Answer:
The function is increasing in the interval (-5,∞)
Step-by-step explanation:
we have
[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
Answer:
(–5, ∞)
Step-by-step explanation:
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
find the answer and explain.560.450-34.34872
Answer:526.101
Step-by-step explanation:
To find 560.450-34.34872
=526.101
That is u subtract 560.450-34.34872
We get
=526.101
z^4=-625 please help!!!!!!!!!
Answer:
-5
Step-by-step explanation:
sqrt(625) = 25
sqrt(25) = 5
Since 625 is -625, the answer is -5
Three times William's age, w, is less than his cousin Sandra's age, 15. On the number line below, select from the points three possible ages that William could be.
1,2,4,5,7,8,10
Answer:
5,4,2
Step-by-step explanation:
Answer:
1,2,4
Step-by-step explanation:
1 point
#17: A rectangular shape has an area of 150 square units. The sides of the
rectangle measure (x + 3) and (x - 2). What is the value of x? (Type the final
answer as x=# without any space. Example: x=35 If there are two possible
values of x, write the final answer as follows: x=35 and x=36) *
Answer:
The only possible value of x is 12
Step-by-step explanation:
The rectangular shape has an area of 150 square units. The sides of the rectangle measures (x + 3) and (x - 2). The value of x can be computed below
area of a rectangle = length × breadth
area = 150 unit²
The sides are (x + 3) and (x - 2)
Therefore,
(x + 3)(x - 2) = 150
x² -2x + 3x - 6 = 150
x²+ x - 6 = 150
x²+ x - 6 - 150 = 0
x²+ x - 156 = 0
(x - 12)(x + 13) = 0
Therefore,
x = 12 or x = -13
It cannot be - 13 because the sides cannot result to negative . We are left with only 12.
x = 12
The only possible value of x is 12
The value of x is 12
The dimensions of the rectangle are given as:
Length = x + 3Width = x - 2The area is given as:
Area = 150The area of a rectangle is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex](x + 3)(x -2) = 150[/tex]
Expand
[tex]x^2 + 3x - 2x - 6 = 150[/tex]
[tex]x^2 + x - 6 = 150[/tex]
Subtract 150 from both sides
[tex]x^2 + x - 156 = 0[/tex]
Factorize the above equation
[tex](x + 13)(x - 12) = 0[/tex]
Solve for x
[tex]x = -13[/tex] or [tex]x =12[/tex]
The value of x cannot be negative.
So, the value of x is 12
Read more about areas at:
https://brainly.com/question/11202023
945 times 134 is equal to what
945*134=126630
if you line them up and then multiply like that it makes it easier or just use a calculator i guess
Marissa claims that stacking 6 blocks with dimensions of One-half times 1 times 1 will give the same volume as stacking 9 blocks with dimensions of One-third times 1 times 1. Which statements about her claim are true? Check all that apply.
A. Six of the one-half cubes would have a volume of 3 cubic units.
B. Nine of the one-third cubes would have a volume of 6 cubic units.
C. Since One-half and One-third do not have common factors, stacks of one-half
cubes and stacks of third-cubes could never have the same volume.
D. Three of the one-third cubes will make 1 unit cube.
E. Two of the one-half cubes will make 1 unit cube.
F. Both stacks will have a volume of 3 cubic units.
Answer:
(A)Six of the one-half cubes would have a volume of 3 cubic units.
(D)Three of the one-third cubes will make 1 unit cube.
(E)Two of the one-half cubes will make 1 unit cube.
(F)Both stacks will have a volume of 3 cubic units.
sorry you havent gotten an answer until two weeks later
Answer:
The answers are A D E F
Step-by-step explanation:
Hope I helped and stay safe out there <3
Two prisms are similar if the ratios of corresponding parts are equal.
A. True
B. False
True because it they are similar and corresponding the parts are equal.
what is the probability of tossing a standard coin and having it land on head three times in a row?
Answer:
the probability of a coin landing on heads 3 times in a row is 1/8 or 0.125 or 12.5%
Step-by-step explanation:
the chance of landing heads once is 1/2, for it to be 2 times in a row its 1/4, and 3 times in a row its 1/8, basically every time you want to do it in a row you multiply 1/2, so for example for this question you multiply 1/2 by however times you want the coin to land on heads in a row, (1/2) X(1/2)X(1/2)
In Mrs. Smith’s enrichment class, 25% of the students are boys. There are 7 boys in the class. How many total students are in Mrs. Smith’s enrichment class?
Answer:28
Step-by-step explanation: 25% is 1/4 so you can multiply 7 and 4 to get 28
You deposit $3,500 into an account which yields 4% interest. If the account is compounded monthly, how much would you have in 6 years?
Answer: $4,447.49
Step-by-step explanation:
(1) 3500 (1 + 0.04 / 12) ^ 12 x 6
(2) A = 3500 x 1.003333^72
(3) A = 3500 x 1.270711
(4) A = 4,447.49
Use the Pythagorean theorem to find the length of the leg in the triangle shown below. K
Answer:
hope it helps you see the attachment for further information.....
Answer:
9
Step-by-step explanation:
No explanation needed on this
expand and simplify 5(2y+1)^2 -4
Answer:
20y² + 20y + 1
Step-by-step explanation:
Given
5(2y + 1)² - 4 ← expand the factor using FOIL
= 5(4y² + 4y + 1) - 4 ← distribute parenthesis by 5
= 20y² + 20y + 5 - 4
= 20y² + 20y + 1
Answer:20y2+20y+1
Step-by-step explanation:
Let's simplify step-by-step.
5(2y+1)2−4
Distribute:
=20y2+20y+5+−4
Combine Like Terms:
=20y2+20y+5+−4
=(20y2)+(20y)+(5+−4)
=20y2+20y+1
PLEASE PLEASE HELP the question is below
Answer:
244
Step-by-step explanation:
216+28
so the answer is of option B...
What is the center of the circle given by the equation below?
x2 - 6x = -y2 - 12y - 9
A.
(3 , -6)
B.
(-3 , -6)
C.
(3 , 6)
D.
(-3 , 6)
Answer:
Step-by-step explanation:
x
=
3
+
√
y
(
−
y
−
12
)
x
=
3
−
√
y
(
−
y
−
12
)
each set of orther pairs (x, y) represents a relashionship with imput, x, and output, y. which relatonship is a function? a. {(0,1), (0,2), (0,3)} b. {(1,1), (2,2), (3,3)} c. {(1,1),(2,1),(3,1)} d. {(1,1),(2,2),(2,-2)} e. {(1,-1),(2,-2).(3,-3)}
Answer:
b, c, e
Step-by-step explanation:
A function has unique x-values (inputs). Several of the relations here are functions:
a. {(0,1), (0,2), (0,3)} . . . repeated x-value of 0, not a function
b. {(1,1), (2,2), (3,3)} ... function
c. {(1,1),(2,1),(3,1)} ... function
d. {(1,1),(2,2),(2,-2)} . . . repeated x-value of 2, not a function
e. {(1,-1),(2,-2).(3,-3)} ... function
What is a series?
A sequence of numbers separated by commas.
A sequence of numbers summed together.
Numbers that are put in a group.
Answer:
A sequence of numbers summed together
Step-by-step explanation:
A series of numbers is nothing else but the sum of the various numbers or elements of a sequences.
Gabriel wants to send a parcel to Italy.
His parcel is a cuboid with dimensions 10 cm, 20cm and 40 cm.
He looks at the prices of two companies,
We Deliver and GoParcels.
Not drawn
to scale
We Deliver
Total cost: Sum, in cm, of the 3 dimensions * £0.80 Find the cost or sending th
parcel with each company.
GoParcels
Give each of your answers
Total cost: Total area, in cm, of all 6 faces x £0.02 pounds (2).
Find the cost of sending the parcel with both the companies is the same - £56.00.
Given:
Parcel dimensions: 10 cm, 20cm and 40 cm
1. We Deliver:
Total cost = (Sum of the 3 dimensions) * £0.80
Total cost = (10 cm + 20 cm + 40 cm) * £0.80
Total cost = 70 cm * £0.80
Total cost = £56.00
So, the cost of sending the parcel with We Deliver is £56.00.
2. GoParcels:
Total cost = (Total area of all 6 faces) * £0.02
Total area = 2 * (10 cm * 20 cm + 20 cm * 40 cm + 40 cm * 10 cm)
= 2 * (200 cm² + 800 cm² + 400 cm²)
= 2 * 1400 cm²
= 2800 cm²
Total cost = 2800 cm² * £0.02
Total cost = £56.00
So, the cost of sending the parcel with GoParcels is also £56.00.
Therefore, the cost of sending the parcel with both companies is the same, and it is £56.00.
Find the approximate perimeter of rectangle FOUR plotted below.
Round your final answer to the nearest hundredth.
The first to answer correctly will get the brainliest answer
Answer:40.25
Step-by-step explanation:
9x-4 (x-3)+72
what is X?
Answer:
x = 12
Step-by-step explanation:
9*x-4*(x-3)-(72)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(9x - 4 • (x - 3)) - 72 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
5x - 60 = 5 • (x - 12)
Answer:
I think answer is 16.8....
Write the equation of the line that passes through the given points.
(2,7.5) and (0, -1.5)
Answer:
y=4.5x +1.5
Step-by-step explanation:
First find your slope using y₂-y₁/x₂-x₁. In this case, your slope should come out to be 4.5. Now put your slope into slope-intercept form to get y=4.5x+b. Now to find the intercept, substitute any of the original coordinates in for x and y. I chose to use (2,7.5); the equation should now read 7.5= 2(4.5)+b. Solve the equation to get b=1.5. Now substitute everything back to slope-intercept form to get y=4.5x +1.5.
Hope this helps!
To find the equation of the line passing through (2, 7.5) and (0, -1.5), you first determine the slope m = 4.5 by using the slope formula. The y-intercept b is -1.5 as the line intersects the y-axis at (0, -1.5). Therefore, the equation of the line is y = 4.5x - 1.5.
Explanation:To write the equation of the line that passes through the given points, (2, 7.5) and (0, -1.5), you first need to find the slope (m) and the y-intercept (b) of the line. The slope is found using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given points into the formula gives:
m = (7.5 - -1.5) / (2 - 0) = 4.5
The y-intercept b is simply the y-coordinate of the point where the line intersects the y-axis. Since one of the given points is (0, -1.5), which lies on the y-axis, the y-intercept is -1.5.
Substituting m and b into the slope-intercept form gives the equation of the line:
y = mx + b => y = 4.5x - 1.5
Learn more about Linear Equation here:https://brainly.com/question/32634451
#SPJ2
PLZ HELP! WILL GIVE BRAINLIEST!
Answer:
6×[tex]10^{26}[/tex]
Step-by-step explanation:
Exponent are added when multiplied while constants are multiplied.
Help ASAP ! Show work
Answer:
Step-by-step explanation:
Using formula [tex]a^{2} + b^{2} =c^{2}[/tex]
a= 650
b= 800
and c is the unkown
What show variability a dot plot or a box plot
dot plot shows variability
lmk if this helps
Where is the dot plot so we can help
what is (-2/-3) divided by 3 3/4 =
Answer:
8/45
Step-by-step explanation:
(-2/-3)=2/3
3 3/4=15/4
(2/3)/(15/4)=2/3*4/15=8/45
So the answer is 8/45
5/6k=4/7 what does k equal?
[tex]\text{Solve for k:}\\\\\frac{5}{6}k=\frac{4}{7}\\\\\text{You can multiply both sides by 6/5, cancelling the 5/6 on the left}\\\\\frac{6}{5}*\frac{5}{6}k=\frac{4}{7}*\frac{6}{5}\\\\k=\frac{4}{7}*\frac{6}{5}\\\\\text{Multiply across}\\\\\boxed{k=\frac{24}{35}}[/tex]
How many solutions does the system have? 6x-y=-1 6x+y=-1
Answer:
One
Step-by-step explanation:
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1\2 unit.
How many 1/2 unit cubes does it take to fill the prism?
Answer:
Well, Your best answer will be is 48. Because, If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48. Good Luck!
What is the approximate area of a circle with a diameter of 28 yards?
2463.0 sq yd
615.8 sq yd
88.0 sq yd
Answer:
615.8 sq yards
Step-by-step explanation:
hope this helps! :)
3. Nina has $20.14 in her purse. She buys lunch
for $9.67. How much does she have left?
Answer:
Nina has $10.47 left.
Step-by-step explanation:
$20.14 minus $9.67 is $10.47
Answer:
$10.47
Step-by-step explanation:
Nina has $20.14.If she uses $9.67 for lunch then she would be left with($20.14-$9.67) which is equal to $10.47......
Find g: 3g + 15 - 12 + 3 - 2g + 4 = 1
Answer:
g = -9
Step-by-step explanation:
3g + 15 - 12 + 3 - 2g + 4 = 1
Step 1: Collect like terms
3g - 2g + 15 +3 + 4 - 12 = 1
g +22 -12 = 1
g + 10 = 1
g = 1 - 10
g = -9