Answer: 7 and 8
Step-by-step explanation:
[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]
So, both 7 and 8 are in the solution set.
answers for both boxes please
Answer:
5 for the green box and 9 for the purple one
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
2x - 2y = 2
5x + 2y = 12
2x + 5x = 7x
-2y + 2y = 0
2 + 12 = 14
7x = 14
7x/7 = 14/7
x = 2
2x - 2y = 2
2(2) - 2y = 2
4 - 2y = 2
-2y = 2 - 4
-2y = -2
-2y/-2 = -2/-2
y = 1
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 - 5A rectangular prism has a length of 9 centimeters, a width of 4 centimeters, and a height of 2 centimeters.
What is the volume of the prism?
Answer:
It will be 72cm
Step-by-step explanation:
Volume of a rectangular prism = (length x width x height) cubic units.
9x4x2=72
Based on the information given in the diagram, choose all of the statements that are correct.
Answer:
i think its the last one
Step-by-step explanation:
i think its the last on ig
The true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PM What are congruent triangles?Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.
Given is a triangle as shown in the image.
It is clear that the measure of ∠MNP is less than ∠ONP as
∠MNP = 38° < ∠ONP = 39°
The line NP ≅ NP as it is common to both sub - triangles and has same length.
OP > PM since ∠ONP = 39° > ∠MNP = 38°
Therefore, the true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PMTo solve more questions on congruent triangles, visit the link below-
https://brainly.com/question/27848509
#SPJ6
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}
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:
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:
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]
In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?
Answer:
The measure confirming that PQRS would be 25
Step-by-step explanation:
It's easier if you draw it down.
1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.
\
155 \
P \ -------------------------\ Q
\ 25 \
\ \ so that's your shape
S \______________\ R
2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.
3. As mentioned before, in a parallelogram, opposite angles are the same and therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.
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.
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?
What is the origin of algebraic expresions plz
f(x)=5(X-2)^2+4
Find vertex, Direction of parabola, and axis of symmetry
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
Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?
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
1) What is the difference between a number and its positive square root is 12. Find the number
2) One of the diagonals of a rectangle is 20cm long. If the difference between its length and width is 4cm, find the area of the rectangle
Answer:
algebra
Step-by-step explanation:
using algebra form an equation than solve for the variable keep in mind u have to square it
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]
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.
A lamp is on sale for 10% off the regular price of $159. What is the sale price of the lamp?
$143.10
$145.90
$147.50
$149.00
Answer:
$143.10
Step-by-step explanation:
$159 (regular price) - 10% = $143.1 = $143.10
Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!
-Bee
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!
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
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:
The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.
Answer:
25%
Step-by-step explanation:
Given that,
Initial cost of a t-shirt = $30
Final cost of a t-shirt = $37.50
We need to find percent of change. The percentage change in any value is given by :
[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]
Hence, the percentage error is 25%.
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:
Please help me !
Juan drew line segment EF on the coordinate plane. Determine the distance between the points E and F. Round your number to the nearest hundredth
Step-by-step explanation:
sogzglzotsoypysotaota9t8ts
It would be 120 ye f = 8 E = 3 1/2
find 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
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
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
if 2t2 eqauls 4 then wah t is 2t4