Answer:
(f - g)(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 2
g(x) = x + 1
Step 2: Find
Find (f - g)(x)
Substitute: (f - g)(x) = 4x - 2 - (x + 1)Distribute -1: (f - g)(x) = 4x - 2 - x - 1Combine like terms: (f - g)(x) = 3x - 3Find (f - g)(3)
Substitute: (f - g)(3) = 3(3) - 3Multiply: (f - g)(3) = 9 - 3Subtract: (f - g)(3) = 6Bernard and Alex get 15% commission on everything they sell. Last month Bernard trained Alex who is new, so Bernard will also receive half of all Alex's commissions. If Bernard's sales were $35,750 and Alex's sales were $21,300 last month, how much will Bernard make in commissions?
Answer:
6960
Step-by-step explanation:
A bus traveled on a level road for 2 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on level road of the entire trip was 310 miles
Answer:
The average speed on level road is 65 mph
Step-by-step explanation:
Let the speed on the winding road be x mph
So the speed on the straight road will be x +20 mph
Mathematically, distance = speed * time
Distance on level road will be;
(x + 20)2
Distance on winding road will be;
x* 4 = 4x
Thus, we have;
2(x + 20) + 4x = 310
2x + 40 + 4x = 310
6x + 40 = 310
6x = 310 - 40
6x = 270
x = 270/6
x = 45 mph
The average speed on the level road is x + 20
That will be 45 + 20 = 65 mph
45/43 as a percentage rounded to the nearest tenth?
Answer:
104.65116279%
Step-by-step explanation:
Answer:
104.7 % to the nearest tenth.
Step-by-step explanation:
Multiply the fraction by 100:
= (45*100)/43
= 104.651.
What is the value of 3 five dollar bills and 3 ten dollar bills?
Can someone help me with this please
Answer:
$45
Step-by-step explanation:
Kenny and Roger are having a debate figure out how to solve 5÷2/3. Can you says, All you have to do to solve is turned into a multiplication statement: 5×2/3 equals 10 over three, or 3 1/3". Roger says, "The answer is 7 1/2 because the equation should be 5×3/2.
Answer:
the correct answer is 10 over three or 3 1/3
Step-by-step explanation:
U just multiply 5 by 2/3 and u get 3 1/3 :)
Which right triangle has a perimeter that is an irrational number
Answer:
Step-by-step explanation:
Therefore, the set of numbers can be measures of a triangle. ... a triangle with the given measures will be a right triangle. ... The perimeter is the sum of the lengths of the three sides. ... an area of 2 square units, the irrational number √2 is.
You have 2 Fractions with denominators 4 and 5. What number should you use as the least common denominator if you want to add the
Answer:
20 (this is the lowest common denominator)
HELP PLEASE I ONLY HAVE A FEW MINS
Answer:option D for the first one
Step-by-step explanation:
It adds up to what they bought
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
Answer: Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
The options are:
a. Very likely; recurring debt is less than what is allowed.
b. Somewhat likely; recurring debt is equal to what is allowed.
c. Not likely; recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
Annual salary = $37,580
Car loan payment annually = $265 × 12 = $3180
Annual student loan= $120 × 12 = $1440
Annual loan payment will be:
= $3180 + $1440
= $4620
Based on the above, Mandy is already paying 12.3% (4620 / 37580)× 100 as loan every month. Coupled with the fact that he'll still have some amount to pay as loan every month, he won't be given as the recurring loan is higher than what will be allowed.
Answer:
c. Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
got it right
A pediatrician prescribes an infant patient 2.5 mL of Vistaril bid for 10 days. The label
on the medication indicates that the bottle contains 25mg/5mL of the oral suspension.
How many teaspoons full should the infant receive daily?
Answer: 1 teaspoon
Step-by-step explanation:
The calculation on the number of teaspoons full that the infant should receive daily should be:
Ordered dose = 2.5 ml bid and this should be given twice a day.
Since it's take twice, the total dose for the day will be:
= 2.5 × 2
= 5.0ml
Since 1 teaspoon is equal to 5ml, it means that the teaspoon that the infant should receive daily is 1 teaspoon.
To estimate μ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sample of 400 full professors. The sample mean is ¯x = $73,220 and the sample standard deviation is s = $4400. A 99% confidence interval for μ is:A.) 73220 ± 11440B.) 73220 ± 577C.) 73220 ± 431D.) 73220 ± 28.6
Answer:
73220±566.72Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = xbar ± z*s/√n
xbar is the sample mean = $73,220
z is the z score at 99% CI = 2.576
s is the standard deviation = $4400
n is the sample size = 400
Substitute the given values into the formula;
CI = 73,220 ± 2.576*4400/√400
CI = 73,220 ± 2.576*4400/20
CI = 73,220± (2.576*220)
CI = 73220±566.72
Hence a 99% confidence interval for μ is 73220±566.72
Dilate a square with vertices (0,0). (0,4). (4,4), and (4,0) using the scale factor k=0.5. What is the value of the ratio (new to original) of the
perimeters? the areas?
The ratio of the perimeters is
The ratio of the areas is
Perimeter: 1\2
Area: 1\4
2.
The change, in yards, in a football team's position on the field for each of their last four plays is
shown below.
-4, 7, -7,0
Which list correctly compares the changes, in yards, in the football team's position on the field?
A. -7<-4< 0 < 7
B. -4 <-7 <0 <7
C. 0<-7<-4 <7
D. 0<-4 <-7<7
Answer:
[tex]-7 < -4 < 0 < 7[/tex]
Step-by-step explanation:
Given
Change: -4, 7, -7 and 0
Required
Compare them
From the list of given options, we can observe that the inequality < is used in all options.
This implies that we arrange from least to highest
The least is -7
Then, -4
Then 0
And lastly, 7
So, we have:
[tex]-7 < -4 < 0 < 7[/tex]
Answer: is it –7<–4<0<7
) Encuentra dos números consecutivos cuya suma sea 57.
Answer:
k
Step-by-step explanation:
k
25 yd
22 yd
The height is approximately
yards. (Round to the nearest tenth.)
Answer:
30 and 20
Step-by-step explanation:
16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth
Answer:
21
Step-by-step explanation:
I believe this because when you add it all together you get 20.77
A man bought 20 dozens of eggs at 90.00 Ghana cedies a dozen and sold them at 1.20 Ghana cedies a dozen. Find his gain percent
Answer:
33.33%
Step-by-step explanation:
Given that CP for 20dozen = 20×90
= 1800
SP = 20×120
= 2400
Gain % = (Gain / CP) ×100
Gain = SP-CP
So is the selling price
Cp is the cost price
Hence Gain = 2400-1800
Gain = 600
Gain% = 600/1800 ×100/1
= 0.333×100/1
= 33.33%
Hence his percentage gain will be 33.33%
Since the question stated that percentage gain is to be calculated, I believe the sell price should be higher than the cost price. Hence 1.20 Cedis would not work so I used 120 Cedis instead. Thanks
Help please I’ll give brainlist
Answer:
easy
Step-by-step explanation:
the 1stone goes on the 1st one
the 4th ( on the side) one is for the 2nd one
the 5th one (on the side) is for the thrid one
and that goes for
change
Answer:
The hat is
Change: $5 increase
Proportion: 5/20= x/100
The shirt is
Change: $5 decrease
Proportion: 5/35= x/100
The shoe is:
Change: $10 increase
Proportion: 10/25= x/100
Step-by-step explanation:
Step 3 out of 5:
Multiply
7/3 times 3/2=
7/3 times 1/2=
Answer:
Input Data :
Fraction A = 8383
Fraction B = 7272
Objective :
Find the product of fractions?
Formula :
Solution :
83×7283×72 = ?
Mutiply both numerators & denominators
83×7283×72= 8×73×28×73×2 = 566566
Simplify above fraction 566566
Common divisor of (56, 6) is 2
Divide both numerator & denominator by gcd value 2
566=56÷26÷2=283566=56÷26÷2=283
83×72=283
A product code consists of four letters followed by five digits. Only the letters X, Y, and Z can be used ( and any of the digits 0,1,2,3,4,5,6,7,8,9 can be used). For example, XYXZ31513, ZYZZ90654, YYYY44444 are possible product codes.
If one such product code is chosen at random, what is the probability it includes the letter Y?
Answer:
[tex]\frac{49}{81}[/tex], 60.494%
Step-by-step explanation:
I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.
We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.
_ _ _ _ _ _ _ _ _
For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot
so
3*3*3*3 * 10*10*10*10*10
= 81*100000
= 8100000
The number of Y's will never affect the number of permutations of the numbers.
So:
For 1 y, we have
Y _ _ _ * 10*10*10*10*10
But we also have
_ Y _ _
_ _ Y _
and
_ _ _ Y
So we can multiply the number we get in one calculation by 4
4 *
Y _ _ _ * 10*10*10*10*10
2*2*2 * 10*10*10*10*10
= 800000 * 4 = 3200000
For 2 y's, we have
YY _ _
_ YY _
__ YY
3*
YY 2*2 * 10^5
4 * 100000
400000 * 3 = 1200000
For 3 y's, we have
YYY _
_ YYY
2 *
YYY 2 * 10^5
200000 * 2
= 400000
For 4 y's, we have
YYYY * 10^5
100000
Now we can add them all up and divide it by our original number 8100000
[tex]\frac{100000 + 400000 + 1200000 + 3200000}{8100000} = \frac{49}{81}[/tex]
Mia has 12 boxes of cookies. Each box contains 36 cookies. she has another 258 cookies in the pantry. How many cookies does she have in all?
690
12×36 + 258 = 690 For extending to 20 characters
Which system of equations can be used to find the roots of the equation 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6 x = 5 x cubed minus 2 x?
StartLayout Enlarged left-brace 1st Row y = negative 4 x Superscript 5 Baseline + 12 x Superscript 4 Baseline minus 6 x 2nd row y = 5 x cubed minus 2 x EndLayout
StartLayout Enlarged left-brace 1st Row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 5 x cubed + 4 x 2nd row y = 0 EndLayout
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = negative 5 x cubed + 2 x EndLayout
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = 5 x cubed minus 2 x EndLayout
Answer:
D. on Edg 2020
Step-by-step explanation:
You are welcome, I helped better than that other guy!!!
Answer:
D. [tex]\left \{ {{y=4x^{2} } \atop {y=x^{3}+2x }} \right.[/tex]
Angle measures and segment lengths. Algebra Find the value of each variable.
Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:
[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]
[tex] x = \frac{1}{2}(240 - 120) [/tex]
[tex] x = \frac{1}{2}(120) [/tex]
x = 60°
Prove that two triangles on the same base and between the same parallels are equal
in area.
follow me please .........
Answer:
............................
Step-by-step explanation:
.,.,.,.,.,.,.,.,.,,,,,.,.,.،.،.،.،.،.
-3x + 10y = 11
-8x + 2y = -20
Answer:
(3, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-3x + 10y = 11
-8x + 2y = -20
Step 2: Rewrite systems
-8x + 2y = -20
Add 8x to both sides: 2y = 8x - 20Divide 2 on both sides: y = 4x - 10Step 3: Redefine systems
-3x + 10y = 11
y = 4x - 10
Step 4: Solve for x
Substitution
Substitute in y: -3x + 10(4x - 10) = 11Distribute 10: -3x + 40x - 100 = 11Combine like terms: 37x - 100 = 11Add 100 to both sides: 37x = 111Divide 37 on both sides: x = 3Step 5: Solve for y
Define original equation: -3x + 10y = 11Substitute in x: -3(3) + 10y = 11Multiply: -9 + 10y = 11Add 9 to both sides: 10y = 20Divide 10 on both sides: y = 2Step 6: Graph system
Check the system.
Answer needs to be in rational for, do not use mixed numbers.[tex]\frac{1}{2} \sqrt{98}-6\sqrt{72}[/tex]
Answer:
[tex] \frac{1}{2} \times 7 \sqrt{2} - 36 \sqrt{2} \\ \frac{7 \sqrt{2} }{2} - 36 \sqrt{2} \\ \frac{65 \sqrt{2} }{2} \\ - 45.96[/tex]
Answer:
Step-by-step explanation:
You can't get a rational result. √2 does not go away.
√98 = √(49 * 2) = √7 * 7 * 2 = 7√2
6*√72 = 6 * √(2 * 2 * 2 * 3*3) = 6 * 2 * 3 √2 = 36√2
1/2 * 7√2 - 6*6*√2
√2 (3.5 - 36)
√2 * (-32.5) or
-32.5 * √2
Do you guys know this?
Answer:
Here it is
Step-by-step explanation:
If you have any questions feel free to ask :)
Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo
Answer:
$40.23
Step-by-step explanation:
Answer:
40.23
Step-by-step explanation:
easy just do 13.5*2.98
Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS
Answer:
The correct answer is B. AAS
Step-by-step explanation:
I took the test
hope this helps :)
SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In the given triangle there are ACD, DB is the perpendicular bisector.
We need to prove ∆ABD ≈ ∆CBD.
In ∆ABD and ∆CBD
AB is congruent to BC by given diagram.
∠ABD ≅ ∠CBD both are 90 degrees.
BD ≅ BD both having common side.
∆ABD ≈ ∆CBD.
By SAS postulate.
Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
I need help on my math.