Answers
Answer:
-1
Step-by-step explanation:
By the rule of the functions, 10.[f(7)] + 9[g(-1)] = -1
From the graph attached,
Blue curve represents the function 'f' and the purple curve represents function 'g'.
We have to find the value of the expression with the help of the graph attached,
For a function y = f(x), (x, y) is a point on the curve representing the values on x-axis and y-axis respectively.
Given expression → 10[f(7)] + 9[g(-1)]
Since, y = f(x)
Therefore, for x = 7 y-value will be,
y = f(7) = -1
Similarly, y-value of the function 'g' at x = (-1) will be,
y = g(-1) = 1
By substituting these values in the expression,
10.[f(7)] + 9.[g(-1)] = 10(-1) + 9(1)
= 10(-1) + 9
= -10 + 9
= -1
Therefore, 10.[f(7)] + 9[g(-1)] = -1 will be the answer.
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Related Questions
kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 65º. Find the length of the string. Round your answer to
the nearest tenth.
Answers
hope it helps!
Answer:
107.9 ft
Step-by-step explanation:
Imagine Kite is a point A. The person ,who keeps the string is point B.
The height of flying is AC=85 ft. So we have right triangle ABC :angle C=90 degrees, angle B is 52 degrees. Length of AB (triangle ABC hypotenuse) is the length of the string.
AB=AC/sinB=85/sin52=107.8665...=approx 107.9 ft
The length of the string is 86.1 ft.
As per the given data:
Height of the kite flying from the ground = 78 ft
The angle of elevation of the kite from the ground = 65°
From the diagram, we can clearly observe the right-angled triangle with perpendicular as 78 ft if formed.
The length of the string is the hypotenuse.
By using the trigonometric ratio sinθ.
sinθ = Perpendicular / Hypotenuse
sin65° = 78 / Hypotenuse
0.906 = 78 / Hypotenuse
Hypotenuse = 78 / 0.906
Hypotenuse = 86.1 ft
Hence, the length of the string is 86.1 ft.
To learn more about Trigonometry, click:
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You deposited a check for $1,200 into your checking account that had a balance of $625 and it "bounced". You had written checks for $450, $225, $215, and $187. Your bank will pay the largest check that you wrote first. Your account is overdrawn, and the remaining checks written to pay monthly bills did not clear. Your bank charged you a $35 overdraft fee and each of the remaining creditors receiving bounced checks charged you a $25 late payment fee. What did the $1,200 check that "bounced" on you cost you?
Answers
Answer:
total cost = $110
Step-by-step explanation:
Your bank will charge you $35 as overdraft fee.
The bank will only pay one check for $450, so that means that 3 more checks will remained unpaid. Since your creditors charge you $25 per bounced check, then they will charge you 3 x $25 = $75.
Total costs = $35 + $75 = $110
Find the value of x.
81°
39°
X=??
PLEaSE ILL GIVE YOU BRAINLIEST AND 15 POINTS
Answers
Answer:
It's "P"
Step-by-step explanation: Please give me my 15 points
Answer:
X= 60º
Step-by-step explanation:
If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.
81º + 39º = 120º
180º - 120º = 60º
Therefore in conclusion, X would be 60º.
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can also be carried by the hot air balloon?
Answers
Answer:
8 sand bags can be carried along.
Step-by-step explanation:
First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.
Answer:
0, 5, 8
Step-by-step explanation:
What number is 10 times greater than 0.03? (Hint: Write it out as a MATH problem).
3.0
0.3
0.003
0.030
Answers
Answer:
0.3
Step-by-step explanation:
10 x 0.03 = 0.3
Elise jarred 36 liters of jam after 6 days.How many days does Elise need to spend making jam if she wants to jar 48 litera of jam in all?Assume the relationship is directly proportional.
Answers
Answer:
The answer is 8 days.
Step-by-step explanation:
36 divided by 6 is 6. So we do 48 divided by 6 which is 8. Both 36 and 48 can be divided by 6.
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary. A(0,9) B(4,9) C(0, 1)
Answers
Answer:
Area = 16 cm²
Perimeter = 20.9 cm
Step-by-step explanation:
To find the perimeter and area of the given triangle length of all sides of the given triangle will be required.
Use the formula to determine the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between A(0,9) and B(4, 9),
AB = [tex]\sqrt{(4-0)^2+(9-9)^2}[/tex] = 4 cm
Distance between A(0,9) and C(0, 1),
AC = [tex]\sqrt{(0-0)^2+(9-1)^2}[/tex]
AC = 8 cm
Distance between B(4, 9) and C(0, 1),
BC = [tex]\sqrt{(4-0)^2+(9-1)^2}[/tex]
BC = [tex]\sqrt{16+64}[/tex]
= [tex]\sqrt{80}[/tex]
= [tex]4\sqrt{5}[/tex]
= 8.9 cm
Area of ΔABC = [tex]\frac{1}{2}(\text{AC})(\text{AB})[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 cm²
Perimeter of the triangle = AB + AC + BC
= 4 + 8 + 8.9
= 20.9 cm
The equation below describes a proportional relationship between x and y. What is the constant of proportionality?
y= 2/5x
Answers
Answer:
10
Step-by-step explanation:
Given the function g(x)=x^2+3 ,evaluate (-2,y)
Answers
Answer:
im not sure if this is what you're looking for but g=x^4 and the y intercept is g(0)=0
Step-by-step explanation:
PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?
Answers
A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
∘
C20, point, 66, degrees, start text, C, end text and a standard deviation of 2 ^\circ \text{C}2
∘
C2, degrees, start text, C, end text. The average temperature of Singapore is 26 ^\circ \text{C}26
∘
C26, degrees, start text, C, end text.
What proportion of average city temperatures are lower than that of Singapore?
You may round your answer to four decimal places.
Answers
Answer:
0.9962
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]
μ = 20.66°C, σ = 2°C
For x < Singapore temperature, i.e. x < 26
[tex]z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67[/tex]
From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962
Find the midpoint of the segment with the given endpoints.
(0,0) and (6.-8)
Answers
PLZZZ HELP!! I WILL GIVE BRAINLIEST
Answers
Answer:
I say answer number 2
Step-by-step explanation:
Solve the equation for x 6x-18-3x<27-2x
Answers
Answer:
x<9
Step-by-step explanation:
How do you make (39x5) in distributive property
Answers
Answer:
Assuming you are asking the simple question of 39x5=195Step-by-step explanation:
By taking 9x5 = 45 and 3x5 = 15 add 4 to 15.simplify 5(b – 4) + 12 and do a step by step
Answers
a dice numbered 1-6 is rolled 20 times.How many times will a number less than 4 show?
a.5
b.10
c.15
d.never
Answers
Please help me out with problem 2.
Answers
Image is too blurred.
Try taking another one.
Answer:
Step-by-step explanation:
I will be using all caps for variables
Solve for L
V = LWH
/ WH /WH
V/WH = L
Solve for H
V = LWH
/LW /LW
V/LW = H
Cameron found a jacket marked 20% off. If the original price is $90, how much is the discount?
Answers
Answer:
$18.
On your calculator subtract 20% from 90, which will get you 18. The new price would now be $72.
Is the inverse of the function shown below also a
function? Explain your answer.
Answers
Answer:
Yes it is
Step-by-step explanation:
It is a function because it passes the vertical line test
Answer:
If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function.
Step-by-step explanation:sample answer
2(4+c)=67 help solve for c
Answers
Answer:
c = 29.5 or
c = 59/2
Step-by-step explanation:
2 (4 + c) = 67
8 + 2c = 67
8 - 8 + 2c = 67 - 8
2c = 59
c = 29.5
What is the distance between (2, 8) and (-7, 8)?
Answers
Answer:
9
Step-by-step explanation:
The distance between (2,8) and (-7,8) is 9
Answer:9
Step-by-step explanation:
which expression is equivalent to -10 (-40) + (-90) ?
A. 10 + 40 + 90
B. -(10-40) + (-90)
C. -10 - (40 - 90)
D. -10 + (-90) + (-40)
PLS HELP
Answers
Answer:B
Step-by-step explanation:-10 times -40 is -400 times -1 is 400.
Which number completes the table for y=x^2?
-9
9
6
-6
Answers
Answer:
9
Step-by-step explanation:
Plug-in -3 into y=x^2 to get 9.
What is 32.6 rounded to the nearest hundredth?
Answers
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss
Answers
(X + 5) * -2 = 6
X+ 5 = -3
X = -8
Find the sum of the two matrices: 17 12 −3 −2 + −4 −1 8 14 = w x y z w = x = y = z =
Answers
Answer:
w =
13
x =
11
y =
5
z =
12
Your school district cancels school when more than 2.5 inches of snow accumulate on the ground each hour. Snow is currently accumulating at a rate of 115 inches per hour. Select an inequality that represents the extra snow accumulation s (in inches per hour) needed to cancel school. Then solve the inequality.
A11/5 + s > 2.5
B 11/5 + >= 2.5
C 11/5 - s > 2.5
D 11/5 - s >= 2.5
Answers
Answer:
it is A ll/5 +s>2.5
Step-by-step explanation:
which of the following equations represents the sequence 17,14,11,9... ?
Answers
Answer:
Subtract 3
Step-by-step explanation:
Each time the following number decreases by 3
1. Split the biconditional into two conditionals: Zipzorps
are jumpy if and only if Flygers are therapeutic.
Answers
Answer:
Conditional: If ZipZorps are jumpy, then Flygers are therapeutic.
Converse: If Flygers are therapeutic, then ZipZorps are jumpy.
Step-by-step explanation:
ZipZorps are jumpy.
Flygers are therapeutic.
These are the 2 statements.
You have to have a true conditional and converse statement to create a biconditional statement.
