Answer: [tex]y=-6x^2[/tex] never touches the y-axis
[tex]y=-6x^2-4[/tex] touches the y-axis at -4
Step-by-step explanation:
Because -4 means that the graph touches the y-axis at negative 4, not having it means that it never touches the y-axis
solve ... 5x + 4 < 3 - 3x
7. 5x -6 = 3x + 14
8. 6x - 11 = 4x + 3
More and last question. Thanks YISREAL and HARRIETH!!!!!. More points for you people.
Answer:
Q1. x = 10
Q2. x = 7
Step-by-step explanation:
The steps are :
Q1.
[tex]5x - 6 = 3x + 14[/tex]
[tex]5x - 3x = 14 + 6[/tex]
[tex]2x = 20[/tex]
[tex]x = 20 \div 2[/tex]
[tex]x = 10[/tex]
Q2.
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 4x = 3 + 11[/tex]
[tex]2x = 14[/tex]
[tex]x = 14 \div 2[/tex]
[tex]x = 7[/tex]
Answer:
[tex]x=10, \: x=7[/tex]
Step-by-step explanation:
[tex]5x -6 = 3x + 14[/tex]
[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]
[tex]5x -3x = 14+6[/tex]
[tex]2x=20[/tex]
[tex]x=\frac{20}{2}[/tex]
[tex]x=10[/tex]
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]
[tex]6x-4x = 3+11[/tex]
[tex]2x=14[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
In a pile of playing cards, there are 6 hearts, 4 clubs, and 8 spades. What is the probability that you will draw a heart?
1. 1/2
2. 1/6
3. 1/3
4. 1/12
Answer:
1/3
Step-by-step explanation:
The probability that you will draw a heart is 1/3, the correct option is 3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of cards= 6 hearts, 4 clubs, and 8 spades
Now,
To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.
The probability of drawing a heart is 1/18=1/3
Therefore, by probability the answer will be 1/3.
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A ramp into a building forms a 6° angle with the ground. If the ramp is 8 feet long, how far away from the building is the entry point of the ramp? Round the solution to the nearest hundredth.
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?
Answer:
25 degrees
Step-by-step explanation:
The angle WRS for the given triangle will be ∠WRS = 25°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that the triangle has an angle as shown in the image
The angle TRW → 25x + 30 = 180 -5x
→ x = 5°
Now the angle WRS → 180 - ( 25x + 30)
∠WRS = 25° hence, the correct answer will be this.
For more about the angle
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Please help I’m struggling with this one :((
Answer:
Domain: { 2,3,4,5}
Step-by-step explanation:
The domain is the inputs to the function
In this case it is the x values
Domain: { 2,3,4,5}
Answer:
C. (2,3,4,5)
Step-by-step explanation:
The domain is x and the range is y.
Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?
Answer:
she spent £270.
Step-by-step explanation:
First, let us define what a ratio of 9:6 means.
when you have a ratio such as this, you have to add both ratios first:
9+6 = 15
This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.
Now let us solve the problem
Savings to spending = 9:6
if total amount = m
ratio saved = 9/15 × m
ratio spent = 6/15 × m
Now total amount (m) = £450
∴ ratio saved = 9/15 × 450 = 4050/15 = £270
Therefore she spent £270.
To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180
Plane V and Plane J intersect at which of the following?
they intesect at line a
Can someone plz help me
Answer:
33%
Step-by-step explanation:
- The area of the inner white circle is π4² = 16π
- The area of the blue "band" is π7² - π4² = 33π
- The total area is π10² = 100π
The ratio of the blue band and the total area is 33π/100π ×100% = 33%
The function f(x) is shown in the graph above
The function g(x) = -2x - 5
compare the slopes
A. The slope of f(x) is undefined and the slope of g(x) is negative
B. the slope of f(x) is the same as the slope of g(x)
C. The slope of f(x) is less than the slope of g(x)
D. The slope of f(x) is greater than the slope of g(x)
Answer:
B. the slope of f(x) is the same as the slope of g(x)
Step-by-step explanation:
B. the slope of f(x) is the same as the slope of g(x); that slope is m = -2.
Answer:
D ye
Step-by-step explanation:
4x - 7 = -2x +12 what are the steps ?
Step-by-step explanation:
4x-7=-2x+12
Add 2x
6x-7=12
Add 7
6x=19
Divide 6
x = 19/6
19/6 = 3 1/6
x = 3 1/6
Answer:
First u have to take -7 to the other side to make it +7 which will make it 4x=-2x+12+7And then take -2x to the other side to make 4x+2x=12+7which makes it 6x=19then solve for xboth divided by 66x/6=19/6cancel both 6athen x =ans?The sides of a quadrilateral whose sides are 85cm 143cm 165cm and 85cm and one of the diagonals is 154cm
Answer:85cm is kept comstant for a while
Step-by-step explanation:
For 2nd part
1m 80 cm
=1×100cm+ 80 cm
=100cm+ 80 cm
=180cm
So
#According to question,
If both are added then,
=85cm+180 cm
=265cm
please brainlest
Step-by-step explanation:
Sue invests £9000 in an account for one year.
At the end of the year, interest is added to her account.
Sue pays tax on this interest at a rate of 20%
She pays £30.24 tax.
Work out the percentage interest rate for the account.
Answer:
£151.20
Step-by-step explanation:
20%= 100%divided by 5
To find 100% from 20% you x by 5
so you times 30.24 by 5
30.24x 5 = 151.2
So the answer is £151.20
interest percentage rate would be 1.6754%
The interest rate for the account is 1.68%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.
Given that,
Sue invests £9000 in an account for one year.
She pays £30.24 at a rate of 20%
So, 20% of the interest = £30.24
Let the interest be x,
X0.2 = 30.24
X = £151.2
The total interest was = £ 151.2
The rate R at which generated this interest =
R = (100 × 151.2)/(1 × 9000)
R = 15120/9000
R = 1.68%
Hence, the interest rate = 1.68%
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Rob paid $50.15 for two pairs of jeans, which include a 15% discount. What was the price of one pair of jeans before the discount was added?
Answer:
$29.50
Step-by-step explanation:
The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.
100% - 15% = 85%
Divide the price Rob paid by the percentage the price is of the total.
85% = 0.85
50.15/0.85 = 59
Now, divide the total price by 2 so that you can find the price of one pair of jeans.
59/2 = 29.50
The price of one pair of jeans is $29.50
A car travels 0.75 miles every minute.explain how you could use proportional reasoning too find how far the car travels in a hour
Answer:
The car travels 45 miles in one hour.
Step-by-step explanation:
Knowing that one hour is 60 minutes and that the car travels 0.75 miles every minute, you can multiply 60 and 0.75 which gives you 45 miles per hour meaning in one hour the car travels 45 miles.
find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis
Answer: C
Step-by-step explanation:
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)
J = (0, 0) is 1 unit to the right of x = -1
J' = (-2, 0) is 1 unit to the left of x = -1
K = (1, 4) is 2 units to the right of x = -1
K' = (-3, 4) is 2 units to the left of x = -1
L = (3, 3) is 4 units to the right of x = -1
L' = (-5, 3) is 4 units to the left of x = -1
Reflection across x-axis
Change the sign of the y-value: (x, y) → (x, -y)
J' = (-2, 0) J'' = (-2, 0)
K' = (-3, 4) K'' = (-3, -4)
L' = (-5, 3) L' = (-5, -3)
Given g(x)=-5x-4, solve for x when g (x)=1
Answer:
1 = -5x-4 add 4 to both sides
-5x = 1+4 divide both sides by (-5)
x = -5/5
x= -1
Suppose $700 is being deducted each month to pay the mortgage.
After six months, how much money has been taken out of the
pay for the mortgage?
Answer:
$4,200
Step-by-step explanation:
700 x 6 = 4,200
Which is equivalent to “4 pencils for every 2 students”?
Answer:
8 pencils for every 4 students or 2 pencils for every students
Step-by-step explanation:
Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent
II. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.A. And if the first payment of $10,000 is received at the end of 10 years
Answer:
$26934.56
Step-by-step explanation:
The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:
[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]
n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000
[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56
Write 9.13 x 10-3 as an ordinary number.
Please
Answer:
913/100 and 10/10000
Step-by-step explanation:
913/100 = 9.13
10/10000 = 10^-3
9.13 x 10^-3 = 0.00913
Answer:
0.00913
Step-by-step explanation:
9.13 x 10-3 as an ordinary number means eliminating the standard form.
10^-3 is 1/1000
Hence 9.13 x 10-3 = 9.13 × 1/ 1000
9.13/1000= 0.00913
What is the simplified form of the fraction below 15/25
Answer:
[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]
Answer:
3/5
Step-by-step explanation:
Both of them are multiples of five by dividing them u get the answer
3/5
Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.
Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
what is the definition of an opposite ray
Answer:
'''A ray has one endpoint and extends indefinitely in one direction. A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint.'''
The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8? PLEASE HELP
Answer:
y= -4
Step-by-step explanation:
x+y=42. We know that x plus y equals 42.
x=2y . We also know that x equals twice y.
2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.
y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)
x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.
x=28. Now that we know that x=28 and y=14, we know that y is always x/2.
When x=-8, we divide it by 2 and get, -4.
Not absolutely positive as this was all mental math, but hope this helps! :)
The value of the variable y at x = -8, will be negative 49.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The numbers x and y are inversely proportional. Then we have
y ∝ 1/x
y = k/x ...1
When the sum of x and y is 42. Then the equation will be
x + y = 42 ...2
x is twice y. Then the equation will be
x = 2y ...3
From equations 2 and 3, we have
2y + y = 42
3y = 42
y = 14
Then the value of x will be
x = 2(14)
x = 28
Then the value of k will be
14 = k / 28
k = 392
Then the equation will be
y = 392 / x
Then the value of the variable y at x = -8, will be
y = 392 / (-8)
y = -49
Thus, the value of the variable y at x = -8, will be negative 49.
More about the ratio and the proportion link is given below.
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help pls tysm
What are two examples of financial institutions?
Answer:
The major categories of financial institutions include central banks, retail and commercial banks, internet banks, credit unions, savings, and loans associations, investment banks, investment companies, brokerage firms, insurance companies, and mortgage companies
Step-by-step explanation:
sorry i did not put 2 examples, i put too many examples lollll
Answer:
There are two primary types of financial institutions non-depository and depository.
Step-by-step explanation:
an insurance company would fall under the non-depository group, and a credit union would be defined as a depository institution.
∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?
26°
36°
11°
64°
Answer: 26
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then
∠A + ∠B = 90
∠A =90- ∠B
∠A = 26
Answer:
The measure of [tex]\angle A[/tex]:
[tex]\angle A = 26\textdegree[/tex]
Step-by-step explanation:
Since both [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary (Which they both add up to 90°), and you want to find the measure of
Measure of [tex]\angle A[/tex]: unknown
Measure of [tex]\angle B[/tex]: 64°
Finding the measure of [tex]\angle A[/tex]:
[tex]90 - 64 = 26[/tex]
[tex]\angle A = 26\textdegree[/tex]
So, the measure for [tex]\angle A[/tex] is [tex]26\textdegree[/tex].
A
If the radius of the smallest circle is 3, find its area
Answer: [tex]9\pi[/tex]
Step-by-step explanation:
Area of a circle is [tex]\pi r^2[/tex], they give the radius 3. 3^2 is equal to 9
Help me quickly I will give brainliest answer to who does it first, look at picture
Answer:
V = 54 π units³
OR
V = 169.6 units³
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^2 h[/tex]
V = (3.14)(3)²(6)
V = (3.14)(54)
V = 54 π units³
OR
V = 169.6 units³
Hhhhhhheeeeelllllpppppppp
Answer:
tan 41 = 0.87
sin 63 = 0.89
cos 14 = 0.97
Step-by-step explanation:
No explanation since the question states to use the ALEKS calculator so you just make sure the calculator is in degrees then simply press tan 41 etc.
