Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5
The given function is:
f(x) = ax - 5
If f(4) = 15, then x = 4
Substitute x = 4 into f(x) = ax - 5
f(4) = a(4) - 5
15 = 4a - 5
Solve for a by adding 5 to both sides
15 + 5 = 4a - 5 + 5
20 = 4a
Divide both sides by 4
4a/4 = 20/4
a = 5
Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5
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A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.
According to the two-way table, the correct option is:
10% of her customers ordered an appetizer and dessert.From the table, it is taken that:
0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.Hence, the highlighted 0.1 = 10% means that:
10% of her customers ordered an appetizer and dessert.You can learn more about two-way tables at https://brainly.com/question/24670062
The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible
The different selections of one meat and one vegetable are possible are 18 selections.
Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.
Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.
So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6
= 18 selections
So, the different selections of one meat and one vegetable are possible are 18 selections.
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Find the area of the equilateral triangle.
Answer:
try 6.93 for answer on equilqteral triangle
what The Potageriterum
Answer:
Thick soup."coarse, spicy potage"A potage is a category of thick soups, stews, or porridges, in some of which meat and vegetables are boiled together with water until they form into a thick mush.Hope this helps you !!Four times a number is equal to the number increased by 24 find the number
Answer:
8Step-by-step explanation:
Let the number is x.
Translate the given into equation and solve for x:
4x = x + 244x - x = 243x = 24x = 8the difference of 3 times a number and 18 is 39 what is the number
Answer: 39
(3*(19))-18 = 39
57-18 = 39 we have the correct answer
which relation is a function? PLEASE HELPPPPP
Step-by-step explanation:
in the first
x =2y
actually I don't think that I can get the last two relations
A family buys a studio apartment for 240,000. They pay for a down payment of 72,000.
A: their down payment is what percent of the purchase price?
B.what percent of the purchase price would a 108,000 down payment be ?
Answer:
A. 30% B. 45%
Step-by-step explanation:
A. 72,000/240,000 = x/100
(72,000)(100) = (240,000)x
7,200,000 = 240,000x
30 = x
B. 108,000/240,000 = x/100
10,800,000 = 240,000x
45 = x
Use the graph to find the distance between point A and Point E.
Answer:
7
Step-by-step explanation:
ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
Answer:-Given,Land owned by Ricky = 6 hectares
No. of sons = 7
Now,6 ÷ 7 = 0.8571429 or 0.86
→ Each son will own 0.86 hectares of land. Option b. 0.86 is the answer.
х Y
2 4
4 5
7. 6.5
Write the equation of the line represented by the table
Answer:
y = 0.5x + 3
Step-by-step explanation:
Pls help , congruent triangles exercise.
Step-by-step explanation:
We can prove KK'M and LL'M are congruent by using ASA (Angle side angle). Angle side angle means that if we know two angles and one side, we can prove that they are congruent.
First, we know that ∠KMK' = ∠LML' because they are alternative angles. (That's our fist A)
Next, The problem states that KK' and LL' are equal. (so that gives our S)
Finally, we know that ∠ML'L and ∠KK'M are both 90 degrees, making them both equal. (That's our final A)
Hope this helped :D
Someone help, thanks
Answer:
i speak very little english sorry
Step-by-step explanation:
Please help me with equation and more points for you if you can help me with how to approach these types of questions in the future, thanks!
Consider the following formula:
T = 4S – 1
Which of the following statements is true for this formula?
A. If S is greater than 0.5, T is positive.
B. If S is less than 1, T is negative.
C. If S is less than -0.25, T is positive.
D. If S is less than 0.25, T is positive.
A. If S is greater than 0.5, T is positive.
The others are false
Expression:
Simplify 2s - s + 6s
Please explain step by step how I get the answer to get marked as brainliest
Answer:
7s.
Step-by-step explanation:
2s - s + 6s (Given)
Rembember that - s is the same as - 1s because there is an invisible 1.
So, 2s - 1s = 1s or s.
1s + 6s = 7s.
2s - s + 6s (Given)
7s (Combine like terms)
Guys I need your help
There are 16 ounces in 1 pound John is mailing a package that weighs 10 pounds he wants to know the weight of the package in 1 ounce complete the statement to describe how to convert pounds to ounces to find weigh in ounces blank the number of pounds by unit rate blank ounces per pound
Answer:
multiply
16
Step-by-step explanation:
yeah-ya....... right?
How can you solve multistep equations that represent real world
scenarios?
The scale of a blueprint is 3 inches : 10 feet. On the blueprint, a house is 9 inches
a
long. What is the length in feet of the actual house?
Answer:
30/5=68x6=48 feet
Step-by-step explanation:
divide the demesions
what is the value of x that makes the equation 8 x -4 equal 96 true
Answer:
x= 12.5 or 25/2
Step-by-step explanation:
8x - 4 (+4) = 96 (+4)
8x (/8) = 100 (/8)
x= 12.5 or 25/2
A couple can afford to make a monthly mortgage payment of $700. If the mortgage rate is 2% and the couple intends to secure a 30-year mortgage, how much can they borrow?
========================================================
Explanation:
r = 0.02 = decimal form of 2% annual interesti = monthly interest ratei = r/12 = 0.02/12 = (2/100)/12 = 1/600.n = number of months = 12*30 = 360P = monthly payment = 700We'll plug those items into the formula below.
L = loan amount
L = P*( (1+i)^n - 1)/( i*(1+i)^n )
L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )
L = 189,383.961539639
L = 189,383.96
The couple can afford to borrow at most $189,383.96
%
Only 30% of the donuts are left in the box after the party. I counted the
donuts and there are 18 donuts left. How many donuts were in the box to
start with?
donuts
Answer:
It's be 60 because 30% of 60 is 18. Hope that helped :)
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]y = {x}^{2} [/tex]
[tex]y = 4x[/tex]
; about the y-axis
well, first off, when it comes to volumes by rotation, we'd want to graph them, Check the picture below. Our rotation over the axis will give us a "washer", so we'll be using the washer method.
now, our axis of rotation is the y-axis or namely x = 0, x = 0 is a vertical line, meaning we have to put the functions in y-terms, that is in f(y) form
[tex]y = x^2\implies \pm\sqrt{y}=x\implies \boxed{\pm\sqrt{y}=f(y)} \\\\\\ y = 4x\implies \cfrac{y}{4}=x\implies \boxed{\cfrac{y}{4}=g(y)}[/tex]
if we look at the picture, the parabola is the farthest from the axis of rotation and the line is the closest, or namely R² and r² respectively.
the way I get the area for R² and r², is by using the same I do with "area under the curve", so if I say call the axis of rotation h(y), the way I get the area is
R => f(y) - h(y)
r => g(y) - h(y)
so let's proceed.
[tex]\textit{area under the curve}\\ \begin{array}{llll} \sqrt{y}- 0\implies &\sqrt{y}\\ \frac{y}{4}-0\implies &\frac{y}{4} \end{array}\qquad \qquad \begin{array}{llll} \stackrel{R^2}{(\sqrt{y})^2}-\stackrel{r^2}{\left( \frac{y}{4} \right)^2}\\[-0.5em] \hrulefill\\ y\qquad -\qquad \frac{y^2}{16} \end{array}[/tex]
now, we want to get the area enclosed by both, and thus we'd need their points of intersection, setting both to [tex]\sqrt{y}=\cfrac{y}{4}[/tex] which in short gives us the bounds of 0 and 16.
[tex]\pi \displaystyle\int_{0}^{16}\left( y - \cfrac{y^2}{16} \right)dy\implies \pi \int_{0}^{16}y\cdot dy-\pi \int_{0}^{16}\cfrac{y^2}{16}\cdot dy\\\\\\\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^{16}-\pi \cdot \left. \cfrac{y^3}{48} \right]_{0}^{16}\implies 128\pi -\cfrac{256\pi }{3}\implies \boxed{\cfrac{128\pi }{3}}[/tex]
Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.
Answer:
克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何
How would you express sin(-a-b)
Answer:
-4-7
Step-by-step explanation:do 4 and 7
I need help with this ASAP
Answer:
32+24=8(4+3)
20+8=4(5+2)
100+75=25(3+4)
49+28=7(7+4)
32+24=12(3+2) I don't know if this is right because 12 times 3 is 36 but that was the last option
Step-by-step explanation:
it's distributive property you multiply the numbers on the inside by the numbers on the outside.
Alyssa’s bank charges $0.15 for each check written, $0.25 per ATM transaction, and a monthly fee to maintain a checking account. The table shows Alyssa’s checking account activity for December.
HLEPPPP huryyyyyyy
Answer:
Correct answer: 2.25
how can 26n-7m+4(10n-6m)
Answer:
66n-31m
Step-by-step explanation:
26n-7m+4(10n-6m)
26n-7m+40n-24m
66n-31m
PLEASE HELP ME!!!!!!
B or D so sorry these ones are confusing written like this.
Gave a lovely weekend.
1plss help, it time.............................
Answer:
24 in
Step-by-step explanation:
Compare "like" things:
Big/small = Big/small
30/L = 10/8
Crossmultiply
240 = 10L
Divide by 10
240/10 = 10L/10
24 = L
Which best describes reduced fractions that will always terminate?
A.
reduced fractions with denominators that are factors of only 5
B.
reduced fractions with denominators that are factors of 2 or 5
C.
reduced fractions with denominators that are factors of only 5 or 7
D.
reduced fractions with denominators that are factors of only 2 or 3
Answer:a
Step-by-step explanation:
Reduced fractions with denominators that are factors of 2 or 5. Therefore, the correct answer is option B.
Terminating decimals are integers with a definite or finite number of digits following the decimal point. Like fractions, decimal numbers are used to represent a portion of a whole. This course will concentrate on the type of decimal numbers known as terminating decimal numbers. The word 'terminate' means to put a stop to something. In decimal terms, it is a number that comes to an end.
Here are a few tips to assist you identify a terminating decimal number.
A non-rational number is never an ending decimal number.If the denominator of a simplified rational number can be expressed in the manner [tex]2^p5^q[/tex] or [tex]2^p[/tex] or [tex]5^q[/tex], where p, q N, then the number has a terminating decimal expansion.After the decimal point, a terminating decimal number always has a finite number of digits.Therefore, the correct answer is option B.
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