Identify the equation which has no solution. 3x - 21 = 3(x + 7) 3x - 21 = 3(x - 7) 3x - 21 = x - 7 All of the choices
Answer:
3x - 21 = 3(x + 7).
Step-by-step explanation:
3x - 21 = 3(x + 7)
3x - 21 = 3x + 21
3x - 3x = 21 + 21
0 = 42
Since the two are not equal, this equation has no solution.
3x - 21 = 3(x - 7)
3x - 21 = 3x - 21
3x - 3x = -21 + 21
0 = 0
Since the two are equal, this equation has infinitely many solutions.
3x - 21 = x - 7
2x = 14
x = 7
This equation has one solution.
Since there is only one choice that makes sense, the answer won't be all of the choices.
The answer is A. 3x - 21 = 3(x + 7).
Hope this helps!
which of these shapes are parallelograms choose all correct answers
Answer:
The 2 pink ones
explanation: I got this right
The two pink diagrams in the given figure are parallelograms.
What is a parallelogram?A unique kind of parallelogram created with parallel lines is called a parallelogram.
A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.
So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.
The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.
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PLEASE HELP ME IM BEGGING
Distribute and simplify the following: x(3x + 2)(-2x + 1)
The principal represents an amount of money deposited in a savings account subject to compound interest of a given rate.How much money there will be in the account after the given number of years. The principal is$5000, 5% Rate, quarterlybover a two year period.
Answer:
$5522.43
Step-by-step explanation:
The amount in an account for a principal P saved at compound interest for a duration of n years compounded with period k at an annual interest rate of r% is calculated using the formula:
[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]
In this case:
Principal, P=$5000Interest Rate, r=5%=0.05Time, n=2 yearsPeriod, k=4(Quarterly)Therefore, the amount is:
[tex]A(n)=5000(1+\frac{0.05}{4})^{4*2}\\=5000(1+0.0125)^{8}\\=5000(1.0125)^{8}\\=\$5522.43[/tex]
The amount of money in the account at the end of the two years is $5522.43.
Find the value of y for the given value of x. Round to the nearest hundredth. y = 15 + 3 ln x; x = 7.2
Answer:
y = 20.922
Step-by-step explanation:
Simply plug in x and evaluate:
y = 15 + 3ln(7.2)
Only way to calculate ln is to plug into a calc:
We should get 20.9222 as our answer.
What is the solution of 3+ x-2/x-3 less than or equal to 0
Answer:
The solution set consists of all the real numbers smaller than or equal to 11/4:
[tex]x\leq \frac{11}{4}[/tex]
Step-by-step explanation:
We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:
[tex]3+\frac{x-2}{x-3} \leq 0\\\frac{x-2}{x-3} \leq -3\\x-2\leq -3\,(x-3)\\x-2\leq -3x+9\\x+3x\leq 9+2\\4x\leq 11\\x\leq \frac{11}{4}[/tex]
Which of the expressions are monomials?
Answer:
nx∧(-3)
Step-by-step explanation:
Since it contains one term with the variable
Enter the correct number word to complete the conversion. 1 milliampere = one ? of an ampere
Answer:
One milliampere is equal to 0.001 ampere.
Step-by-step explanation:
Mili, refers to thousandth. (for example, millimeter or milliliter.)
In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of the cocktail is apple juice? Give your answer as a fraction in its simplest form.
Answer:
1/5
Step-by-step explanation:
Since we have given that
Quantity of orange juice = 30 ml
Quantity of apple juice = 20 ml
Quantity of coconut juice = 50 ml
Total quantity of cocktail = 100 ml
So, the ratio of orange juice to apple juice to coconut juice is given by
=30:20:50
= 3:2:5
Total ratio=3+2+5
=10
So, proportion of the cocktail of apple juice is given by
2/10×100
=1/5×100
=20%
Hence, the proportion of the cocktail is 1/5 apple juice
Sort each function into the correct category
f(x) = 0.45-1
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 5
f(x) = 4,5x + 1.8
f(x) = 19x2
f(x) = x2 - 3x + 4
Fx) = 2x - 6
Answer:
^ DONT LISTEN TO HIM
Step-by-step explanation:
linear - 4.5x + 1.8 and 2x - 6
quadratic - 19x^2 and x^2 - 3x + 4
exponential - 5^x and 0.45^x-1
ur welcome if ur using edge
Which one of the following gives the gradient of the line shown above?
A: 3/2
B: -2/3
C: 2/3
D: 6
E: -3/2
Answer: A: 3/2
Step-by-step explanation:
When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:
s = (y2 - y1)/(x2 - x1)
In this graph we can see that the line passes through the points:
(0, - 3) and (2, 0)
Then the slope is:
s = (0 - (-3))/(2 -0) = 3/2
Then the correct option is A.
The gradient of the line shown above is A: [tex]\frac{3}{2}[/tex]
Slope of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is :
slope [tex]=\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Now, from the given graph we can see that the line passes through the points:
(0, - 3) and (2, 0)
The slope is:
[tex]s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}[/tex]
Therefore the correct option is A.
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In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
Answer:
Step-by-step explanation:
This is a binomial probability distribution because there re only 2 possible outcomes. It is either a surveyed company outsourced some part of their manufacturing process in the past two to three years. The probability of success, p would be that a randomly selected company x, outsourced some part of their manufacturing process in the past two to three years. From the information given, p = 54/100 = 0.54
Number of success, x = 338
Number of samples, n = 555
We want to determine the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years which is expressed as
P(x ≥ 338)
From the binomial probability calculator,
P(x ≥ 338) = 0.0006
The percentage is 0.0006 × 100 = 0.06%
Help pls!!! The diagram shows a 12 cm * 3 cm * 4 cm cuboid. Find angle GEC. Give your answer to 1 decimal place.
Answer:
m<GEC = 17.9 deg
Step-by-step explanation:
First, use the Pythagorean theorem to find the length of GE.
(GE)^2 = (E?)^2 + (?G)^2
I am using ? in place of the front right corner point name that is not visible.
(GE)^2 = 12^2 + 3^2
GE = 12.3693
In triangle EGC, for angle GEC, GE is the adjacent leg, and GC is the opposite leg. We use the tangent.
tan GEC = opp/adj
tan GEC = GC/GE
tan GEC = 4/12.3693
tan GEC = 0.32338
Use inverse tangent to find the angle.
m<GEC = 17.9 deg
The angle ∠GEC of a cuboid will be:
"17.9°"
Pythagoras TheoremAccording to the question,
Three dimensions,
AC = 4 cm
EH = 12 cm
GH = 3 cm
By using Pythagoras theorem,
→ (GE)² = (EH)² + (GH)²
By substituting the values,
= (12)² + (3)²
= 144 + 9
= 153
GE = √153
= 12.3693
Now, In ΔEGC
here, Adjacent leg = GE
Opposite leg = GC
→ tan GEC = [tex]\frac{Opposite}{Adjacent}[/tex]
= [tex]\frac{GC}{GE}[/tex]
= [tex]\frac{4}{12.3693}[/tex]
= 0.32338
Hence, by using inversing tangent
m∠GEC = 17.9°
Thus the above answer is correct.
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I’m confused please help!
Answer:
A is the answer.
Step-by-step explanation:
In option A, there are 9 red boxes and 3 blue boxes
If we simlify,
9 : 3 = 3 : 1 = 1 : 1/3
Hope you understand
Answer: Grid A
Step-by-step explanation:
The ratio red:blue is simplified to 1:1/3.
To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).
We can multiply both sides by 9.
1 x 9= 9
1/3 x 9= 3
Now the ratio red:blue is 9:3, which adds up to 12.
Grid A is the only grid where there are 9 red squares and 3 blue squares.
Which of the diagrams below represents the statement "If it is a square, then
it is a rectangle"?
Answer:
A
Step-by-step explanation:
Im not 100% but im sure I did this question
The diagram which correctly represents the statement "If it is a square, then it is a rectangle" is; Figure A.
From set theory;
The statement " if it is A, then it is B" simply can be translated mathematically as A is a subset of B.
As such, every element of the set A is an element of Set B.In this case, Since the statement is; "If it is a square, then it is a rectangle".
The figure A correctly represents the statement; "If it is a square, then it is a rectangle".
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Suppose the linear regression line y = 3.27x + 1.52 predicts the weight of a large dog, in pounds, x weeks after it is born. About how much would the dog weigh after 6 weeks?
Answer:
y=21.14
Step-by-step explanation:
x=6 because after 6 weeks
y= 3.27(6)+ 1.52
y=19.62 + 1.52
y=21.14
How many 9-digit palindromes are there with all the digits being even and each digit appearing no more than twice?
Answer: 96
Step-by-step explanation:
A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121
Then, we have 9 digits, and all the digits need to be even.
the options are: 0, 2, 4, 6, 8.
Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.
But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.
So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.
For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).
for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)
for the third digit, we have 3 options
for the fourth digit, we have 2 options
for the fifth digit, we have only one option.
The total number of combinations is equal to the product of the number of options for each selection:
C = 4*4*3*2*1 = 96
Answer:
96
Step-by-step explanation:
3 Sarah left home at 10:00 and cycled north in
a straight line. The diagram shows a
displacement-time graph for her journey.
a Work out Sarah's velocity between 10:00 and 11:00.
On her return journey, Sarah continued past her
home for 3 km before returning.
b Estimate the time that Sarah passed her home.
c Work out Sarah's velocity for each of the last two
stages of her journey.
d Calculate Sarah’s average speed for her entire journey.
Answer:
a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.
b) Sarah passed by her home at 12:45.
c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.
d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.
Determine the solution set 2x+3(4-x)≤x<2(x+1)
Answer:
6≤x>2
Step-by-step explanation:
2x+3(4-x)≤x<2(x+1) simplify
2x+12-3x≤x<2x+2
first step:
-x+12≤x
-x+12+x≤x+x
12≤2x , then 12/2 ≤ x
6≤x or x ≥ 6
second step: x<2x+2
x-2x<2x-2x+2
-x<2 when divide by negative the sign flip in this case from less to great than
x>2
6≤x>2
Please help. I need the answers to these. I don't get Trigonometry at all.
Answer:
below
Step-by-step explanation:
sin 24° =0.4 cos 45° =[tex]\frac{\sqrt{2} }{2}[/tex] tan 88° = 28.63Answer:
1) -.91
2) .53
3) .04
Step-by-step explanation:
[tex]sin(24)[/tex] = -.905578362
-.91 rounded to the nearest hundredth
[tex]cos(45)[/tex] = .5253219888
.53 rounded to the nearest hundredth
[tex]tan(88)[/tex]= .0354205013
.04 rounded to the nearest hundredth
Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction x = 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction . In which step did he use the addition property of equality? A table titled Rahul's Solution with 2 columns and 5 rows. The first column, Steps, has the entries 1, 2, 3, 4. The second column, Resulting equations, has the entries, 2 x minus StartFraction 1 Over 4 EndFraction minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x minus StartFraction 1 Over 4 EndFraction equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x equals StartFraction 56 Over 4 EndFraction, x equals 10. Step 1 Step 2 Step 3 Step 4
Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
[tex]2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}[/tex]
Step 2: simplifying the coefficients of x:
[tex]2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}[/tex]
Step 3: Adding 1/4 to both sides
[tex]\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\[/tex]
Step 4: Multiplying both sides by 5/7
[tex]\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10[/tex]
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
Answer:
c. step 3
Step-by-step explanation:
Which are the roots of the quadratic function f(b) = b2 - 75? Select two options
Answer: Option A, & B
(A) b = 5 StartRoot 3 EndRoot b= 5[tex]\sqrt{} 3[/tex]
(B) b = Negative 5 StartRoot 5 Endroot b= -5[tex]\sqrt{} 3[/tex]
Step-by-step explanation:
Zack bought 5 blue ties and 4 red ties. He will choose one at random to wear tomorrow. Find the probability that Zack will choose a red tie. Convert the fraction to a decimal. Round to three decimal places.
Answer:
0.444
Step-by-step explanation:
The total number of ties is 9, and there are 4 red ones.
So, the probability of choosing a red tie is 4/9.
4/9 = 0.444 as a decimal
.Calculate the time in which ₦1,500 will amount to ₦9,000 at 20% per annum.
Answer:
30 yrs
Step-by-step explanation:
SI = PRT/100
T = I × 100/PR
= 9000×100/1500×20
= 900000/30000
= 30 yrs
Please answer it now in two minutes
Answer:
p = 67
Step-by-step explanation:
The polygon has 8 sides.
The sum of the measures of the interior angles is:
180(n - 2) = 180(8 - 2) = 180(6) = 1080
p + 49 + 2p + 7 + 2p + 142 + p + 50 + 2p + 147 + 2p + 15 = 1080
10p + 410 = 1080
10p = 670
p = 67
A pack of pens costs $3.25. A pad
paper costs $1.28. If you buy two
packs of pens and five pads of paper
how much do you spend?
Answer:
$12.90
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU THE BRAINIEST Using the graph, identify the slope and y-intercept. Then write an equation that represents the linear relationship.
Answer:
slope = -2
y-intercept = 2
equation: y = -2x + 2
Step-by-step explanation:
The equation of a line is
y = mx + b
We need to find the slope, m, and the y-intercept, b.
The graph crosses the y-axis at y = 2, so the y-intercept, b, equals 2.
Now we have
y = mx + 2
slope = m = rise/run
We see points (1, 0) and (0, 2) on the graph. Starting at (1, 0), we go up 2 units. That is a rise of 2. Then we go 1 unit left. That is a run of -1.
slope = m = rise/run = 2/(-1) = -2
The slope is -2.
The equation is
y = -2x + 2
Answer:
y=-2x+2
Step-by-step explanation:
Using rise over run the line travels down 2 and right one from one point to another giving u -2/1 or -2 as the slope and it passes through the y-axis at 2 giving you a y-intercept of 2 and the equation y=-2x+2.
Simplify (4x+5y) (2x-3y) + 3xy
Answer:
the answer is 8x^2+xy-15y^2
use the grouping method to factor this polynomial.
Answer:
C
Step-by-step explanation:
Given
x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )
= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term
= (x² + 3)(x + 3) → C