[tex]x^{2}[/tex]+2x-15
:):)
The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.
A. The car has an initial speed of 0 units and is speeding up to a speed of 35 units by 4 units per second.
B. The car has an initial speed of 4 units and is speeding up by 35 units per second.
C. The car has an initial speed of 35 units and is slowing down by 4 units per second.
D. The car has an initial speed of 35 units and is speeding up by 4 units per second.
Answer:
The car has an initial speed of 35 units and is slowing down by 4 units per second.
Step-by-step explanation:
The changing speed of a car is modeled by the function :
[tex]s(t)=-4t+35[/tex]
t is time in seconds
Initial speed means at t = 0
s(0) = 35 units
Here the change in speed is negative, it means that the car is slowing down by this rate.
So, the correct answer is : The car has an initial speed of 35 units and is slowing down by 4 units per second.
What is the area of the regular polygon?
The diagonal is 10, so a side is [tex]{10/\sqrt{2} }[/tex]
The area would be 100/2
or 50 m^2.
The population of a school is 2100 and is increasing at the rate of 3%;6 years.
Write a function to model the situation.
Answer:
p = 2100e^0.3t , t=6 years
Step-by-step explanation:
Write the equation of the line that passes through the points (−1,−6) and (−5,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:you get two answers. y+6=-7/4(x+5) or y-1=-7/4(x+5)
Step-by-step explanation:
By the way the 7/4 is negative if you could not tell. You get this answer by finding the slope which is 1- -6/-5- -1 and get -7/4. Then you plug it into the formula y-y1=slope(x-x1). When you plug it in you should get that answer.
The equation of the line that passes through the point (-1, -6) and (-5, 1) is
y = (-7/4)x - 32/4
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is y = mx + c
Now,
(-1, -6) and (-5, 1)
Slope = m
m = (1 + 6) / (-5 + 1)
m = 7/-4
m = -7/4
Now,
(-1, -6) = (x, y)
-6 = (-7/4) x -1 + c
-6 = 7/4 + c
c = -6 - 7/4
c = (-24 - 7) / 4
c = -32/4
The equation of the line is y = (-7/4)x - 32/4
Thus,
The equation of the line is
y = (-7/4)x - 32/4
Learn more about equation of a line here:
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PLEASE HURRY!!!!
WILL GIVE BRAINLIEST!!!
(Answer choices and question is in the picture)
Answer:
The answer is 40
Step-by-step explanation:
The reason for this is because. . .
(-1,-4) , (3,6)
so you have count from -1 to 3 and u will get 4, because if you can put (-1,-4) and (3,6) on a graph. If you did that then u must count horizantolly from -1 to 3 since they are on the x-axis. In the end you will get 4 since 3 minus -1 is 4. Also if your counting horizantally then that's ur width.
width = 4
To find the length, it is very simple. Subrtract 6 from -4 and you will get 10. And since the y-axis is being counted vertically, that is your length.
length = 10
To find the area, u have to do width times length so in this case you have to do 4 time 10 and you will get 40.
area = 40
How are polynomials with operations, like other number systems, such as whole numbers and integers?
Shayla purchased a vase in the shape of a rectangular prism. The area of the bottom of the vase is 18 square inches, and the height of the vase is 8 inches. How many cubic inches of water will completely fill the vase?
A : 26
B:144
C:648
D : 2,592
Answer:
B:144
Step-by-step explanation:
18*8=144
How can the diagram be used to evaluate Three-halves divided by three-fourths?
A number line going from 0 to 1 in increments of one-half.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is One-half.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is 2.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is 2.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is One-half.
Answer: c
Step-by-step explanation: I took the test
Which of the following is described by the notation? <-> AB|| <-> CD? A. Skew lines b. Parallel lines c. Intersecting lines d. Perpendicular lines
Answer:
B. Parallel Lines
Step-by-step explanation:
B. Parallel Lines
The steps to derive the quadratic formula are shown below:
Step 1 ax2 + bx + c = 0
Step 2 ax2 + bx = − c
Step 3 x2 + b over a times x equals negative c over a
Step 4 Blank space, fill in the answer
Provide the next step to derive the quadratic formula.
Answer Choices: (see image)
Answer:
b)
[tex]x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}[/tex]
Step-by-step explanation:
Step(i):-
Given quadratic equation ax² + bx + c = 0
step(ii):-
ax² + bx = -c
Step(iii):-
Dividing 'a' on both sides , we get
[tex]\frac{ax^{2} +bx }{a} = \frac{-c}{a}[/tex]
[tex]x^{2} + \frac{bx}{a} = \frac{-c}{a}[/tex]
Step(iv):-
Adding [tex](\frac{b}{2 a} )^{2}[/tex] on both sides , we get
[tex]x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}[/tex]
Answer:
B
Step-by-step explanation:
Solve for X
2^5-[4(5-3)^2]=-8x
Answer:
-2
Step-by-step explanation:
[tex]2^5-[4(5-3)^2]=-8x\\32-[4(4)]=-8x\\32-16=-8x\\16=-8x\\x=-2[/tex]
Hope this helps!
BRAINLIEST AWARD ASAP
(Please explain the way you got your answer)
3(2-4i)^2
helpppppp meeeeeee plz
60 total fourth graders and 43 are girls. To find the number of boys, subtract.
60 - 43 = 17 boys
If 5 girls were absent, subtract.
43 - 5 = 38 girls present
If 4 boys were absent, subtract.
17 - 4 = 13 boys present
Therefore, there were 13 boys present.
Best of Luck!
Answer:
13 boys were present
Step-by-step explanation:
→ In total there is 60 fourth graders at the Small Tree School.
→ 43 of them are girls and this information is given to us which means that there is 17 boys because 60 - 43 = 17
→ We want to know know how many boys were at the school on Friday considering that 5 fourth grade girls and 4 fourth grade boys were absent
→ We know that there is a total of 17 boys and 4 fourth grade boys were absent so 17 - 4 will give us the number of boys that were present on Friday so 17 - 4 = 13. 13 boys were present considering 5 fourth grade girls and 4 fourth grade boys were absent
Do you have a triangle with 3 angles:60 degrees,60 degrees,and 63 degrees
Answer:
No
Step-by-step explanation:
The sum of all angles in a triangle is 180°. Because 60 + 60 + 63 = 183 ≠ 180, this is not a triangle.
The sum of all angles in triangle is equeal to 180°
We need to check sum of 60, 60 and 63.
60+60+63=183
183≠180
There is no such triangle
Segment AC is a diagonal of a regular polygon ABCDEF. What does Angle ACD equal.
A.36
B.5
C.72
D.108
Answer: the answer is D.108
1.Choose the best description for ∠1 and ∠2 in the following figure.
2. Determine whether the angles are adjacent angles, a linear pair, or vertical angles. Some pairs of angles may have more than one relationship.
THE PICTURES ARE IN ORDER THE LAST TWO ARE FOR NUMBER 2
Answer:
1 ) Adjacent angles,
2 ) See solution below
Step-by-step explanation:
Question 1. Provided ∠ 1 and ∠ 1 are near one another, they can be referred to as adjacent ∠s;
Solution; Adjacent angles
Question 2.
Angles 5, and 6 are consecutively near one another, and thus are adjacent angles,
Angles 5 and 9 are supplementary knowing that they lie on a straight angle, so that they can be best named a linear pair, provided there are only two of these angles,
Angles 5 and 8 are opposite to one another so that they are ≅, thus should be names as vertical angles
Solution;
Angle | Adjacent Angles | Linear Pair | Vertical angles
∠ 5, 6 | Check! | |
∠ 5, 9 | | Check! |
∠ 5, 8 | | | Check!
Could somebody help me on this please
Answer:
right angle:-a Pythagorean theorem only works if the triangle is a right angle.
leg:- the two legs of a triangle are needed to complete the equation a²+b²=c²
hypotenuse:- too is needed to complete the equation too.
square root:- is used to simplify the equation at the end.
it was simplified by putting 169=x² in a square root.
Step-by-step explanation:
Could someone help me with this plz. That would be great. You get points
Answer:
C
Step-by-step explanation:
i may be wrong sorry
Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game seasons.
Unit rate ______ points/games
Points in 11 games ______
Unit rate = 41 points / 3 games = 13 2/3 points per game
Point in 11 games = 13 2/3 points per game x 11 games = 150 1/3 total points, round to 150.
pls help me with this rq
Answer:
25 inches
Step-by-step explanation:
We can use a ratio to solve
width dr height dr
------------- = ----------
width act height act
15 inches x inches
--------------- = -----------------
3 ft 5 ft
Using cross products
15*5 = 3x
Divide each side by 3
15*5 /3 = 3x/3
25 =x
What is the solution to this system of equations? (Possible answers included)
Answer:
A. 2,6
Step-by-step explanation:
Looking at the lines, the lines intercept through 2,6.
Have a great day (:
What is the volume of the right rectangular prism, in cubic inches?
12 in
Area of base = 4 sq in
cubic inches
Answer:[tex]48\ in.^3[/tex]
Step-by-step explanation:
Given
height of prism [tex]h=12\ in.[/tex]
Area of base [tex]A=4\ in.^2[/tex]
Volume of a rectangular prism
[tex]V=height\times Area[/tex]
[tex]V=12\times 4[/tex]
[tex]V=48\ in.^3[/tex]
So, volume of Prism is [tex]48\ in.^3[/tex]
Answer:
48
Step-by-step explanation:
I'm doing the quiz, hope you guys have a good day.
(*˘︶˘*).｡*♡
someone please help me
Answer:
720 degrees
Step-by-step explanation:
I need help I can’t figure this out
Answer:
12.04 = BC
Step-by-step explanation:
A tangent intersects at 90 degrees
We know AB and AC
We can use the Pythagorean theorem
a^2 + b^2 = c^2
AC^2 + AB^2 = BC^2
8^2 + 9^2 = BC^2
64+ 81 = BC^2
145 = BC^2
Take the square root of each side
sqrt(145) = BC^2
12.0415945 BC
To the nearest hundredth
12.04 = BC
Kendle wants to play several games of laser tag. She has $35 to play g games. Each game of lazer tag costs $5. Select the equation that matches this situation.
Answer:
35 ÷ 5 = g
Step-by-step explanation:
First, you snatch her/his money to do math, then you take the $35 and look the the thing that tells you how much games cost then do 35 ÷ 5 but since you cant solve it just put 35 ÷ 5 = g , and last but not least you take Kendle's money because no lazer tag during a pandemic and run home before you get yelled at because you were at a lazer tag place and took someones money.
Answer:
35/5=g
Step-by-step explanation:
it's pretty simple! she has 35$ but each game is 5$ so 35 over 5 is g. and g= 7 hope this helped
The graph of f(x) is shown below.
If g(x) = -10x + 2, which statement is true?
A.
The x-intercept of g(x) is greater than the x-intercept of f(x).
B.
The x-intercept of g(x) is less than the x-intercept of f(x).
C.
The y-intercept of g(x) is greater than the y-intercept of f(x).
D.
The y-intercept of g(x) is less than the y-intercept of f(x).
Answer:
I believe the answer is B
Step-by-step explanation:
3. Determine the Determinant of the Quadratic
2x2 + 7x - 3=0
Answer:
73
Step-by-step explanation:
I think you mean the discriminant.
You calculate it by using b^2 - 4ac
a = 2
b = 7
c = -3
So it would be 49 - 4 * 2 * -3
49 + 24
73
find the value of x help plz
Answer:
5. x = 9
6. x = 12
7. x = 15
8. x = 11
Step-by-step explanation:
5. 90-56 = 34
34 = 3x + 7
27 = 3x
x = 9
6. 90 - 48 = 42
42 = 3x + 6
36 = 3x
x = 12
7. 90 - 47 = 43
43 = 2x + 13
30 = 2x
x= 15
8. 3x + 5x + 2 = 90
8x = 88
x = 11
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answer: 8
Step-by-step explanation: Speed is distance/time
18/3 = 6 miles per hour running
18/2 = 9 miles per hour biking
3 hour bike = 27 miles
1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles
27 + 9/3 + 1.50 = 36/4.5 or 8
:
The CoffeeShop is creating a new blend of coffee. Coffee A sells
for $5 per pound. Coffee B sells for $9 per pound. The
Coffee Shop will mix 20 pounds of the new blend and sell it for $6
per pound. The following equations represent the problem of
keeping the cost of the blend consistent with the Ingredients.
a + b = 20
5a + 9b = 120
a = pounds of Coffee A and b = pounds of Coffee B
How many pounds of Coffee B should be used in the blend?
Let x = pounds of $12 per pound coffee
then
20-x = pounds of $9 per pound coffee
.
12x + 9(20-x) = 10(20)
12x + 180 - 9x = 200
3x + 180 = 200
3x = 20
x = 20/3
x = 6 and 2/3 pounds of $12 per pound coffee
.
Amount of $9 per pound coffee:
20-x = 20-20/3 = 60/3 - 20/3 = 40/3
or
13 and 1/3 pounds of $9 per pound coffee