: at least 164
Ricardo borrows $1,850 for 10 months at an interest rate of 12.25%. What amount will
he have paid back at the end of the loan period?
9514 1404 393
Answer:
$2038.85
Step-by-step explanation:
The value of the loan at that point is given by ...
A = P(1 +rt) . . . . . Principal P, rate r, time t (years)
A = $1850(1 + 0.1225·(10/12)) = $2038.85
Ricardo will have paid back $2038.85 at the end of the loan period.
_____
Additional comment
We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.
The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.
1. You have two pieces of tape of 56 metres and 56 metres in length. If you connect both pieces together end-to-end, how long is your new piece of tape?
Answer:
Step-by-step explanation:
If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces. In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m. There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.
The new tape would measure 112m after the two fragments are joined.
What is addition?Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Given:
A piece of tape 56 m long and we are to add another 56 m
Thus the sum of these two tapes is equal to 56+56=112 m
Hence, the new tape is 112m long.
Learn more about addition here:
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Which expressions are equivalent to - 8z +(-5.5) + 1.5z + 3y - 2.5?
Select all that apply.
A. -8 + 3y +6.52
ОВ. Зу- 8 - 6.5z
C.-6.52 + 3y - 8
D. -8 + 3y + (-6.52)
E. 3y + (-6.52) -5.5
Answer:
B
Step-by-step explanation:
-8z - 5.5 + 1.5z + 3y - 2.5
-6.5z + 3y - 8
Use substitution to solve the system of equations algebraically.
x² + y² = 32
y = x
One solution to the system of equations is (4,4).
The other solution to the system of equations is
Answer:
(-4,-4)
Step-by-step explanation:
Since y=x,plug in x for y in equation 2
x²+x²=32
2x²=32
x²=16
x=√16=±4
So one solution is (4,4) and another is (-4,-4)
Answer:
i really cant tell you
Step-by-step explanation:
sorry
help me please please please
Answer:(-2, -3)
Step-by-step explanation:
U do it then flip it upside down
how do we find x and y intercepts
Answer:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
Which graph represents the following equation 2x - 4y = 12
I took screen shots of my work here you go!
Which equation represents a line that is perpendicular to y=3x−4?
Answer:
- 1/3x + 2Step-by-step explanation:
Given line:
y = 3x - 4Perpendicular lines have negative-reciprocal slopes:
m₁*m₂ = - 1Since m₁ = 3, we can find m₂:
3*m₂ = - 1m₂ = - 1/3Given choices:
-1/3x + 2 or 1/3x - 4Correct choice is the first one
Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?
She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.
In a survey of 2,600 people who owned a certain type of car, 1,820 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
is/of =x/100
Who walks at a faster rate: someone who walks 60 feet in 10 sec or someone who takes 5 sec to walk 25 feet?
Answer:
60 ft in 10 seconds.
Step-by-step explanation:
Theoretically, if the 5 second dude were to walk ten seconds, they'd only walk 50. (25 x 2 = 50, therefore 60 feet in 10 seconds is faster)
Answer:
I think it's the guy who walks 60 feet in 10 seconds
Step-by-step explanation:
Since the other guy walks 25 feet in 5 seconds, we can simply double the seconds to get 10 seconds and 50 feet.
So the first guy walks 60ft/sec and the second one walks 50 ft/sec
i may be wrong but this is my best explanation. I hope it hlps
plase answer the second one
thanks
Answer:
0,01
Step-by-step explanation:
0,0001 = 1 / 10000
√0,0001
= √( 1 / 10000 )
= √1 / √10000
= 1 / 100
= 0,01
Write the equation of a line whose roots are -5 and -6
Answer:
Step-by-step explanation:
a = -5 and b = -6
x² - (a +b)x + ab = 0
x² - (-5 - 6)x + (-5)*(-6) = 0
x² - (-11)x + 30 = 0
x² + 11x + 30 = 0
Can someone help me on these two questions? NO LINKS!
Answer:
6. a 7. c
Step-by-step explanation:
6. 72 is multiple of 24 and has 18 as a factor
7. 56= 32= 88
8(7+ 4)
=) 56+ 32= 88
OR
=) 8(11)= 88
If the slope of a line is -6, will that line be steep or shallow
Answer:
shallow
Step-by-step explanation:
PLS HELP IT’S DUE TMR!!
Answer:
Use ≈ (approximately equal) sign as the scientific notation.
Step-by-step explanation:
(a) 0.001872 ≈ 0.0019
(b) 0.3411 ≈ 0.34
(c) 0.000845 ≈ 0.00085
*Zeros before non-zero numbers are not significant.
*Zeros appearing between two non-zero digits are significant.
Hope this helps!!
On the first down the team returned the ball to the 30 yard line, then they ran the 42 yard line for a gain. which number represents the change? (number line is on pic)
a. -12
b. 0
c. +4
d. +12
Hi, can someone please help me with this? I’ll give branliest if i can!
The number which represents the gain as per the question is +12. Hence, option "d" is correct.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the information given in the question,
Firstly, the team returned the ball to the 30-yard line.
Then, hey ran to the 42-yard line for a gain.
Then, the number that shows the change will be,
= 42 - 30
= +12, there is gain of +12.
To know more about arithmetic operations:
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THEN c. If a || band line c is parallel to line a, then line b and c are?
Answer: parallel
Step-by-step explanation:
For two lines to be parallel they must have the same slope.
Because a is parallel to b they must have the same slope. Let's call that slope x.
Because c is parallel to b they must have the same slope. Because the slope of b is x, the slope of c must be x.
Because the slope of both a and c are x, they must be parallel.