The value of the expression -8 * f(0) + 4 * g(-8) is -60
Complete questionIf the following equations represent the functions f(x) and g(x).
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate the value of -8 * f(0) + 4 * g(-8)
How to determine the value of the expression?We have:
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate f(0) and g(-8)
f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15
Evaluate
f(0) = 7 and g(-8) = -1
Substitute the above values in the following expression
-8 * f(0) + 4 * g(-8)
So, we have:
-8 * 7 + 4 * -1
Evaluate
-60
Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60
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Answer:
-32
Step-by-step explanation:
khan academy said so
Level 5:
C. Two motorcycles start at the same point. One travels 15 km due north and stops while the other travels 32 km due west
and stops. Which value is closest to the distance between the motorcycles when they are both stopped?
A. 28.3 km
B. 47.0 km
C. 35.3 km
D. 21.9 km
The Distance between the motorcycles is 35.3 km
Pythagoras theorem shows the relationship between sides in a right angled triangle.
The distance moved north, distance moved west and the distance between the motorcycles form a right angled triangle.
distance between the motorcycles² = distance moved north² + distance moved north²
Distance between the motorcycles² = 15² + 32²
Distance between the motorcycles² = 1249
Distance between the motorcycles = 35.3 km
Hence the Distance between the motorcycles is 35.3 km
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Molly watches television 3 hours less than Leslie in one
week. Leslie watches television for 72 hours in one week.
How many hours does Molly watch television?
Answer:
69 hours
Step-by-step explanation:
just subtract 72-3 and 69 is the answer
Answer:
Molly watches television for 69 hours
Step-by-step explanation:
72-3= 69
Please anyone help me on this
Can you type what it says I can't see it that well.
i cant really see the question
What is the equation of a vertical line passing through the point (−4, 7)? (5 points) a y = 7 b y = −4 c x = 7 d x = −4
Answer:
X=-4
Step-by-step explanation:
vertical line is in the form of X=a which is -4
Find missing side lengths
Answer:
[tex]y=30\sqrt{2}[/tex]
Step-by-step explanation:
[tex]In[/tex]Δ[tex]ABC[/tex]
[tex]tan45=AB/BC[/tex]
[tex]1=30/BC[/tex] [tex][tan45=1][/tex]
[tex]-------\\BC=30 \\-------[/tex] ⇒ [tex]OC=30\\[/tex]
[tex]and[/tex] [tex]In[/tex] Δ[tex]ABC[/tex]
[tex]Cos45=Bc/AC[/tex]
[tex]1/\sqrt{2} =x/y[/tex]
[tex]y=\sqrt{2}*x[/tex]
[tex]y=30\sqrt{2}[/tex]
------------------
hope it helps....
have a great day!!
The sales tax for an item was $18.80 and it cost $470 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
the answer is should be B but im not 100% sure.
Step-by-step explanation:
7. A 15-foot ladder is leaning against a building. The vertical distance from the ground to the
top of the ladder is 10 feet. Which is closest to x, the horizontal distance between the
base of the ladder and the building?
A. 17 feet
B. 23 feet
C. 11 feet
D. Not here
If an x-coordinate repeats, can a relation still be a function?
I need help right now
Answer:
No
Step-by-step explanation:
if you see any duplicates or repetitions in the x-values, the relation is not a function.
4-5c=6+9(8-7c)
State if it has one no or infinite solutions
Answer:
It has one solution.
Step-by-step explanation:
c = 37/29.
WHO CAN solve it Please !
Answer:
a) True
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]
Step-by-step explanation:
Step(i):-
Given that the definite integration
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha[/tex]
we know that the trigonometric formula
sin²∝+cos²∝ = 1
cos²∝ = 1-sin²∝
step(ii):-
Now the integration
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha = \int\limits^\pi _0 {(\sqrt{cos^{2} \alpha } } \, )d\alpha[/tex]
= [tex]\int\limits^\pi _0 {cos\alpha } \, dx[/tex]
Now, Integrating
[tex]= ( sin\alpha )_{0} ^{\pi }[/tex]
= sin π - sin 0
= 0-0
= 0
Final answer:-
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]
HELPPPP!!!!! What is the value of y?
B
60
А
5
с
Enter your answer, as an exact value, in the box.
y =
Answer:
y = 8.66
Step-by-step explanation:
tan 60° = y/5
1.7321= y/5
y = 8.66
Help please on my delta maths I’m desperate pleas it’s due by tonight
Answer: $21.60
Explanation: the phone originally costs $24 and is on a discount of 10%. this means that the price after the discount will be 90% of the original price, since the discount is 10% OFF.
to find 90% of 24, multiply 24 by .90, which is the decimal value of 90%.
24 x .90 = $21.60
Nora is definitely getting scammed because there's no way a phone is that cheap
Which of the following represents 104Σ6?
n=1
O (1 x 6) + (104 x 6) = 630
O (1x6) (104 x 6) = 3,744
O 6(104) = 624
O 6(104 - 1) = 618
Answer:
C. 6(104)=624
Step-by-step explanation:
edge quiz
The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
How to evaluate the sigma notation?The sigma notation is given as:
[tex]\sum \limits^{104}_{n = 1} {6}[/tex]
The above means that we add 6 in 104 places.
i.e. 6₁ + 6₂ + ................ + 6₁₀₄
The expression can be expressed using the following product
[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]
Evaluate the product
[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]
Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
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Which rectangle will have the largest area?
l = 6 cm, w = 5 cm
l = 6 cm, w = 7 cm
l = 4 cm, w = 10 cm
l = 9 cm, w = 4 cm
Help ASAP!!
Answer:
l = 6 cm, w = 7 cm
Step-by-step explanation:
ohn needs to serve some beer to a customer. At first he ordered 1 pint then he added 4 ounces more, then he decided to add 1/4 tablespoons more. John only has measuring cups which got him a bit confused. How many cups he needs to serve the customer to make it up to his order?
Answer:
the answer to this question 2 cups
Step-by-step explanation:
2 cups is equal to a pint
____________________
Answer:
the equation for that line would be y=0
Step-by-step explanation:
The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)
How do I Solve 6=18x
Answer:
1/3
Step-by-step explanation:
6=18x
for x
x=6/18
x=1/3
DUE SOON PLEASE HELP
Answer:
106 million tons
Step-by-step explanation:
Plastic takes up 24%, metal 8%, and 'other trash' 21%. Add those up and you get that those three take up a total of 53%. Now multiply 200 by 53% and you have 106 million tons.
31 7/8 - 2/7 = what
please i really need the answers for my school
Answer:
9/2
Step-by-step explanation:
C=3y
2
+4y+4
D=−7y
2
+3y−6
Answer:
Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...
Occupation: Engraver, inventor, and printer
Born: Johannes Gensfleisch zur Laden zum G...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
People also ask
Step-by-step explanation:
Graph the line with slope -1/2 passing through the point (-1,-2)
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]m = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (-1,2)[/tex]
Required
Graph the line
First, is to determine the equation of the line using:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
So:
[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]
[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]
[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]
Cross multiply:
[tex](y -2) * 2 = -1 * (x + 1)[/tex]
[tex](y -2) * 2 = -x -1[/tex]
Solve for y - 2
[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]
Solve for y
[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]
[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]
[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]
The above equation will then be plotted on the graph (See attachment)
Please help me fast if possible :(
Answer:
B
Step-by-step explanation:
Hi there!
The first one is addition because if she got more, we are adding to it.
The last one seems to be a multiplication problem, "each friend"
I am so sorry if this is wrong, Hope you have a good day/night.
Given m∠3+m∠8=180° .
Answer:
5.175117
Step-by-step explanation:
Please help fast!!! Thank you:)
Answer:
Step-by-step explanation:
1. 1.325 x 10^7 = 13,250,000
2. 1.02 x 10^-6 = 0.00000102
Answer:
1 one is correct
3 one is correct
5 one is correct
Step-by-step explanation:
Drag and drop a phrase to make the statement true. Triangles ABC and DEF are Response area. Two triangles, ABC and DEF. For triangle ABC, angle B is eighty degrees and angle C is sixty degrees. For triangle DEF, angle D is forty degrees and angle E is eighty degrees.
Answer:
similar
Step-by-step explanation:
i took the test and it was right.
Triangles ABC and DEF specified are similar triangles by Angle-Angle Similarity.
What is Angle-Angle similarity for two triangles?Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.
Sum of all angles of a triangle is 180 degrees.
For the triangle ABC, two of its angles are of 80 and 60 degrees, let its third angle be of D degrees, then:
[tex]80 + 60 + D= 180\\D = 180 - 60 - 80 = 40\text{\: \: (in degrees)}[/tex]
Since, triangle DEF also has two of its angles as 80 degrees and 40 degrees, thus, both the triangles ABC and DEF similar.
Learn more about similar triangles here:
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A 4-column table with 5 rows. The first column is labeled age (years) with entries 1, 2, 3, 4, 5. The second column is labeled given value with entries 15, 12, 9, 5, 4. The third column is labeled predicted with entries 14.8, 11.9, 9, 6.1, 3.2. The fourth column is labeled residual with entries 0.2, 0.1, 0, negative 1.1, 0.8. Which point would be on a residual plot of the data?
Answer:
3,0
Step-by-step explanation:
From the table we can say that the point which is residual plot of the data is (3,0).
What is residual plot?Residual plot shows the difference between observed and fitted values of the data. It is also known as null residual plot. In this random values in data is taken.
How to find point?We have been given the following table:
Age Value Predicted Residual
1 15 14.8 0.2
2 12 11.9 0.1
3 9 9 0
4 5 6.1 1.1
5 4 3.2 0.8
If we observe the table then we can find that the third row of fourth column contains 0 so the point which is residual plot of the data is (3,0).
Hence the point which contains the residual plot of the data is (3,0).
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Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
Equal sides and Equal angles
Step-by-step explanation:
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answer:
Incorrect
Step-by-step explanation:
Well since there is only 18 cups of dog food he will only be able to feed his dog for 18 days since he feeds his dog 1 cup a day.
Answer:
Incorrect
Explanation:
Maxwell's dog eats one cup of food a day. The bag contains only eighteen cups, so it will feed the dog for eighteen days. There will not be enough food to last Maxwell for 27 days. So, the answer is incorrect.
7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.
Answer:
5 is a constant
2 is a coefficient
7a + 5 + 2b is written as a sum of three terms
Solve the inequality write the answer in interval notation 5x<10 or 15-x<7
Answer:
[tex]\left \{ {{x<2} \atop {y>8}} \right.[/tex]
Step-by-step explanation:
