Answer:
The slope is -17 and the y-intercept is 2.
Step-by-step explanation:
Answer:
y
=
17
x
2
−
37
2
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
17
2
b
=
−
37
2
The slope of the line i
Step-by-step explanation:
Consider the words typically associated with geometry.
Are there any words that would be hard to precisely
define? What words can you think of?
Answer:
Point, line and plane
Step-by-step explanation:
Words are defined using other defined words or terms. However, these three terms are very difficult to find other words to describe. Without using other terms, we create circular definitions; thus these are called the "undefined terms" of geometry.
Hope this helps :)
Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. 900 + 900(1.015 • 2) What is the correct amount Vince will pay back altogether? Explain the error in Vince's expression. A. 00:00 $903; Vince should have subtracted the first 900 from the amount he will pay. B. 00:00 $913.50; Vince multiplied by the wrong number of years. C. 00:00 $927; Vince wrote the wrong number to represent the interest rate. D. 00:00 $1,813.50; Vince forgot to add the initial $900 to the amount he will pay.
Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.
Step-by-step explanation:
Given that:
Amount borrowed (p) = 900
Simple interest (r) = 1.5% = 0.015
Time (t) = 2 years
Amount he'll pay back (A) :
A = P(1 + rt)
A = 900(1 + 0.015(2))
A = 900(1 + 0.03)
A = 900(1.03)
A = $927
HELPPPPP!! A juggler tosses a ball into the air. The ball leaves the juggler's hand 5 feet above the ground and has an initial velocity of 30 feet per second. The juggler catches the ball when it falls back to a height of 2 feet. How long is the ball in the air? Use the model h(t)=−16t2 +v0t +h0, where v0 is the initial velocity (in feet per second), h is the height (in feet), t is the time in motion (in seconds) and h0 is the initial height (in feet).
Remember to round your answer to the nearest hundredth.
Answer:
t = 2.525 seconds
Step-by-step explanation:
h(t) = -16t^2 + v*t + h0 h(t) = the height above the ground after t seconds v = 40 ft/s initial velocity h0 = 4 ft the initial height of the object (the ball) t = the time of the motion h(t) = -16t^2 + 40*t + 4 we need to find t such that h(t) = 3 ft 3 = -16t^2 + 40*t + 4 -16t^2 + 40*t + 4 = 3 by solving we find
t = 2.525 seconds
You can round on your own.
Solving the quadratic equation, it is found that the ball was in the air for 1.97 seconds.
The height of the ball, in feet, after t seconds is given by:
[tex]h(t) = -16t^2 + v(0)t + h(0)[/tex]
In this problem:
The initial velocity is [tex]v(0) = 30[/tex].The initial height is [tex]h(0) = 5[/tex].Thus, the equation is:
[tex]h(t) = -16t^2 + 30t + 5[/tex]
The juggler catches the ball when it falls back to a height of 2 feet, thus it stays in the air until t for which:
[tex]h(t) = 2[/tex]
Then:
[tex]2 = -16t^2 + 30t + 5[/tex]
[tex]-16t^2 + 30t + 3 = 0[/tex]
[tex]16t^2 - 30t - 3 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 16, b = -30,c = -3[/tex]. Then:
[tex]\Delta = b^2 - 4ac = (-30)^2 - 4(16)(-3) = 1092[/tex]
[tex]x_{1} = \frac{30 + \sqrt{1092}}{2(16)} = 1.97[/tex]
[tex]x_{2} = \frac{30 - \sqrt{1092}}{2(16)} = -0.1[/tex]
The ball stays in the air for 1.97 seconds.
A similar problem is given at https://brainly.com/question/21846193
Find the slope of the line.Enter your answer in simplist form (4,2) (1, -4)
Answer:
2Step-by-step explanation:
-4 - 2
1 - 4
-6
-3
2 hope that helps!!!! don´t forget to thank and BrainliestUse the graph to evaluate the function for the given input value.
A)5
B)-5
C)2
D)-2
Answer:
Step-by-step explanation:
I think its 5 correct me if im wrong sorry little bit rsusty at math since last year
what is the missing number ___(7x + 3) = 14x + 6
Answer: 2
Step-by-step explanation:
?(7x+3)=14x+6
2*7=14, 2*3=6
2(7x+3)=14x+6
Answer:
2
Step-by-step explanation:
You find a number that when multiplied by 7 would give you 14 and when multiplied by 3 would give you 6. That number is two
6(3x + 5) and 15x + □ + 3x
Answer:
d
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
Graph 3x + y = -1
The graph only takes whole numbers.
What is the vertex of the quadratic function f(x)=x2+6x+16? Write your answer
as an ordered pair, (x,y).
Answer:
The vertex of the quadratic function is:
[tex](x_{v}, y_{v})=\left(-3,\:7\right)[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=x^2+6x+16[/tex]
As the vertex of the form [tex]y=ax^2+bx+c[/tex] is defined as:
[tex]x_v=-\frac{b}{2a}[/tex]
As the quadratic function of parabola params are
[tex]a=1,\:b=6,\:c=16[/tex]
so
[tex]x_v=-\frac{b}{2a}[/tex]
[tex]x_v=-\frac{6}{2\cdot \:1}[/tex]
[tex]x_v=-3[/tex]
Putting [tex]x_v=-3[/tex] to determine [tex]y_v[/tex]
[tex]y_v=\left(-3\right)^2+6\left(-3\right)+16[/tex]
[tex]y_v=3^2-18+16[/tex]
[tex]y_v=9-2[/tex]
[tex]y_v=7[/tex]
Therefore, the vertex of the quadratic function is:
[tex](x_{v}, y_{v})=\left(-3,\:7\right)[/tex]
Does (3,6) make the equation y = 2x true? ves
Answer:
Yes.
Step-by-step explanation:
In order to check if an equation is true, plug in the corresponding values for x and y.
Coordinates are written as (x, y). So, x = 3 and y = 6.
Plug in these values to the equation.
6 = 2 * 3
Multiply 2 and 3 to simplify:
6 = 6
This shows that the equation is true when given (3, 6)
The point A (−5,4) is reflected over the point (−2,5) and its image is point B. What are the coordinates of point B?
Answer:
The coordinates of B are (1,6)
Step-by-step explanation:
Point Reflection
Given the point P(x,y) and its reflection P'(x',y') with respect to the point C(xc,yc), C is the midpoint of the segment PP'.
This means the coordinates of C are:
[tex]\displaystyle x_c=\frac{x+x'}{2}[/tex]
[tex]\displaystyle y_c=\frac{y+y'}{2}[/tex]
If the coordinates of the midpoint are given, then the endpoint P' can be found solving for x' and y':
[tex]x'=2x_c-x[/tex]
[tex]y'=2y_c-y[/tex]
The point P' is the reflection of P over C.
We are given the coordinates of A(-5,4) and the point (-2,5). We need to find the coordinates of point B(x',y'). Let's use the formulas as if A was point P and C=(-2,5):
[tex]x'=2(-2)-(-5)=-4+5=1[/tex]
[tex]y'=2(5)-4=10-4=6[/tex]
The coordinates of B are (1,6)
What is the slope of a line that passes through the points (-8, 14) and (4,-4)?
Answer:
the answer is -3/2
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
Explain the Error Tina says that 6 :8 is equivalent to 36 :64. What did Tina
do wrong?
Answer:
she multiplied the numbers to itself
Luke's turkey chili recipe calls for 2.5 pounds of ground turkey for every 5 servings. How many servings can he make if he has 6 pounds of ground turkey? Complete the explanation. When entering the equation, use y to represent how many servings he can make and x to represent how many pounds of ground turkey he has.
Answer:
12 servings
Step-by-step explanation:
Luke's turkey chili recipe calls for 2.5 pounds of ground turkey for every 5 servings. How many servings can he make if he has 6 pounds of ground turkey?
From above question:
2.5 pounds of ground turkey = 5 servings
6 pounds of ground turkey = x
Cross Multiply
2.5 × x = 6 × 5
x = 6 × 5/2.5
x = 12 servings
Hence, 6 pounds of ground turkey can make 12 servings.
Completing the explanation.
The equation is
5x = 2.5y
where:
x = represent how many pounds of ground turkey he has = 6 pounds
y = to represent how many servings he can make
Hence,
5 × 6 = 2.5y
y = 5 × 6/2.5
y = 12 servings
Egg noodles: Package A is 12 oz. for $0.99. Package B is 2 lbs. for $2.56
Which is the better deal
Answer:
Package A
Step-by-step explanation:
$0.99 ÷ 12oz = 0.0825
2lb = 32oz
$2.56 ÷ 32oz = 0.0800
therefore the package a is a better deal
The school carnival committee sold a total of 200 tickets for the grand prize drawing. Sue bought enough tickets so that she had a 20 percent chance of winning the grand prize. How many tickets did Sue buy?
Answer:
40 tickets
Step-by-step explanation:
Given that:
Total tickets sold = 200
Sue's chances of winning = 20% = 0.2
Number of tickets bought by Sue :
P(winning) = 20%
P(winning) = required outcome / Total possible outcomes
Required outcome = number of tickets bought by Sue
Total possible outcomes = total number of tickets sold
0.2 = x / 200
x = 0.2 * 200
x = 40
What is 1 2/3 - 2 1/3
Answer:
-1 1/3
Step-by-step explanation:
1 2/3 - 2 1/3
1-2 is -1
2/3 -1/3 is 1/3
-1 1/3
In the first quadrant you start at (5,6) and move 4 units down what point will you end up on
Answer:
archon warm school exp all P words RCM TCL yxotx8txotd9td0ydotdotdotxotdtodotngtmttgm5gj9rfk5h teen
5 ( x + 3) + 2 ( x + 7)
Answer:
7x+29
Step-by-step explanation:
First take away ( ), so it would be 5x+15+2x+14. Then, just add the alike terms together. 7x+29
What does a positive exponent show?
repeated multiplication by the base
What is 1/4 x (20) 1/3= ???
Help plzzzz plzzz plzzzzz plzzzzzzzz
Answer:
1 + X
Step-by-step explanation:
You just write whats there
Answer: I think it might be 1 + x or x = 1
Step-by-step explanation:
The triangles are similar. Find
the missing side length x.
Answer:
x = 66
Step-by-step explanation:
The similarity ratio is DO/PA = 27/18 ➡3/2
So DT/PN ➡ x/44 = 3/2
132 = 2x divide both sides by 2
x = 66
I NEED HELP!!!!!!! due in 10 min PLZZZZZ!!!!
Answer:
-3, 6, 7
Step-by-step explanation:
The drama group has 909090 minutes to practice two scenes. They want to practice the pirate scene 444 times, and each time takes 131313 minutes. The mermaid scene takes 777 minutes. How many full times can the group practice the mermaid scene? times
Answer: 5.43 minutes
Step-by-step explanation:
Number of minutes for the drama group = 90 minutes
Number of times to practice the pirate scene = 4
Time taken to practice the pirate scene = 13
The number of minutes used for pirate scene will be:
= 4 × 13 = 52 minutes
The number of full times that the group can practice the mermaid scene will then be:
= (90 - 52) / 7
= 38 / 7
= 5.43 minutes
b2-b - 12 = 0
What is the answer
Answer:
b = 4 or -3
Step-by-step explanation:
You mean this?;
b² - b - 12 = 0
Using quadratic formula (attached):
b = (1 ± (1 + 48)^1/2) ÷ 2 = (1 ± 7) ÷ 2 = 4 or -3
Copland competes in 27 swimming events this
season. He wins either first place or second
place in each event. Copland has 3 more first-
place wins than second-place wins. In how
many events did he win first place, and in how
many did he win second place?
Answer:
15 wins 12 2nd because subtract 3 from 27 that's 24 divide that by 2 its 12 so you add the extra 3 to 12 and that's 17
The second new path will increase access to the gazebo. It will be perpendicular to the the existing path and pass through g (7,2). Which equation represents which this new this path on the map
A.y=-4x+30
B.y=-1/4x+15/4
C.y=1/4x+1/4
D.y=4x-26
Answer:
C. y = 1/4x + 1/4
Step-by-step explanation:
Just did it on Edmentum and got it right
Answer:
C. y=1/4x+1/4
Step-by-step explanation:
Like the first path, this path will have a slope that is the opposite reciprocal of -4, the slope of the path passing through F(4,14) and G(7,2).
Substitute 1/4 and the coordinates of point G into slope-intercept form, and solve for b
Then, substitute 1/4 for m and 1/4 for b to find the equation of the line that’s perpendicular to the original path and passes through G(7,2)
A trade magazine routinely checks the drive-through service times of fast-food restaurants. Upper A 95% confidence interval that results from examining 771 customers in one fast-food chain's drive-through has a lower bound of 175.2 seconds and an upper bound of 178.2 seconds. What does this mean?
Answer:
Step-by-step explanation:
The confidence interval is an interval that determines an unknown population parameter. It showcases the probability that a particular population parameter will fall within this interval. As the sample size reduces, the width of the confidence interval usually increases.
What the given question mean is that one can still be 95% confident that the mean drive-through service times of this fast-food chain is between 175.2 seconds and 178.2 seconds.
Please Help!!!!! I will give brainliest!!!
Answer:
d.2x=16;X=8
Step-by-step explanation:
2*8=16
ok
