| 4x-13 | = 5x+4
Solve
Answer:
x = 1
Step-by-step explanation:
The absolute value always gives a positive value. However, the expression inside can be positive or negative , so
4x - 13 = 5x + 4 ( subtract 4x from both sides )
- 13 = x + 4 ( subtract 4 from both sides )
- 17 = x
OR
- (4x - 13) = 5x + 4 , simplify left side
- 4x + 13 = 5x + 4 ( subtract 5x from both sides )
- 9x + 13 = 4 ( subtract 13 from both sides )
- 9x = - 9 ( divide both sides by - 9 )
x = 1
As a check
Substitute these values into the equation and if both sides are equal then they are solutions.
x = - 17
left side = | 4(- 17) - 13 | = | - 68 - 13 | = | - 81 | = 81
right side = 5(- 17) + 4 = - 85 + 4 = - 81 ≠ 81
Then x = - 17 is an extraneous solution
x = 1
left side = | 4(1) - 13 | = | 4 - 13 | = | - 9 | = 9
right side = 5(1) + 4 = 5 + 4 = 9
Then solution is x = 1
Solve algebraically for all values of x:
8x^4-70x^3-18x^2
Answer:
x= 0
x= 9
x= -1/4
Step-by-step explanation:
(look at the pic I posted)
[tex]\sf x-5=16[/tex]
Answer:
x=21
Step-by-step explanation:
[tex]x-5=16[/tex]
[tex]x-5+5=16+5[/tex] (Add 5 to bth sides)
[tex]x=21[/tex]
Can someone help me??
Answer:
it would be 60
Step-by-step explanation:
the angle b would be 40 since the one next to it is 140 and then 80 and 60 make 120 and then 180 - 120 is 60 for your answer
v = u + wz, make z the subject
find the square root of 20 upon 121
Answer:
heres the square root of 20 4.47214 but i dont know what else to do for this answer. (sorry)
Step-by-step explanation:
√20 = √(4 * 5) = √4 * √5 = 2√5 ≈ 4.47214
A cube has six sides that are numbered 1 to 6. The sides numbered 1, 3, and 5 are yellow, and the sides numbered 2, 4,
and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?
Explanation:
The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.
express each of the following rational as adecimal 3/25
Answer:
3/25 as a decimal is 0.12
Step-by-step explanation:
What should be done first to evaluate the expression?9 - 4 ÷ 5 + 3 × 6
ANSWER:
24
STEP- BY-STEP-EXPLANATION:
•Group into bodmas
•9-4=5(5+3×6)
5÷5+3×6
1+3×6
4×6=24
Can someone help me with this thank you
Answer:
4b
Step-by-step explanation:
when u add you don't add the exponents of the variable.
when you multiy you add the exponents and put the variable. it would be 4b^4 if you were multiplying but ur adding
The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?
a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm
Answer:
12cm
Step-by-step explanation:
h = 2b + 4
Area = 168 cm²
b = ?
Area = b*h / 2
168 = b (2b + 4) / 2
168 = 2b² + 4b/ 2
168 = b² + 2b
b² + 2b - 168 = 0
(b + 14) (b - 12) = 0
b = -14
b = 12
The base of a triangle cannot be -ve. So b = 12cm
please solve the equation and describe what mistake asif did
Answer:
1/2
Step-by-step explanation:
8×+1=5
8×=5-1
8×=4
×=4/8=1/2
The ratio of men to women working for a company is 6 to 5 . If there are 65 women working for the company, what is the total number of employees?
Step-by-step explanation:
[tex]\frac{men}{women} =\frac{6}{5}[/tex]
If there are 5 women = 6 men
If there are 5(13) women = 6(13) men
If there are 65 women = 78 men
So there are 65 + 78 = 143 employees.
please give me a brainliest answer
Help please.............................................................
Answer:
the third one
Step-by-step explanation:
The line passes through the point
easy one - giving brainly if correct!
Answer:
option 4 is the right answer
Answer:
The last option is right
derivation of trigonometric identities (all 3).
Answer:
Sine, Cosine and Tangent.
Step-by-step explanation:
These are the 3 basic trigonometric identities.
If you plotted the points in the table and connected
them in order with a smooth curve, what shape
would it be?
a line
a U shape
a semicircle
Answer:
U shaped.
Step-by-step explanation:
When x = 0 , f(x) = 6
when x =1 yf(x) = 0
when x = 2 f(x) = -2
x = 3 f(x) = 0
x = 4 f(x) = 6.
So the graphs falls from the left and rises to the right in the form of a U.
You can draw a rough graph to confirm this.
Answer:
u Shaped
Step-by-step explanation:
Anna Page, a teacher, earns $1.320 semimonthly. If the school's insurance plan costs a total of
$2,868 and it pays 75 percent of the cost, how much is deducted from each of Page's
paychecks?
Do Hors senderized Meta RecticeMelvin divers, a traveling salesman, has company medical
this
insurance as well as travel insurance. The company he works for pays 60 percent of the
medical insurance and 90 percent of the travel insurance. If the medical insurance has an
annual cost of $3,500 and the travel insurance costs $1,200 per year, what total amount is
deducted from his weekly paycheck for insurance?
A. $2923 B.-561.15 G365 D. 59.04
(a) The amount that is deducted from each of Page's paychecks semimonthly is $717.
(b) The amount deducted per week is option A, $29.23.
(a) Given that:
The amount earned by Page semimonthly = $1320
Total cost for the insurance plan = $2868
The school pays 75 per cent of the cost.
The percentage of the insurance cost that Page has to pay = 100% - 75% = 25%.
The amount deducted from the paycheck of Page is:
A = 25% × $2868
= $717
(b) Given that:
The annual cost of medical insurance = $3500
The percentage of this insurance he has to pay = 100% - 60% = 40%.
Annual deduction from his paycheck = 40% × 3500
= $1400
The annual cost of travel insurance = $1200
The percentage of this insurance he has to pay = 100% - 90% = 10%.
Annual deduction from his paycheck = 10% × 1200
= $120
Total amount deducted per year = $1400 + $120
= $1520
Number of weeks in a year = 52 weeks
The amount deducted per week = [tex]\frac{1520}{52}[/tex]
= [tex]$29.23[/tex]
Hence, the correct option is A. $29.23.
Learn more about Percentage here :
https://brainly.com/question/14953910
#SPJ7
i am never able to do these, their so confusing yet SO easy- please help!
Answer:
a) independent: area to be painted in sq ft
dependent: amount of paint needed in gallons
b) independent: amount of milligrams
dependent: amount of sleep
Step-by-step explanation:
Easy tip to remember that is almost always right:
Your X variable is always independent, and your Y variable is always dependent.
If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"
Which variable depends on your other variable? Would help you find your dependent variable.
It makes sense that, the number of paint you need depends on how much sq ft you are painting.
Answer:
a) Independent variable: x (area to be painted)
Dependent variable: y (amount of paint needed)
b) Independent variable: x (amount of medication)
Dependent variable: y (amount of sleep)
Step-by-step explanation:
Independent variables are variables that do not depend on other variables to determine their values.
Dependent variables are variables that depend on other variables to determine their values.
A store had 2 BLUE chairs for $22.78 or 6 RED chairs for $67.80.
Type in the rate for each color of chairs below. blue $_______ Red $_______
Which color chair has a lower unit price? ________
Answer:
Blue chairs
Step-by-step explanation:
To get the unit rate of red chairs, you simply divide 22.78/2, which equals $11.39
So the unit rate of RED chairs is $11.39
To get the unit rate of the blue chairs, you simply divide 67.80/6 which equals $11.30
So the unit rate of BLUE chairs is $11.30
Unit rate is simply the cost of one item (in this case chairs) the unit rate stays the same. If we flipped the operation on blue chairs and did 11.30*6, it equals $67.80. The same goes for the red chairs, if we did 11.39*2 it equals $22.78.
Hope this helps!
Which is greater 1.44 or 1.2544
Answer:
1.44
Step-by-step explanation:
Answer:
1.2544
Step-by-step explanation:
It is closer to 1 than the latter.
A car dealership increased the price of a certain car by 11%. The original price was $45,400.
Answer:
$49,527.27273 or $49,527
Step-by-step explanation:
45,000/11
$4,127.272727 or $4,127
$45,400 + $4,127
$49,527
Find the missing length to the nearest tenth. Look at the shape.
Answer: [tex]4\sqrt{5}[/tex]/9.0
Step-by-step explanation:
Simple way: Pythagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
C being hypotenuse. A and B are bases that are interchangeable.
In this question, you are missing the hypotenuse.
a= 8, b=4 c=?
[tex]8^{2}+4^{2}=c^{2}[/tex]
[tex]64+16=c^{2}[/tex]
To get rid of [tex]c^{2}[/tex]. Square both sides.
[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]
[tex]\sqrt{80}=c[/tex]
Simplify [tex]\sqrt{80}[/tex]
[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]
or 9.0
answer this pleaseeeeee ill give brainliest What is an equation of the line that passes through the points (-6, 3) and (-5, 2)?
Answer:
y-3=-1(x+6)
Step-by-step explanation:
I gotchu
brainliest tho?
help me pls iam confused
Answer:
z=9.6
Step-by-step explanation:
Because you know 17 is one of the values in the model, you do:
65-17=48
Then, because you have 5 z values, you do:
48/5=9.6
z=9.6
Kristal was writing 5,060 in scientific notation. She said that it was 5.6 x 10^3 do you agree or disagree
Answer:
I disagree
Step-by-step explanation:
It is 5.06 x 10^3
A linear function has a slope of 8/3 and passes through the point (0,5). What is the equation of the line?
This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.
Slope-Intercept Form: y = mx + b
---m is the slope
---b is the y-intercept
y = 8/3x + 5
Hope this helps!! :)
y = 8/3x + 5
hope this helps !! :)
can someone please help me with this
Answer:
3. How many faces do each of the following have?
cube - 6 facessquare pyramid - 5 facestriangular pyramid - 4 facespentagonal pyramid - 6 facesHope this helps!
Lisa baked d cookies. Her family ate 20 of them. Using d, write an expression for the number of cookies that remained.
Answer:
d - 20 = r
r = remaining amount
Answer:
l=d-20
Step-by-step explanation:
use l for leftover cookies.
l=d-20
Hope this helps!
I need help pleaseeeee
Answer:
b
Step-by-step explanation:
5 5/16
Answer:
5 and 5/16
Step-by-step explanation: