Which represents the inverse of the function f(x) = 4x? a) h(x) = x + 4 b) h(x) = x – 4 c) h(x) = x d) h(x) = x witch is right
A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If 6 ounces of coconut oil and 5 ounces of beeswax are used to create the lip balm mixture, which values represent a and b in the table?
what does a and b equal
a = $
b = $
Let
a--------> the total cost in dollars of [tex]6[/tex] ounces of coconut oil
b--------> the total cost in dollars of [tex]5[/tex] ounces of beeswax
we know that
[tex]a=0.50 \frac{\$}{ounce}*6=\$3[/tex]
[tex]b=2.00 \frac{\$}{ounce}*5=\$10[/tex]
therefore
the answer is
the total cost in dollars of [tex]6[/tex] ounces of coconut oil is [tex]a=\$3[/tex]
the total cost in dollars of [tex]5[/tex] ounces ofbeeswax is [tex]b=\$10[/tex]
The table shows the total number of hamburgers and hot dogs sold at a food stand at a local fair on two separate days. It also shows the dollar amount taken in each day.
Hamburgers Hot Dogs Total
Day 1 200 150 $1,450
Day 2 200 250 $1,750
What is the cost of a hamburger and the cost of a hot dog?
Enter your answers in the boxes.
Hamburger: $
Hot dog: $
the population of a bacteria culture doubles in number every 12 minutes. the ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the beginning of the hour is? ...?
Answer:
32
Step-by-step explanation:
Let X be the number of bacteria at the initial time.
At 12 minutes = 2 X
At 24 minutes = 4X
At 36 minutes = 8X
At 48 minutes = 16X
At 60 minutes = 32X
The ratio between the final and the initial instant will be: 32X / X = 32
What is the area of a regular octagon with 12 as each side. Round to nearest hundredth.
ABCD ~ WXYZ. AD=12, DC=3 AND WZ=35. FIND YZ.
THE FIGURES ARE NOT DRAWN TO SCALE.
The unknown length YZ can be found through the ratios of corresponding sides in similar figures ABCD and WXYZ. Given AD=12, DC=3, WZ=35, the equation 3/YZ = 12/35 is formed. Solving for YZ, we find that YZ is 8.75.
Explanation:In the given question, ABCD and WXYZ are similar figures which mean the ratio of corresponding sides are equal. So, the ratio AD/WZ equals to the ratio DC/YZ. Given, AD=12, DC=3 and WZ=35. The length of YZ can be found by cross multiplying these ratios.
So, DC/YZ = AD/WZ.
By substituting the given values:
3/YZ = 12/35.
To find YZ, we simply cross-multiply and solve for YZ:
3 × 35 = 12 × YZ,
Hence, YZ = (3 × 35) / 12, which is 8.75 units.
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£1800 is invested at4% compound interest per year.
How many years will it take for the investment to be worth £2000?
which of the following is a Pythagorean triple?
A. 3,4,6
B.7,25,26
C.15,21,25
D.9,40,41
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) form two line segments, AB and CD , which of these conditions needs to be met to prove that AB is perpendicular to CD?
see attachment for choices
Answer:
[tex]\frac{y_4-y_3}{x_4-x_3}\times \frac{y_2-y_1}{x_2-x_1}=-1[/tex]
Step-by-step explanation:
We know that,
If two line segments are perpendicular then the product of their slope is equal to -1,
Also, the slope of a line segment having the end points [tex](x_n,y_n)[/tex] and [tex](x_m,y_m)[/tex] is,
[tex]m=\frac{y_m-y_n}{x_m-x_n}[/tex]
So, the slope of line segment AB having end points [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex] is,
[tex]m_1=\frac{y_2-y_1}{x_2-x_1}[/tex]
Similarly, the slope of line segment CD having end points [tex]C(x_3,y_3)[/tex] and [tex](x_4,y_4)[/tex] is,
[tex]m_2=\frac{y_4-y_3}{x_4-x_3}[/tex]
Hence, by the above property of perpendicular line segments ,
If AB and CD are perpendicular then,
[tex]m_1\times m_2=-1[/tex]
[tex]\implies \frac{y_4-y_3}{x_4-x_3}\times \frac{y_2-y_1}{x_2-x_1}=-1[/tex]
Third option is correct.
60 minutes is 20% of ? minute s
One pipe can fill a swimming pool in 8 hours. Another pipe takes 12 hours. How long will it take to fill the pool if both pipes are used simultaneously?
simplify 8a+4b-3a+5b
The simplified form of the expression [tex]8a+4b-3a+5b[/tex] is [tex]\boxed{5a+9b}[/tex].
Further explanation:
The given expression is [tex]8a+4b-3a+5b[/tex].
The given expression consists of [tex]2[/tex] different variables [tex]a[/tex] and [tex]b[/tex]. These variables can take any values since, its value is not fixed.
An algebraic expressions are formed if different variables and are added, subtracted, multiplied and divided.
The given expression is obtained when the variable [tex]a[/tex] and variable [tex]b[/tex] is added and subtracted with multiplication with different integers.
In the given expression there are [tex]4[/tex] terms with each term having different coefficients.
Like terms in the given expression are those whose algebraic factors are same that is [tex]8a[/tex] and [tex]-3a[/tex] are like terms and [tex]4b[/tex] and [tex]5b[/tex] are like terms.
The given expression is a binomial since, it have two unlike terms.
To simplify the given expression first we have to identify the like and unlike terms.
The like terms are [tex]8a[/tex] and [tex]-3a[/tex] and other set of like terms are [tex]4b[/tex] and [tex]5b[/tex]
Since, [tex]a[/tex] and [tex]b[/tex] are variable and they are numbers they can be added or subtracted using distributive property.
[tex]8a[/tex] and [tex]-3a[/tex] are subtracted as follows:
[tex]\begin{aligned}8a-3b&=(8\cdot a)-(3\cdot a)\\&=(8-3)\cdot a\\&=5\cdot a\\&=5a\end{aligned}[/tex]
[tex]4b[/tex] and [tex]5b[/tex] are added as follows:
[tex]\begin{aligned}4b+5b&=(4\cdot b)+(5\cdot b)\\&=(4+5)\cdot b\\&=9\cdot b\\&=9b\end{aligned}[/tex]
Therefore, simplified form of the given expression is [tex]5a+9b[/tex] since both are positive terms.
Thus, the simplified form of the expression [tex]8a+4b-3a+5b[/tex] is [tex]\boxed{5a+9b}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Algebraic expressions
Keywords: Simplify, 8a+4b-3a+5b, expression, 5a+9b, terms, coefficients, like, unlike, addition, subtraction, variables, values, distributive property, like terms, unlike terms.
15 percent of 45.4 is what?
The only part of the United States explored by Russia was the:
A : Hudson River
B : Southwest and Mexico
C : Mississippi River
D : Northwest coastline
Answer:
d
Step-by-step explanation:
d
What is the vertex of the absolute value function defined by ƒ(x) = |x - 7| + 1?
(7,1)
(-7,-1)
(-7,1)
(7,-1)
Answer: [ 7,1 ]
Step-by-step explanation:
this is the answer on odyssey ware.
the total amount of degrees in the center is 360 degrees if all five vertex angles meeting the center are congrent what is the measure of a base angle of one of the triangles
A) 54 degrees
B) 72 degrees
C) 108 degrees
D) 144 degrees
Answer:
(B) 72°
Step-by-step explanation:
what is an acrostic poem for the word triangle?
Final answer:
An acrostic poem for the word 'triangle' is a creative way to convey various attributes of the geometric shape or to create a poem with each line starting with the corresponding letter. The poem can be directly related to the properties of a triangle or more abstract.
Explanation:
An acrostic poem uses the first letter of each line to spell out a word vertically. For the word 'triangle', an acrostic poem might be a creative way to describe the characteristics of a triangle, or it could be abstract, using each letter to begin a line that doesn't necessarily relate to the shape but instead creates a coherent poem.
Here is an example of an acrostic poem for the word 'triangle':
Three sides enclosing space,
Reminder of structure and base,
In geometry, an essential grace,
Angles acute, obtuse, or right,
Nestled within, points of light,
Guiding principles of design,
Lines intersect by plan divine,
Eternally, three lines combine.
Remember, while writing an acrostic for 'triangle', you may also use the opportunity to incorporate into your poem mnemonics for the relationships between the sides and angles of a right triangle, such as 'SOHCAHTOA', or explore the figurative and metaphorical implications of the shape as referenced in literary examples or the sciences.
the temperature was 8 below zero in the morning and dropped 12 degrees during the afternoon. what was the temperature late in the afternoon
The temperature was -20 in the afternoon.
What are arithmetical operations?The arithmetic operators are addition, subtraction, multiplication and division. The arithmetic operators are applied between two or more numbers or quantities.
Given that, the temperature was 8 below zero in the morning and dropped 12 degrees during the afternoon.
We need to find the temperature late in the afternoon.
We know,
8 below zero is -8 degrees.
Now it is saying that the temperature dropped by 12 degrees,
Therefore,
-8 -12
-8 + (-12) = -20
Hence the temperature was -20 in the afternoon.
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A scientist had 3/ 5 liter of solution. He used 7/ 12 of the solution for an experiment.
How many liters of solution did the scientist use for the experiment
Which of the following represents the graph of f(x) = 2x + 2? i will give a medal if you help cooperatively
prove:
when xz= yz then x=y if z is not equal to zero
-----
0.66 = 6/10
66/100
2/3
What is an equivalent decimal for 29/30?
Tomorrow, 567 people will want tickets to concert. only 417 tickets are available. how many people will be able to get tickets?
HELP ASAP!!!
The markup on appliances at Tom’s store is 50%. If the wholesale price of a dishwasher is $380, what price will Tom list when selling the dishwasher?
A. $570
B. $665
C. $760
D. $950
280 divided by 30 what is it
The division yields to quotient is 9, and there is 10 as remainder
We have to divide 280 by 30.
So, the division performed as
30 | 280 | 9
270
-______
10
So, the quotient is 9, and there is 10 as remainder.
So, 280 divided by 30 is equal to 9.33 (rounded to two decimal places) or simply 9.
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For the function f(x)=x+5, what is the ordered pair for the point on the graph when x=4w?
Answer:
(4w, 4w + 5)
Step-by-step explanation:
Which point satisfies the equation 2x+3y=8? A) (-1,3) B) (2,2) C) (-2,4) D) (1,4)
The point that satisfies the equation 2x+3y=8 is (1,4).
Explanation:To find the point that satisfies the equation 2x + 3y = 8, we can substitute the x and y values from each option into the equation and see which option makes the equation true.
Let's try option A, (-1,3): 2(-1) + 3(3) = -2 + 9 = 7, which is not equal to 8.
Continuing this process for options B, C, and D, we find that the point (1,4) satisfies the equation 2x + 3y = 8.
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Henry wanted to make two bakery items. One recipe called for 1 1/4 cup of sugar and the other for 2/3 cup of sugar. How much sugar does he need?
A. 1 11/12
B. 1 1/12
C. 1 3/7
D. 1 1/4
Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:
Group A (distance in miles)1 1.589.26.84.54.82.50.76
Group B (distance in miles)22.53.231.31.82.431.51.8
Which statement best compares the mean distances for the two groups?
A. It is equal for Group A and Group B.
B. It is greater for Group B than Group A.
C. Its value for group A is double the value for Group B.
D. Its value for group B is three times the value for Group A.