Answers
Answer:
f(h(-1)) = -1
Step-by-step explanation:
f(x) = (x-4)/3
h(x) = 3x + 4
f(h(-1)) = ?
So first off we need to solve for h(-1):
h(x) = 3x + 4
h(-1) = 3(-1) + 4
h(-1) = 1
Next, we plug this value into the f(x) equation:
f(x) = (x-4)/3
f(1) = (1-4)/3
f(1) = -1
f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)
Thus we can say that f(h(-1)) is equal to -1
Related Questions
If the mean value test score in a math class was an 82%
and there were 25 students in the class, how much
would the mean score increase if another student scored
a 100%?
Answer :
Answers
The mean score would increase by approximately 0.69% if another student scored 100%.
How to calculate the new mean score
To calculate the new mean score after one more student scored 100%, we need to find the new total score and divide by the new number of students.
The initial total score is 82% x 25 = 2050%.
If one more student scores 100%, the new total score will be 2050% + 100% = 2150%.
The new number of students is 26.
The new mean score is:
2150% ÷ 26 = 82.69%
Therefore, the mean score would increase by approximately 0.69% if another student scored 100%.
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Find the slope-intercept equation of the line that has the given characteristics.
Slope 8 and y-intercept (0,9)
Answers
The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.
To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given:
Slope (m) = 8
Y-intercept (0, 9)
We can substitute these values into the slope-intercept form:
y = mx + b
y = 8x + 9
Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).
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The multiplicative inverse of a number is also called its _______________.
Answers
Answer:
Step-by-step explanation:
There are 200 kids in the 7th grade at smith middle school. If 25% of them purchase a school t-shirt that costs $20, how much money did the 7th grade spend on t-shirts?
Answers
Answer:
$1,000.
Step-by-step explanation:
200 kids divided by 25% or 4 = 50 then 50 x 20 = 1,000.
206) A recipe for cupcakes calls for 3-
3
10
200
7
sugar. Julio accidentally put in 4-
10
How many extra cups did he put in?
cups of
cups.
Answers
Julio accidentally put in an extra 1/10 cup of sugar.
To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).
The difference can be calculated as follows:
Actual amount - Required amount = Extra amount
= 4/10 - 3/10
= 1/10
Therefore, Julio accidentally put in an extra 1/10 cup of sugar.
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Mme potatana ask the children to count as a whole class from 1 to 20 Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count. in your view support the method that you find important to enhance the strong number sense. Provide appropriate examples for your chosen method.
Answers
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
In order to enhance strong number sense in children, there are various methods that can be used.
In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.
Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.
This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.
Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:
1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.
2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.
3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.
Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
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The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
Answers
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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ILL MARK BRAINLIST pls help
Answers
You cut out the question-
pls complete these two questions! 80 points!!
Answers
3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).
3b. The equation in slope-intercept form is y = 1/2(x) - 2.
4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).
4b. The cost of operating a car that has been driven 31250 km is $3892.086.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Part 3.
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 + 2)/(4 - 0)
Slope (m) = 1/2
At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y + 2 = 1/2(x - 0)
y = 1/2(x) - 2
Part 4a.
Based on the information provided about Jay's business, we would determine the slope of the line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3900 - 3875)/(2000 - 19375)
Slope (m) = 25/-17375
Slope (m) = -1/695
At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3875 = -1/695(x - 19375)
Part 4b.
For the cost when x = 31250 km, we have:
y - 3875 = -1/695(31250 - 19375)
y = 17.086 + 3875
y = $3892.086.
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PLEASE ANSWER ASAPP!!!
For what value of y must LMNP be a parallelogram?
Answers
Answer:
113° = y
Step-by-step explanation:
y = 180 - 67
y = 113°
Hope this helps!
the angles are supplementary
Median of 3,6,9,7,4,6,7,0,7
Answers
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
Answers
The statement that is true about the function is:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).What is the function of a graph?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have:
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.
Hence, the correct option is A.
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On its own, 5 � � 5ab5, a, b is the product of
Answers
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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13. On weekends, as part of his exercise routine, Carl goes for a run, partly
C on paved trails and partly across rough terrain. He runs at 10 km/h on
the trails, but his speed is reduced to 5 km/h on the rough terrain. One
day, he ran 12 km in 1.5 h. How far did he run on the rough terrain?
Answers
Answer:
5*a+10*b=12,
a+b=1.5
Step-by-step explanation:
1. VOCABULARY Copy and complete: 'Two polygons are similar if
corresponding angles are ? and corresponding side lengths are ?.
Answers
Answer:
?????????????????/?
Step-by-step explanation:
Find the perimeter of the figure.
9 ft
9 ft
9 ft
9 ft
30 ft
perimeter:
ft
Answers
Answer: 66
Step-by-step explanation: 9+9=18 18+9+9= 36+30=66
A solution has a pH of 10.3. When a solid is dissolved in the solution, the pH changes to 9.6. What can be inferred from this observation? (2 points)
Answers
Answer:
We see that the original material was a base, after adding the other material into the base it reduces its basicity.
So we can infer that the substance added was an acid as if we add bases it will increase the basicity.
PLZ MARK BRAINLIEST
A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answers
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
Make x the subject of m=n+ x/p
Answers
Answer:
x = p(m-n)
Step-by-step explanation:
making 'x' the subject means to change the equation to 'x=' instead of 'm='
since 'x' is being divided by 'p' we can multiply each side of the equation by 'p' to get:
pm = pn + x
now we can subtract 'pn' from each side to get:
pm - pn = x
we can simplify this to become: x = p(m-n)
Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if each napkin is 1 foot by 1 foot?
Answers
Find the area of the fabric 12x6=72
Area of napkins 1x1 =1
divide fabric by napkins
72/1=72 napkins can be made
Mahalia can make a total of 18 napkins using the fabric which she has bought.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
Given that,
She has 12 inches wide and 6 yards long fabric.
Since 1 yards = 36 inches.
So,
6 yards = 6 × 36 = 216 inches.
Now,
The total surface area of napkins ⇒ 12 × 216
⇒ 2592 inch²
Area for 1 napkin = 1 foot × 1 foot
Since 1 foot = 12 inches
So,
Area for 1 napkin = 12 × 12 = 144 inch²
Number of napkins can be made = The total surface area of napkins / Area for 1 napkin
Number of napkins that can be made = 2592 inch² / 144 inch²
⇒ 18
Hence "Mahalia can make a total of 18 napkins using the fabric which she has bought".
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Write ( 7 x 1 ) + ( 4 x 1 /10 ) + ( 6 x 1 /1000 ) in standard form place value
Answers
Answer:
7.406
Step-by-step explanation:
7.406 in standard form
how many pattern blocks rhombuses would 4 triangles create
Answers
Four triangles can create a set of pattern blocks that includes a total of four rhombuses.
To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.
To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.
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Root of the equation
Answers
Answer:
A fancy way of saying "solutions" of the equation
If m∠J = 44°, what is m∠I?
Answers
Answer:
6666
Step-by-step explanation:
Can someone help me please i need help with this problem
Write an equation for a rational function with:
Vertical asymptotes at x = -2 and x = 6
x-intercepts at x = 5 and x = -1
y-intercept at 4
y =
Answers
Answer: (-2, 4)
Step-by-step explanation:
Use the LCD to rewrite
3/4 5/8 1/10
with the same denominator.
Answers
3/4 to get to 40 you multiplied by 10 so it would be 30/40
5/8 would be 25/40
1/10 would be 4/40
g(x) = 3x – 3, Find g(-3x)
Answers
Answer:
g(-3x) = -9x - 3
Step-by-step explanation:
Step 1: Define function
g(x) = 3x - 3
g(-3x) = x = -3x
Step 2: Substitute
g(-3x) = 3(-3x) - 3
g(-3x) = -9x - 3
What is the distance between the points (4, -2) and (-5,3)?
Answers
Answer:
(5,-9)
Step-by-step explanation:
use formula \(y^2-y^1/x^2-x^1\)
so, 3-(-2)/-5-4
which gives you (5,-9)
Correct answer gets brainliest!!!!
Answers
Answer: I believe the only option would be Length.
The length determines the distance between the two endpoints.
I can't think of a reason why you'd need to use height or width when measuring a line on a graph. Besides if it were height, it'll just be the length of the line when vertical. And all generated graphed lines have the same width. You wouldn't need to measure it.
Hopefully it's correct.
what is the proverb which says we must make our plan fit the circumstances