Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)
Answer:
The answer is 25Step-by-step explanation:
f(x) = 3x - 2
h(x) = - 2x² + 3x - 6
First to find f(7/3) substitute the value of x that's 7/3 into f (x)
That's
[tex]f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: [/tex]To find h(-2) substitute the value of x that's - 2 into h(x)
We have
[tex]h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \: [/tex]So we have
[tex]f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20[/tex]We have the final answer as
25Hope this helps you
a bus is traveling at a constant speed. if the bus travels 15 1/2 miles in 1/3 of an hour how many miles will the bus travel in one hour?
Answer:
46 1/2 miles
Step-by-step explanation:
Given:
Distance = 15 1/2 miles
Time = 1/3 hour
Distance =?
Time = 1 hour
Distance : time
15 1/2 miles : 1/3 hour = ? miles : 1 hour
31/2 miles ÷ 1/3 bout = x miles / 1 hour
31/2 × 3/1 = x / 1
93 /2 = x
x = 93/2 miles
= 46 1/2 miles
Therefore, the bus will travel 46 1/2 miles in an hour
anyone help please ?
Answer:
work is shown and pictured
A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, and by his second rest stop he has climbed another 207 feet. It's getting late in the day, so the climber starts his way down. If the climber descends 285 feet, how much does he need to ascend or descend to return to the original starting point?
Answer:
cool!
Step-by-step explanation:
Answer:At the end of the day, he is [162 + 207 - 285] = 84 ft above his starting height
Step-by-step explanation:
Aimee buys a plant that is 22 7/8 inches tall. After a month, the plant has grown 4 2/3. What is the height of the plant after the first month
Answer:
27 13/24 inches
Step-by-step explanation:
Assuming the reported monthly growth is for the first month, the height will be ...
22 7/8 + 4 2/3 = (22 +4) +(21/24 +16/24) = 26 +37/24 = 27 13/24
The height of the plant after the first month is 27 13/24 inches.
_____
Your graphing calculator can add these mixed numbers for you.
The height of a painting is 48 ronded ft. Between which two consecutive whole numbers is 48 rounded
Answer:
47 and 49
Step-by-step explanation:
This would not be between two consecutive whole numbers. Any number from 47.5 and less than 48 would round up, and any number from 48 to less than 48.5 would round down. It might be consecutive odd numbers that you meant, or your question is not clear enough.
find the area of the prism
Answer:
total surface area = 400 cm2
Step-by-step explanation:
Multi step inequality
-2b + 4 > -6
Answer:
b < 5
Step-by-step explanation:
-2b + 4 > -6 ⇒ subtract 4 from both sides
-2b > - 6 - 4
-2b > -10 ⇒ divide both sides by -2, it will change inequality sign to opposite
b < 5 ⇒ answer
What is the value of x in the equation 3x-4y=65, when y=4?
x=134
O x=21 / 3
O x=23
X=27
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed { \sf{x = 27}}}}}[/tex]
Step-by-step explanation:
Given, value of y = 4
To find : Value of x
[tex] \sf{3x - 4y = 65}[/tex]
plug the value of y
[tex] \dashrightarrow{ \sf{3x - 4 \times 4 = 65}}[/tex]
Multiply the numbers : 4 and 4
[tex] \dashrightarrow{ \sf{3x - 16 = 65}}[/tex]
Move 16 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{3x = 65 + 16}}[/tex]
Add the numbers : 65 and 16
[tex] \dashrightarrow{ \sf{3x = 81}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{81}{3} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{ x = 27}}[/tex]
Hope I helped!
Best regards! :D
Answer:
Step-by-step explanation:
-4 x 4=-16 so you add the 16 to the 65 and get 81 so then you divide the 3 from the x so it would be 81/3=27
If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?
Zeke had 12 friends coming for his birthday party. He wanted each friend to get 1 1/3 pounds of candy. How many pounds of candy did he need to buy?
Planes A and B both intersect plane S. Vertical plane S intersects horizontal plane A and horizontal plane B. Plane S and plane A intersect at line f. Line f contains points N and K. Plane S and plane B intersect at line g. Line g contains points P and Q. Line d intersects plane A at point L. Which statements are true based on the diagram? Select three options. Points N and K are on plane A and plane S. Points P and M are on plane B and plane S. Point P is the intersection of line n and line g. Points M, P, and Q are noncollinear. Line d intersects plane A at point N.
Answer:
Points N and K are on a plane A and plane S ( True )
Points P and M are on a plane B and plane S
Point P is the intersection of line n and line g ( True )
Points M, P, and Q are noncollinear ( True )
Line d intersects plane A at point N.
Step-by-step explanation:
Just took the test and got it right :)
The true are 1, 3, 4 and false are 2, 5.
To choose the statement are true or false.
What is plane?A surface in which if any two points are chosen a straight line joining them lies completely in that surface. A plane is a flat, two-dimensional surface that prolongs infinitely far.
Given that:
1. Points N and K are on plane A and plane S.
From that points N and K are on the plane A and on the plane S. Thus, this option is true.
2. Points P and M are on plane B and plane S.
From points P and M are on the plane B, but point M doesn't lie on the plane S. So, this option is false.
3. Point P is the intersection of line n and line g.
Point P lies on the line n as well as on the line g, therefore it is the point of intersection of these two lines. This option is true.
4. Points M, P, and Q are noncollinear.
It is true, because points M, P and Q do not lie on the same line at one time, that means they are noncollinear.
5. Line d intersects plane A at point N.
From the line d intersects plane S at point L, not at point N, then this option is false.
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Diagram is missing.
if the statement is a rewrite as a conditional statement in if-then form, which best describes the conclusion? A student who earns 85% earns a B
Answer:
Step-by-step explanation:
cdfbdfbf
Answer:
"then a student earns a b"
Step-by-step explanation:
Point T is on line segment SU. Given ST = 2x + 6, TU = 4, and SU = 4x, determine the numerical length of ST
Step-by-step explanation:
Point T is between Points S and U, where all 3 points are collinear.
Therefore ST + TU must be equal to SU.
(2x + 6) + 4 = 4x
2x + 10 = 4x
2x = 10
x = 5.
Hence, length of ST = 2(5) + 6 = 16.
The length of ST will be 16 units.
What is a line segment ?A line segment is basically a line with two end points.
two or more than two co-linear points is needed to form a line segment.
In the given question
Line segment is SU
Point T is in between point S and point U here all the points are co-linear
SU = ST + TU
4x = (2x + 6) + 4
4x = 2x + 10
2x = 10
x = 5
∴ The length of ST = 2x + 6 = (2×5) + 6 = 16 units
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WILL GIVE BRAINLET !!!
2 1/12 + 4/12 ( show how u her the answer )
Answer:
2 5/12
Step-by-step explanation:
you can combine two fractions if they have the same denominator (bottom number) by adding the numerators (top numbers) and keeping the bottom number the same.
1/12+4/12 is the same as 1+4 you just put the sum over 12:
2 1/12+4/12= 2 5/12
it can also be written as 29/12
Robby ate 4 potato chips. Jimmy ate p times as many potato chips as Robby. Which expression shows how many potato chips
Jimmy ate?
OA. 4:P
OB. 4-p
OC. 4+p
OD 4xp
Answer:
4 times p
Step-by-step explanation:
Please help me, I need the answer now! Will mark brainliest.
Answer: It is D
Step-by-step explanation: The numbers are going by fives.
here’s a graph of the equation x + 3y = 6 select all coordinates pairs that represent a solution to the equation A) 0,2 B) 0,6 C) 2,6 D) 3,1 E) 4,1 F 6,2
Answer:
(0,2) (3,1)
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A and D.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
If we want to know whether a point is a solution to the equation or not, substitute it in the line and check whether both sides of the equation are equal or not.
A) 0,2
x + 3y = 6
0 + 3(2) = 6
6 = 3
B) 0,6
x + 3y = 6
0 + 3(6) ≠ 6
18 ≠ 6
C) 2,6
x + 3y = 6
2 + 3(6) ≠ 6
2 + 18 ≠ 6
D) 3,1
x + 3y = 6
3 + 3(1) = 6
3 + 3 = 6
6 = 6
E) 4,1
x + 3y = 6
4 + 3(1) ≠ 6
4 + 3 ≠ 6
F) 6, 2
x + 3y = 6
6 + 3(2) ≠ 6
6 + 6 ≠ 6
Hence, the correct option is A and D.
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Write a paragraph proving that x=8 in the equation 7x-28=28
Answer:
[see below]
Step-by-step explanation:
We would need to undo the equation and preform inverse operations to get 'x' on one side. First, we need to get rid of 28 by adding 28 to each side. This would leave us with 7x on one side. Then, we wound divide each side by 7. This would leave us with 'x = 8'. If we plugged in the value, then it would satisfy the equation.
[tex]7x-28=28\\\\7x-28+28=28+28\\\\7x=56\\\\\frac{7x=56}{7}\\\\ \boxed{x=8}[/tex]
Checking the answer:
[tex]7(8)-28=28\\\\56-28=28\\\\\boxed{28=28}[/tex]
Hope this helps.
21/[2*(19-14)-3] (the / means division btw)(* means multiply)
Answer:
The answer you're looking for is 3
Step-by-step explanation:
Answer:
[tex]3[/tex]
Step-by-step explanation:
Start with:
[tex]\frac{21}{[2*(19-14)-3]}[/tex]
First, subtract the values in your parentheses.
At this point, we can remove the brackets.
[tex]\frac{21}{2(5)-3}[/tex]
Multiply.
[tex]\frac{21}{10-3}[/tex]
Subtract.
[tex]\frac{21}{7}[/tex]
Simplify.
[tex]3[/tex]
What is m What is m What is m
Answer:
honestly im not sure but i am doing that same work at the moment and i just ingore the m. it shouldnt change what you get as your answer.
Answer:
not sure but i hope yah find out
Step-by-step explanation:
Evaluate this exponential expression.
4. (2 + 5)2 - 52 =
C.171
Step-by-step explanation:
4×7(2)-25
4×49-25
multiply 4×49=196-25
then subtract 196-25=171
Answer:
C. 171
Step-by-step explanation:
[tex]4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\[/tex]
Which list shows all the doctor pairs of 64
Answer:
Factors of 64: 1, 2, 4, 8, 16
Step-by-step explanation:
Jennifer is saving money to buy a bike. The bike costs $336. She has $128 saved, and each week she adds $16 to her savings. How long will it take her to save enough money to buy the bike? It will take her \weeks to save for the bike.
Which decimal is equivalent to (5 × 10) + (2 × 1/100)? a 50.002 b 5.02 c 50.20 d 50.02
Answer:
d 50.02
Step-by-step explanation:
Camilla has twice as many blueberry jelly beans as cherry jelly beans. After eating 10 pieces of each kind, she now haas three times as many blueberry jelly beans as cherry jelly beans. How many blueberry jelly beans did she originally have?
Answer:
40 blueberry jelly beans
Step-by-step explanation:
Let us represent blue berry beans = b
Cherry jelly beans = c
Camilla has twice as many blueberry jelly beans as cherry jelly beans.
Hence,
b = 2c .........Equation 1
After eating 10 pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans.
hence,
b - 10 = 3(c - 10)
b - 10 = 3c - 30
Collect like terms.
- 10 + 30 = 3c - b
20 = 3c - b .........Equation 2
Subtitute 2c for b in Equation 2
20 = 3c - 2c
20 = c
Hence, she had 20 cherry jelly beans.
In the question, we are asked to find how many blueberry jelly beans she had.
Hence,
b = 2c .........Equation 1
Substituting 20 for c in Equation 1
b = 2 × 20
b = 40
Therefore, she originally had 40 blueberry jelly beans
There are 5 green jelly beans, 7 red jelly beans and 8 yellow jelly beans. What percent of the jelly beans are red?
Answer: 35%
Step-by-step explanation:
8 + 5 + 7 = 20
50% = 10
25% = 5
10% = 2
5% = 1
25% + 10% = 5+2
35% = 7
Seventeen members of Tim's family are going to an amusement park during the week of their family reunion. Adult tickets cost $34 each and child tickets cost $31.50 each. If the total cost for admission to the part is $558, how many adults went to the park? a 7 b 8 c 9 d 10
Answer:
c.
Step-by-step explanation:
Let x be the number of adults in Tim's family. Then (17 - x) is the number of children in Tim's family.
We have $34x + $31.5(17 - x) = $558.
$34x + $31.5(17 - x) = $558
$34x + $535.5 - $31.5x = $558
$2.5x = $22.5
x = 9
Hence the answer is c.
What is the solution to 4x-8=12 please explain.
Answer:
x=5
Step-by-step explanation:
4x−8=12
Step 1: Add 8 to both sides.
4x−8+8=12+8
4x=20
Step 2: Divide both sides by 4.
4x
4
=
20
4
x=5
Answer:
One solution, x=5.
Step-by-step explanation:
4x-8=12
To find the solution we have to find the value of x.
to find the value of x, we have to add 8 to BOTH sides.
4x-8=12 (Why add 8? because we have to do the opposite of the sign!)
+8 +8
4x=20
Now to find X we have to ISOLATE IT.
So we take out 4, How? We do the opposite to both sides.
4/4 Cancels out
20/4 = 5
So now we know X=5
Insert in the main problem to check.
4(5)-8=12
20-8=12
12=12
If your car can drive 433 miles on a full tank of gas, find the miles per gallon if your gas tank holds 17.2 gallons? How much does it cost to fill your tank if gas is $2.85 per gallon?
Answer:
-25.17 miles per gallon.
-It costs $49.02 to fill your tank.
Step-by-step explanation:
-To find the miles per gallon, you can use a rule of three:
17.2 gallons → 433 miles
1 gallon → x
x=(1*433)/17.2= 25.17
If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.
-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:
$2.85*17.2=$49.02
It costs $49.02 to fill your tank.