Answer:
a mile and 2/4
Step-by-step explanation:
find the estimates of x^2-x-2=3
Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
christy has a hobby of making candles. she takes less than 20 minutes to make a box of candles. if x represents the number of minutes, which inequality represents the time it takes christy to make a box of candles? (show work if possible)
A. x > 20
B. 20 < x
C. 20 > x
D. x = 20
Answer:
C. 20 > x
Step-by-step explanation:
Solve for x
35 = 5(x + 9)
X =
Answer:
-2
Step-by-step explanation:
35 = 5x + 45
So - 45 from both side
-10 = 5x
Divide both side by 5
-2 = x
X = -2
Mr. Greene is preparing 28 bags of materials for his art class. Each bag needs 40 glass tiles. How many glass tiles are needed?
______ glass tiles
Answer:
Glass tiles needed
[tex] = (28 \times 40) \\ = 1120 \: tiles[/tex]
Plz help me with this
9514 1404 393
Answer:
growth2.3%Step-by-step explanation:
The number with the exponent is 1+0.023/4 = 1.00575. This number is greater than 1, so represents growth.
When x increases by 1, the multiplier of 800 increases by ...
1.00575^4 ≈ 1.023199 = 1 + 2.3199%
Rounded to the nearest tenth percent, this is a 2.3% growth rate.
_____
Additional comment
The formula corresponds to a financial formula in which a 2.3% annual interest rate is compounded 4 times per year. The effective annual interest rate is almost 2.32% per year. The difference is there, but is too small to see when the interest rate is rounded to a tenth percent.
Write a linear function f with f (5) = -1 and f(0) = -5.
f(x)=____
Answer:
We conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Step-by-step explanation:
Given
f(5) = -1f(0) = -5f(5) = -1 means at x = 5, y = -1
Hence, the point (5, -1) lies on the line function.
f(0) = -5 means at x = 0, y = -5
Hence, the point (0, -5) lies on the line function.
Thus, the two points on the linear line function graph are:
(5, -1)(0, -5)Finding the slope between the points (5, -1) and (0, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]m=\frac{-5-\left(-1\right)}{0-5}[/tex]
[tex]m=\frac{4}{5}[/tex]
The slope-intercept form of the linear line function
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
We have already determined the slope which is: m = 4/5
We know the y-intercept can be determined by setting x = 0 and solving for y.
Thus, the point (0, -5) represents the y-intercept b = -5.
Now, substituting m = 4/5 and b = -5 in the slope-intercept form
[tex]y = mx+b[/tex]
y = 4/5x + (-5)
y = 4/5x - 5
Therefore, we conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5find a number n when decreased by 9 equals 17
Answer:
26-9=17 26 is the answer
Step-by-step explanation:
Answer:
The number n is 26
Step-by-step explanation:
Decreased means subtract
n-9 = 17
Add 9 to each side
n-9+9 = 17+9
n = 26
The number n is 26
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
What is this question?
Answer:
A
Step-by-step explanation:
So timing a fraction with a fraction smaller by 1 means its a proper fraction.
And it can't get bigger than it already is because it's timing a less than 1 itself.
So it's A, it will be smaller
rectangle
rhombus
square
isosceles trapezoid
Answer:
Rhombus
Step-by-step explanation:
It does not have congruent diagonals
A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in
Answer:
c
Step-by-step explanation:
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answer:
poop
Step-by-step explanation:
poop
Given the graph that is shown. What is the range of the function??!
Answer:
[tex]-3\leq x[/tex] < 6
third answer choice
Step-by-step explanation:
What is the origin of algebraic expresions plz
can y'all please help 10 points
Answer:
[tex] \frac{23}{24} [/tex]
Step-by-step explanation:
[tex]2a + b[/tex]
[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]
Substitute a = 5/12 and b = 1/8 in the expression.
[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]
Our denominator must be 24. (LCM)
[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]
Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot and the guard travels at 56 mph by car, how far from the prison will the convict be caught by the guard?
On a coordinate plane, point AS
located at(74) and point Bis
located at 8.41 What is the
distance between the two points?
Answer:
√1370 or about 37.01
Step-by-step explanation:
use distance formula
√(x2-x1)^2+(y2-y1)^2
sqrt(8-7)^2+(41-4)^2
sqrt(1)^2+(37)^2
sqrt 1+1369
sqrt 1370
= about 37. 01
Help plz ASAP
150% as a fraction or mixed number
Answer:
150%as a fraction is 3/2
Answer:
1.50 or 1 1/2
Step-by-step explanation:
Hope this helps!
I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answer:
The intersection is at (0,1)
Step-by-step explanation:
y = 7x-6
what is the slope?
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-6 is the y intercept
7 is the slope
y=mx+b
Please help explain how to do this
Answer:
Any number that isn't 3.
Step-by-step explanation:
Any other number should work, so I'll just show you what happens if you use 3.
2(3x - 2) = 6x + 5
6x - 4 = 6x + 5
-4 ≠ 5
As you are aware, that would make it no solution hence why it can't be used.
Plz need help thank u sm
Answer:
x = 5
Step-by-step explanation:
Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.
6x - 5 = 5x (Given)
-5 = -x (Subtract 6x on both sides)
5 = x (Divide -1 on both sides)
Therefore, x = 5.
Answer:
x = 5
Step-by-step explanation:
Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.
Therefore, triangle GJH is an equilateral triangle.
Measures of all sides of an equilateral triangle are equal.
So,
6x - 5 = 5x
6x - 5x = 5
x = 5
f(x)=5(X-2)^2+4
Find vertex, Direction of parabola, and axis of symmetry
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answer:
The answer is 200
Step-by-step explanation:
Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?
Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
His average speed is 65 miles per hour.
Step-by-step explanation:
The answer is 65 because 520 divided by 8 is 65.
P.S Can I have brainliest?
please help........
x = √(10²+24²)
= √(100+576)
=√(676)
= 26.
Answer:
26
Step-by-step explanation:
since wz is a tangent to the circle then measure angle wzy equal 90° so you will be using Pythagoras therom then X = (24)^2 + (10)^2 all under a square root as it's a hypotenuse
Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the
cost of a triple pack of gum. What is the price of a triple pack of gum?
Let x represent a twin pack of gum
Let y represent a triple pack of gum
Answer:
$3.75
Step-by-step explanation:
2/3 = $2.50
2.50/2 = 1.25
1.25x3 = 3.75
The price of the triple pack of gum is $3.75.
Calculation of the price:Since Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the cost of a triple pack of gum.
So,
[tex]2\div 3 = \$2.50\\\\2.50\div 2 = 1.25\\\\1.25\times 3 = 3.75[/tex]
Learn more about price here: https://brainly.com/question/10132345
Jon thinks of a number between 1 and 10.The cube of the number is equal to the square of double the number.What is number jon is thinking of?
Answer:
4
Step-by-step explanation:
4^2=8 8^2=64
4^3=64
Can someone help me?
Answer:
y =4(x-3)^2+2 => y=4x^2-24x+38
y=2(x-3)^2+4 => y=2x^2-12x+22
y=2(x+3)^2+4 => y= 2x^2+12x+22
Y= 4(x+3)^2+2 => y= 4x^2+24x+38
Step-by-step explanation:
Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is
Answer:
Step-by-step explanation:
fixed cost = 100
variable cost = 13
soooo....
cost = (13x + 100)/x
the questions wants to know when cost < 22.50
22.5 > (13x+100)/x
look at graph attached ;)
it looks to me like it's at 11
22.5 > (13(11) + 100) / 11
22.5 > 22.09
try 10
22.5 > (13(10) +100)/10
22.5 > 23 not true so yes.. 11 is when the cost goes below 22.50
Answer:
Y’all the correct answer is 10