Answer:
y= -3x+3/2
Step-by-step explanation:
Write it in the form of y=mx+b because that is the y-intercept form.
So just plug it in. y=-3x+3/2
Answer
y= -3x+3/2
Step-by-step explanation:
7. The function ƒ(x) = sqrt x is reflected across the x-axis and vertically stretched by a factor of 2. Select the correct graph for the resulting function.
Answer:
the answer is NOT b, i got that wrong on the quiz
Step-by-step explanation:
Answer:
The correct answer is C.
Step-by-step explanation:
(1,-2) (4,-4) (9,-6)
Helpppppp pleaseeeee
Answer:
B. ( - 2, - 5)
Step-by-step explanation:
Coordinates of point A are ( - 2, - 5).
what is the different between -4 and 6.
Answer:
I'm guessing you would like to know what -4 - 6 is? It's -10.
Step-by-step explanation:
-4 - 6 = -10
You add -4 and 6, and you get -10. I hope this helped or you meant to phrase the question differently.
Answer:
The difference between -4 and 6 is 10
Step-by-step explanation:
Hope this helps :)
Can someone please help
Answer:
D
Step-by-step explanation:
The figure A will be translated 6 units to the left to make it on figure B
4.
Here is the proof of (sin x - cos x)2 = sec2 x - tan2 x - 2sin x cos x.
What is the missing line
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.[/tex]
Required
Prove
To start with; we open the bracket on the left hand side
[tex](sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)[/tex]
[tex](sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)[/tex]
[tex](sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x[/tex]
[tex](sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x[/tex]
Reorder
[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]
From trigonometry;
[tex]sin^2x + cos^2x = 1[/tex]
So;
[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]
becomes
[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]
Also from trigonometry;
[tex]sec^2x - tan^2x = 1[/tex]
So,
[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]
becomes
[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x[/tex]
Proved
Bud's cheeseburger and fries contained 1310 milligrams and 350 milligrams of sodium, respectively. Together they contained 66.4% of the recommended daily intake of sodium for
diet. What is the daily recommended intake of sodium for a 2,000 calorie diet?
Answer:
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Step-by-step explanation:
In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.
[tex]\text{total sodium} = 1310 + 350 = 1660 \text{ mg}[/tex]
We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:
[tex]\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}[/tex]
[tex]66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}[/tex]
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Answer:
2,500 mg
1,310 + 350 = 1,660
1,660 is 66.4% of 2,500
Help please I don’t understand the concept
Answer:
B
Step-by-step explanation:
The question is asking for what y would be when x is 2.
So, look on the graph where x = 2.
When x = 2, y = 6.
This means after 2 hours, the cost is $6
Can someone help me please!!!
Answer:
65°
Step-by-step explanation:
180°-50°:130°
130°÷2:65°
130° divide by 2 because the shape was isosceles triangle
The ratio of the angle measures of a triangle is 1:2:2. What is the value of the smallest angle? 180° 90° 72° 36°
Answer:
36 degrees.
Step-by-step explanation:
All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.
x + 2x + 2x = 180
5x = 180
x = 180 / 5
x = 36
Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.
Hope this helps!
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C. Multiply 3 by 18
Step-by-step explanation:
Susan reads:
1 page in 3 mins
So,
1 page = 3 mins
If we want the time for 18 pages, we would multiply both sides by 18
So,
18 pages = 3×18 mins
18 pages = 54 mins
Answer:
C
Step-by-step explanation:
1 page every 3 minutes
18 pages will take 3 × 18 = 54 minutes to read.
Alex drives at an average speed that is 1/4 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?
Answer:
336.00 km distance of train
Step-by-step explanation:
Alex = 20mins =12km We distribute to 1hr to find 60mins = 36km p/h.
Roy = 2hrs 20 mins and is 4x the speed of the car.
So 36km x 4 p/h = 144km p/h
2hrs and 20 = 144 x 2.3333 = 335.9952 = 336km
Answer:
336 km
Step-by-step explanation:
"Alex takes 20 minutes to travel 12 km in her car."
Alex's speed = (12 km)/(20 min) = 0.6 km/min
"Alex drives at an average speed that is 1/4 of the average speed that Roy's train travels."
Therefore, Roy's speed is 4 times Alex's speed.
Roy's speed = 4 * 0.6 km/min = 2.4 km/min
Roy travels for 2 hours and 20 minutes = 2 * 60 min + 20 min = 140 min
speed = distance/time
distance = speed * time = 2.4 km/min * 140 min = 336 km
8. A goldsmith has 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold. How
much pure gold must be added to this alloy to obtain an alloy that is 90% pure gold?
The amount of pure gold that should be added is
grams.
(Type an integer or a decimal.)
Answer: 65 grams
Step-by-step explanation:
If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.
That is, 85% of 130 grams.
85/100 × 130 = 110.5
Then, let X be what will be added to the above value to make 90%. So,
(110.5 + X) / ( 130 + X ) × 100 = 90
Divide both sides by 100
(110.5 + X) / ( 130 + X ) = 90/100
(110.5 + X) / ( 130 + X ) = 0.9
Cross multiply and open the bracket
110.5 + X = 117 + 0.9X
Collect the like terms
X - 0.9X = 117 - 110.5
0.1X = 6.5
Divide both sides by 0.1
X = 6.5/0.1
X = 65 grams
Therefore, the amount of pure gold that should be added is 65 grams
The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. On a coordinate plane, 2 lines intersect around (2.8, negative 4.2). Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.
Answer:
The x-value is between 2 and 3, and the y-value is between –4 and –5
Step-by-step explanation:
The system of equations:
y = 1/4x - 5
y = -1/2x - 3
is shown in the figure attached. There it can be seen that the solution is (2.667, -4.333). This can be corroborated as follows:
y = 1/4(2.667) - 5 = -4.333
y = -1/2(2.667) - 3 = -4.333
Answer:
A its a
Step-by-step explanation:
Solve 2x + 4 > 16
A. X < 6
B. X > 6
C. X < 10
D. X > 10
Answer:
B
2(6)+4 > 16 x > 6 2(7) + 4 > 16
12+4=16 14+4>16 18>16
Which represents the solution set of 5(x+5) < 85?
X<12
x>12
x<16
x>16
Answer:
x<12
Step-by-step explanation:
Divide both sides by 5
5(x+5) < 85
5 5
then simply
Answer:
x < 12
Step-by-step explanation:
[tex]5(x+5)<85\\\\5 * x = 5x\\\\5 * 5 = 25\\\\5x+25<85\\\\5x+25-25<85-25\\\\5x<60\\\\\frac{5x}{5}<\frac{60}{5}\\ \boxed{x<12}[/tex]
What is the measure of ∠E? Enter the correct value. Do not enter the degree symbol.
Answer:
To find < E we use tan
tan E = opposite / adjacent
DF is the opposite
EF is the adjacent
DF = 11
EF = 11
tan E = 11/11
tan E = 1
E = 45
Hope this helps
Answer:
45 degrees
Step-by-step explanation:
Since this triangle is isosceles, we know that the other angles, D and E, are both 45 degrees because of the sum of interior angles of a triangle always equaling 180 degrees.
Help please I’m just tryna get everything done and I’m doing something wrong every time I try to solve these
Answer:
(A) It's 6/5 (B) It's 7/8
Step-by-step explanation:
Divide each term by -6 simplify.
Hope this helped you! I don't understand the last one sorry.
Answer:
14- yes
15-No
16-11.5
Step-by-step explanation:
14- yes ( attached a picture) 5/6
15-no, because Direct Variation: It is known as the relationship between two variables where the variable quantities have a constant ratio.
8y=7x-27
y=7/8 x-27/8
16- ky=x where k is the constant variation
k=166/83=2
ky=x when x=23
y=x/k=23/2=11.5
i need help pleaseeee ASAP!!!!!!
Answer:
180 degrees
Step-by-step explanation:
help me with this answer plz
Answer:
Neither angle P nor angle Q is exactly 45 degrees, but both are closer to 45 degrees than are the other choices.
Step-by-step explanation:
The number of cards in a deck of playing cards is numbered in the tens.
O A. True
B. False
During a fancy fair organized at school, the total amount of money collected was $54 000. The following table represents the amount of money collected from the different items:
Food and drinks: 27 000
Entertainment: 6000
Games: 12 000
Donations: 9000
What percentage of the money collected does each item represent?
Answer: Collected amount÷total amount x 100
Step-by-step explanation:
Food and drinks = [tex]\frac{27000}{54000}[/tex] x 100 = 50%
Entertainment = [tex]\frac{6000}{54000}[/tex] x 100 = 11% (11.1 - .1 recurring)
Games = [tex]\frac{12000}{54000}[/tex] x 100 = 22% (22.2- .2 recurring)
Donations = [tex]\frac{9000}{54000}[/tex] x 100 = 17% (16.6- .6 recurring)
Double checking - 50 + 11 + 22 + 17 = 100%
Hope this helps! :)
Answer:
Food & drinks = 50%
Entertainment = 11.1%
Games = 22.2%
Donations = 16.7%
Step-by-step explanation:
Basically, divide all of the amounts to $54000.
What I did was divide them, my answers are basically close to the exact percentage.
Can u please help me , I’m stuck on this .
Answer:
Use this website it gives you the answer and show the work
math
way
dot
com
Step-by-step explanation:
Answer:
24a: n = 5/14
24b: p = 18
25a: (x + 11) (x - 12)
25b: x (x + 2) (x - 2)
Step-by-step explanation:
I hope this helps
can someone help me with this pleaseee
Answer:
The real part is -1
Step-by-step explanation:
The real axis is the horizontal axis
The value on the horizontal axis is -1
The radius of a circle is 9.7 m. Find the circumference to the nearest tenth?(help its urgent)
Answer:
Step-by-step explanation:
Circumference C=2πr r=radius [tex]\pi =3.14[/tex]
C=2(3.14)9.7
C=60.9
IMAGE 1: Find the value of the indicated trigonometric ratio cos α
IMAGE 2: Find the value of the indicated trigonometric ratio sin β
IMAGE 3: Find the value of the indicated trigonometric ratio cot γ
IMAGE 4: Find the value of the indicated trigonometric ratio tan α (WORTH 30 POINTS!) Thanks!
Answer:
28.07° ; 70.53° ; 53.13° ; 36.87°
Step-by-step explanation:
Using PYTHAGORAS RULE :
IMAGE 1:
value of cos α equals :
cos α = Adjacent / Hypotenus
cos α = 15 / 17
cos α = 0.88235
α = cos^-1 (0.88235)
α = 28.07°
IMAGE 2:
sin β = Opposite / Hypotenus
sin β = 14√2 / 21
sin β = 0.9428
β = sin^-1(0.9428)
β = 70.53°
IMAGE 3:
From trigonometry :
cot = 1 / tan
Tan = Opposite / Adjacent
Therefore, Cot = Adjacent / Opposite
cot γ = 3/4
cot γ = 0.75
γ = cot^-1 (0.75)
γ = 53.13°
IMAGE 4:
tan α = Opposite / Adjacent
tan α = 15 / 20
tan α = 0.75
α = tan^-1 (0.75)
α = 36.87°
Answer:
15
Step-by-step explanation:
Which set of numbers is arranged in increasing order?
Answer:
B
Step-by-step explanation:
To solve this, we can make all of the numbers decimals.
π=3.14159265 and so on
Root 10 is about 3.16227766
22/7 is about 3.14285714
3.14 is already a decimal.
Now, our numbers are far easier to compare.
Let's put the numbers in increasing order.
3.14, 3.14159265, 3.14285714, 3.16227766
Substitute the original numbers in.
3.14, π, 22/7, Root 10
Therefore, option B is correct.
The amount of money, in dollars, Sarah has in her savings account is modeled as a function of time in months. This function is represented by the graph below. What is the average rate of change for the amount of money, in dollars per month, from month 0 to month 12? A $25 per month B $50 per month C $300 per month D $500 per month
Answer:
The average rate of change for the amount of money is A) $25 per month
Step-by-step explanation:
From the graph we can see Sarah earn $50 every two months, 50/2 = 25/1 so we can determine Sarah's average rate of change from month 0 to month 12 is $25 dollars per month. Hope this helped, let me know if you have any questions! :)
Which of the following lies between 0 and -1?
0
-3
-2/3
-4/3
Answer:
-2/3
Step-by-step explanation:
We need a negative fraction
The numerator has to be smaller than the denominator to be between 0 and -1
Answer:3rd one
Step-by-step explanation:
There is a number written on the board. One student increased the number by 23, but another student decreased the same number by 1. The first student’s result was 7 times greater than the result of the second student. What is the number written on the board?
Answer:
5
Step-by-step explanation:
Let's call the original number x.
So, the first student did x+23, and the other student did x-1.
You know that the first students result was 7 times larger than the other students. So, you can make the equation:
x+23=7(x-1)
x+23=7x-7
Then, do the algebra
-6x=-30
x=5
Answer:
5
Step-by-step explanation:
let the number =x
x+23=7(x-1)
x+23=7x-7
7x-x=23+7
6x=30
x=30/6=5
What is the median number of hours volunteered by the students in
the survey?
The median number of hours volunteered is hours.
Answer:
40
Step-by-step explanation:
The sum equals 80 80/2=40
Answer:
3
Step-by-step explanation: If you write out all the numbers and you cross them out in order you will find that 3 is your median.