The range of F(x) = 7.4* is all positive real numbers is true
What is Range ?
When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.
Currently, the function is
f(x) = 7 x 4^x
Suppose,
y = f(x) = 7 x 4^x.
=> y = 7 x 4^x
Hence,
lny = ln (7 x 4^x).
We obtain using the logarithm equation
Hence,
ln y = ln7 + ln 4^x.
= ln y = ln7 + x ln4 .
Hence,
y equals e^(ln7 + x ln4).
=> y = e^ln7.e^(xln4) (xln4)
Using the exponential formula, we obtain
=> y = 7xln4
Consequently, y=f(x)=7.x.ln4
To determine function f's value (x)
7.x.ln7 = 0
As a result, For all possible values of x (x€R). To date,
=> 7x ≥ 0
=> 7xln4 ≥ 0
Therefore interval notation will be (0,∞)
Notation for set builders:
{y|y>0}
The graph will be plotted as follows if all the values of x (x€R) are used:
Hence, it is true that the range of f(x)=7*4x is all positive real integers.
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How to solve the blank
Answer:
blank = - 3
Step-by-step explanation:
let x represent the blanks , then
[tex]\frac{2}{3}[/tex] ([tex]\frac{9}{5}[/tex] + x) = [tex]\frac{2}{5}[/tex] x + [tex]\frac{2}{5}[/tex]
multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions
10([tex]\frac{9}{5}[/tex] + x) = 6x + 6 ← distribute parenthesis on left side
[tex]\frac{90}{5}[/tex] + 10x = 6x + 6
18 + 10x = 6x + 6 ( subtract 6x from both sides )
18 + 4x = 6 ( subtract 18 from both sides )
4x = - 12 ( divide both sides by 4 )
x = - 3
What is the difference between the values of |-
10 and 19 ?
Answer: 9
Step-by-step explanation:
the value of -10 is 10 and the value of 19 is 19 s0 19 - 10
12:36=21 :
Fill in the blank I don't understand it ?
Answer:
63
Step-by-step explanation:
12:36
36/12=3
21(3)=63
explain which of the following is better to but
Convert degrees to radians:144° = __ πEnter your answer as a decimal to the tenths place
Answer:
To convert the degrees to radians
[tex]144^{\circ}[/tex]we know that,
Radian is equivalent to the angle subtended at the centre of a circle by an arc equal in length to the radius.
we get that,
[tex]1\text{ radian}=\frac{180^{\circ}}{\pi}\text{ degrees}[/tex]That is,
[tex]1\text{ degree}=\frac{\pi^{}}{180^{\circ}}\text{ radians}[/tex]we get that,
[tex]144^{\circ}=144^{\circ}\times\frac{\pi}{180^{\circ}}\text{ radians}[/tex][tex]=\frac{4}{5}\pi\text{ radians}[/tex][tex]=0.8\pi\text{ radians}[/tex]Answer is: 0.8
Lin knows that angle A is congruent to angle D. She claims that triangles ABC and DEF
must be similar. Convince Lin that the triangles are not similar.
If p and q vary inversely and p is 5 when q is 4, determine q when p is equal to 10.
If p and q vary inversely and p is 5 when q is 4, the value of q when p is equal to 10 is 2.
What is an inverse variation?An inverse variation can be defined as a type of proportionality which shows the relationship that exist between two (2) distinct variables, wherein, as the value of one variable increases, the value of the other variable decreases and vice-versa.
Mathematically, an inverse variation can be modeled or represented by this expression:
p ∝ 1/q
p = k/q
Where:
p and q are the variables.k represents the constant of proportionality.
Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:
k = pq
k = 5(4)
k = 20
Now, we can determine the value of q:
q = k/p
q = 20/10
q = 2.
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The blueprint for the moreno’s living room has a scale of 2 inches= 5 feet. The family wants to use a scale of 1 inch= 3 feet. What is the width of the living room on the new blueprint
Please help me it’s due at 11:59pm!!!
The width of the living room on the new blueprint is 15 feet.
How to calculate the width?Based on the information, the scale of the original blueprint will be:
= 2 in / 5 ft
The width of the original blueprint is 6 inches, the actual width of the living room will be:
2/5 = 6/x
where x = width of living room
Cross multiply
x = 5 × 6 / 2
x = 15 feet.
The width is 15 feet.
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I NEED HELP WITH THIS QUESTION
Answer:
KML and LMK
Step-by-step explanation:
A 25-foot ladder is leaning against the side of a house so that the bottom of the ladder is 15 feet from the base of the house. Will the ladder reach a window that is 21.5 feet above the ground?
The ladder will not reach a window that is 21.5 feet above the ground if the length of the ladder is 25 feet.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
From the data:
The right angle triangle can be drawn:
From the diagram:
Applying Pythagoras' theorem:
BC² = AB² + AC²
25² = 15² + AC²
After solving
AC = 20 feet
AC < 21.5 feet
Thus, the ladder will not reach a window that is 21.5 feet above the ground if the length of the ladder is 25 feet.
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Answer:
No, because the ladder will only reach 20 feet high
Step-by-step explanation:
I go it right on my quiz :]
a dietician is planning a snack package of fruit and nuts. each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, 2 units of fat and will contain 20 calories each. each ounce of nuts will supply 3 units of protein, 2 units of carbohydrates and 4 units of fat, and will contain 50 calories. Every package must provide at least 9 units of protein, at least 18 carbohydrates, and no more than 22 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least amount of calories. What is the least number of calories?
ANSWER ASAP PLEASE
The number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least amount of calories is
3 ounces of nut5 ounces of fruitThe least number of calorie is 250 calories
How to find the number of ounces of fruit and number of ounces of nuts with the least amount of calories.given data
1. each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, 2 units of fat and will contain 20 calories
2. each ounce of nuts will supply 3 units of protein, 2 units of carbohydrates and 4 units of fat, and will contain 50 calories
3. Every package must provide at least 9 units of protein, at least 18 carbohydrates, and no more than 22 units of fat
To get at least 9 units of protein, we take at least 3 ounces of nut
3 ounces of nut will give 3 times each unit, and they are as follows
3 * 3 = 9 units of protein2 * 3 = 6 units of carbohydrates4 * 3 = 12 units of fat50 * 3 = 150 caloriesAnother restriction is no more than 22 units of fat and we have 12 already remaining 10 units of fat
fruits has lesser calories hence we use it to get the required fats
10 units of fat ÷ 2 units of fat in fruit = 5
5 ounces of fruit will give 5 times each unit, and they are as follows
5 * 3 = 15 units of carbohydrates5 * 2 = 10 units of fat 5 * 20 = 100 caloriesCombining 3 ounces of nut and 5 ounces of fruit will give
9 + 0= 9 units of protein6 + 15 = 21 units of carbohydrates12 + 10 = 22 units of fat150 + 100 = 250 caloriesAbove maintains the requirements stated in the question with the minimal calorie
the required calorie is 250
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1.8.7 Check Your Understanding
Amala is copying XY.
After drawing an arc with the compass from the first point of the construction, the next step is [DROP DOWN 1].
Drop Down 1
Y
pick a point on the arc that will be the second endpoint of the new segment
Select a Value
adjust the compass width to equal the length of XY
use a straightedge to draw a line segment from the new points
pick a point on the arc that will be the second endpoint of the new segment
The next step after drawing an arc with the compass from the first point of the construction will be, to pick a point on the arc that will be the second endpoint of the new segment. (a)
To copy a line we have to follow a few steps of the procedure.
The steps are;
Adjust the compass width to equal the length of XY.Draw an arc with the compass from the first point of the construction.Pick a point on the arc that will be the second endpoint of the new segment. Use a straightedge to draw a line segment from the new points.The newly constructed line is exactly equal to the given line.To know more about the construction of copied structure visit,
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Bette used 3 jumbo cans of frosting to frost 105
cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an
additional 175 cupcakes. How many jumbo cans of frosting would she need to frost 280
cupcakes?
The jumbo cans of frosting would she need to frost 280 cupcakes is 8 cans.
What is addition?Addition simply means the sum of the numbers that are given.
In this case, Bette used 3 jumbo cans of frosting to frost 105 cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an additional 175 cupcakes. This implies that the total cupcakes will be:
= 105 + 175 = 280
In this case, the cans used will be the addition of the cans above. This will be:
= 3 + 5
= 8 cans
This shows the concept of addition.
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Find the nth term of this quadratic sequence
2, 8, 18, 32, 50,
Step-by-step explanation:
+6,+10,+14,+18
+4+4+4
therefore quadratic 4/period function=2
[tex]y = 2{x}^{2} + bx + c[/tex]
y=2 x=1
[tex] 0 = b + c[/tex]
y=8 x=2
8=8+2b+c
0=2b+c
y=18 x=3
0=3b+c
therefore
the equation is 2x^2=y
the question is in the image
For the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4) , the maximum value of the parabola is y = -4.
As given,
Graph of parabola shows it open down parabola.
Vertex is the highest point on the graph of parabola.
it is known as the maximum value.
Let (h, k) be the vertex of the given parabola.
From the graph value of the vertex is equal to :
(h ,k)=(1, -4)
h represents the x-coordinate.
k represents the y-coordinate.
y-coordinate represents the maximum value of the parabola.
y =-4 is the maximum value.
Therefore, for the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4) , the maximum value of the parabola is y = -4.
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X
x=-4y
The slope is -4, and
the y-intercept is O.
The description of the error in finding the slope and y-intercept, of the graph of the equation is given by the option:
To be in slope-intercept form, the equation needs to be solved for y, not x
The equation in slope-intercept form is, [tex]\displaystyle{y = -\frac{1}{4} \cdot x[/tex]
What is the slope-intercept form of a straight-line equation?The slope-intercept form of the equation of a straight line is an equation of the form, y = m·x + c
The slope-intercept form of a straight-line equation is of the form, y = m·x + c, where:
m = The slope of the equation
c = The y-intercept
The given equation is x = -4·y
The given equation is not in the slope and intercept form given that the subject of the equation is x, rather than y
The error is therefore, in making x, the subject of the equation rather than y, that is the equation needs to be solved for y, not x
The correction of the error is performed as follows:
x = -4·y
-4·y = x
[tex]\displaystyle{y = \frac{x}{-4} = -\frac{1}{4} \cdot x[/tex]
Which gives: [tex]\displaystyle{y = -\frac{1}{4} \cdot x[/tex]
The slope of the graph of the equation is [tex]-\frac{1}{4}[/tex], the y-intercept, c, is 0
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a restaurant offers 4 appetizers, 8 salads, 9 entrees and 7 desserts. in how many ways can a customer select a meal, if a meal consists of an appetizer, a salad, an entree and a dessert? a) 28 b) 491,400 c) 20,475 d) 112 e) 2,016 f) none of the above.
The customer can select the meal in 2016 ways.
There are four different methods to choose an appetizer, eight different ways to choose a salad, nine different ways to choose an entree, and seven different ways to choose a dessert. Customers can choose a meal in the range of 4*8*7*9 if, according to the multiplication rule, a meal includes an appetizer, a salad, an entree, and a dessert.
x = 4 * 8 * 7 * 9 = 2016 ways.
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Solve y3 = −125.
answers are
y = −5
y = ±5
y = −25
y = ±25
y=2 and x=-10 what is the value of k the constant
Answer:
- 164/4+50y/3+ify=0
Step-by-step explanation:
hope it helps
I just want the answer :)
Answers ↓
angle 1 → 90°
angle 2→ 44°
angle 3 → 90°
angle 4 → 46°
I hope this helps u
3) Speedy Car Rental charges a flat fee of 30$ plus $.15 for each mile
a) write an equation for the cost as a function of the number of miles driven.
b) how much would the cost be if you drove 80 miles?
Answer:
a) C(m) = flat rate + rate per mile
b) $42
Step-by-step explanation:
a) C(m) = flat rate + rate per mile*No. of miles => 30+.15x
b) 30+.15*80 = 42
Will give brainlest:)
Answer:
1/9
Step-by-step explanation:
-1/9 + 2/9
Since the denominator is the same, we can add the numerators
(-1+2)/9 = 1/9
In a game
of ice hockey, the hockey puck took 0.6 second to travel 66 feet to the goal line. Determine the
the average speed of the puck in feet per second.
Answer:
The average speed of the puck is 110 ft per second.
Step-by-step explanation:
Using the d = st formula to find distance when given the speed and time, you can rewrite it to be s = d/t.
When you substitute the values in, you get s = 66/0.6, which is 110.
Hope this helps.
P.S. Mark as brainliest!
a number divided by 3 decreased by 7 is less than 4 times the number increased by 5
If we solve for the value of x we find that x is any value which is greater than -36/11.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
It is given in question that a required number divided by 3 decreased by 7 is less than 4 times the number increased by 5.
Let's assume the number be x.
So , x divided by 3 is x / 3 and if we subtract it by 7 , we get :
x/ 3 - 7
Also , this value is less than 4 times the number added with 5.
i.e.,
4x + 5
So , the inequality can be written as :
[tex]\frac{x}{3}[/tex] - 7 < 4x + 5
or
x - 21 < 12x + 15
-36 < 11x
or
-36 /11 < x
or
x > -36/11
or
x is greater than -36/11.
Therefore , if we solve for the value of x we find that x is any value which is greater than -36/11.
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please I need help with algebra 2!
photo for questions
8 and 9!
Answer:
I need more information to solve this.
Step-by-step explanation:
PLEASE HELP FAST PLEASE
Given:BC=AD and BC||AD Prove: BEC=DEA
Answer: ad bc is the answer
Step-by-step explanation:
Then, find an equivalent ratio where the number of skateboards is 50.
The equivalent ratio of longboard 3 : 10
What is Ratio ?
A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
Given:
Long-boards A 30
Skateboards 50 100
Find:
An equivalent ratio where the number of skateboards is 50.
Now,
⇒ Equivalent ratio = Long-boards / Skateboards
⇒ Equivalent ratio = 30 / 100
⇒ Equivalent ratio = 3 / 10
Now, Equivalent value of Long-boards = Equivalent ratio × Number of skateboards
Equivalent value of Long-boards = [3 / 10] × 50
Equivalent value of Long-boards = 15
Then the ratio will be :
15 / 50 = 3 / 10
or, 3:10
Hence, equivalent ratio where the number of skateboards is 50. will be 3:10
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Marie’s age is 12 less than triple Carl's’s age. When you add Marie's age to Carl’s age, you get 68. How old is Marie and how old is Carl? Show work.
A.) Use x to represent Carl's age. If x is Carl's age, write an expression for Marie's age using Carl's age x.
B.) Write an equation for the situation.
C.) Solve the equation from part a. Show your work. What is Marie's age and Carl's age.
30 Points for answering!
d) Work out 7½ ÷ 3 ²/3
Give your answer as a mixed number.
The answer is given above
Set up a system of equations and solve using substitution or elimination. You must show all work You have 258 coins in a jar. They are a combination of dimes and quarters. If the money in the jar equals $36.75, how many of each type of coin is there?
Answer:
185 dimes and 73 quarters
Step-by-step explanation:
q + d = 258
25(q) + 10(d) = 3675