Answer:
No solution
Step-by-step explanation:
I'd suggest you try to solve this first: 3√(x + 8) = 4. First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9. We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function. No solution.
If we now write 3√(x + 8) = -4 (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9. If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.
The solution for the given equation is 16.
The given equation is 3√x+8=-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the given equation can be determined as follows:
Now, 3√x+8=-4
⇒ 3√x=-4-8
⇒ 3√x=-12
⇒ √x=-12/3
⇒ √x=-4
Squaring both the sides, we get
x=16
Therefore, the solution for the given equation is 16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
There are currently 4 people signed up to play on a baseball team. The team must have at least 9 players.
Which of the following graphs includes the possible values for the number of people who still need to sign up for the team?
Answer:
B
Step-by-step explanation:
B is correct because it includes 5 and everything higher than that. There needs to be at least 5 more people signing up, and this number line is the only one that shows that, since it includes 5 and more.
whats a quadrilateral with two sides going in the same direction
Answer:
Trapezoid.
Step-by-step explanation:
That is a trapezoid ( in the UK a trapezium).
There is a pair of parallel sides.
Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
alternet interior angles i think?
Step-by-step explanation:
Angles between transversal of parallel lines are related by several angle theorems.
The theorem that supports r || s and transversal q is (b) alternate interior angles theorem
From the image of lines q, r and s (see attachment), we have the following highlights.
Angles 3 and 6; angles 4 and 5, are alternate interior angles, and they are congruent
The above means that:
Angles 2 and 7; angles 1 and 8, are also congruent
Hence, r || s and q is a transversal, because of the alternate interior angle theorem.
Read more about parallel lines and transversal at:
https://brainly.com/question/16967505
Can the two triangles be proven congruent by SAS? Explain. answers: A) Yes. The shared side, image, provides enough information for SAS. B) No. There's only enough information provided for ASA. C) Yes. Angle B and angle D can be assumed to be right angles. D) No. The shared side, image, would provide enough information for SSA, but this is not a congruence theorem.
Answer:
A) Yes. The shared side, image, provides enough information for SAS.
Step-by-step explanation:
Use the spinner to find the theoretical probability of the events. Type your answer in the box below in simplified fraction form.
(will mark brainliest :))
Answer:
Step-by-step explanation:
A: if both 6 and 3 are red then the probability for a red is 2/6 or 1/3, if only 3 or 6 is a red then it is 1/6
B: spinning a 1 is 1/6 probability
C: spinning an odd number is 3/6 or 1/2 as half of the numbers are odd
D: 0 probability as there are no 9
A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they?
Answer:
2 cm = 50 km
Find what the rate would be if 2 became 10 by dividing
10/2=5
multiply the 5 with the rate
5 x 50 = 250
250 km apart
hope this helps
Step-by-step explanation:
Could anyone plz help me with this question ?
Answer:
45
Step-by-step explanation:
b and c are part of an 180 degrees angle.
You already have a 90 degrees angle
180-90=90
And since there are 2 angles
90/2=45
And b and c are vertical angles
radical expression of 4d 3/8
Answer:
[tex] \boxed{4 \sqrt[8]{ {d}^{3} } } [/tex]
Step-by-step explanation:
[tex] = > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} } [/tex]
Which is the graph of the linear equation 3x – 4y = –12?
Answer:
You can graph it using desmos, a free graphing calculator available on your computer, or you can rearrange the equation into a y intercept form, y=mx+b
Step-by-step explanation:
-4y=-12-3x
y=3+(3/4)x
y=(3/4)x+3
Answer:
its graph D
Step-by-step explanation:
got a 100 in the test
Find the volume of the given solid. Leave your answer in terms of pi
Answer: 465 π
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V): π x (diameter /2) ² x height
Replacing with the values given and solving for v (Volume)
V = π x (6/2)²x 50
V = 450π
And then for the bottom part:
Volume of a cone = 1/3 x π x (diameter/2)^2 x height
Replacing with the values given:
V = 1/3 π (6/2) ^2 (5) = 15π
Finally we add the volumes:
450π+15π = 465 π
In conclusion, the volume of the solid is 465π m3.
Feel free to ask for more if needed or if you did not understand something
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
If the air temperature is −14°F, how many degrees must it rise to reach 0°F?
Answer:
14°
Step-by-step explanation:
→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.
→The temperature is -14, so to get it to 0, you add 14:
-14 + 14 = 0
Answer: 14 degrees
Step-by-step explanation:
-14 + x = 0
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.
Answer:
2.4 hours
Step-by-step explanation:
after an hour the distance between them will be 80+70=150 miles
1 hour .......150 m
x hours .......360 m
x*150=360
x=360/150
x=2.4 hours
Answer: 2.4 hours
Step-by-step explanation:
Distance = speed x time
1st train = 80t
2nd train = 70t
80t + 70t = 360
t = 360/150 = 2.4 hours
2. A system of equations is solved by finding the intersections of when f(x) = g(x).
True or False?
Answer:
It's true
Step-by-step explanation:
The lines intersect where f(x) = g(x)
hope it helps!
Evaluate the following expression. 6 squared -1
Answer:
35
Step-by-step explanation:
[tex]6^2 - 1\\36-1\\35[/tex]
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
d
When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answer:
45 mph
Step-by-step explanation:
hope it helps!
The temperature falls from 0 degrees to -12.4 degrees in
13 1/2
hours. Which expression finds the change in temperature per
hour?
Answer:
Step-by-step explanation:
The temperature falls from 0 degrees to -12.4
0-(-12.4) = 12.4
12.4/13.4 degree per hours
0.9185 degrees/ hour
Hevesh wants to make 2 lines of dominoes that are both 21 inches long. Each line has dominoes spaced 1 and 1/2 inches apart. How many dominoes will she need for both lines?
Answer: 30 dominoes in total.
Step-by-step explanation:
Each line is 21 inches long.
the space between dominoes is 1 + 1/2 inches.
(assuming that the distance includes the domino itself) Now, we need at least two dominoes to see this distance,
The we have N + 1 dominoes per line, and the distance is:
N*(1 + 1/2)inches = 21 inches
If we find N, we can find the number of domineoes in each line:
N = 21/(1 + 1/2) = 14
This means that we have 14 + 1 = 15 dominoes in each line, and we have two lines, so we have 30 dominoes in total.
What is the solution to the system of equations graphed below? (0, 4) (1, 3) (3, 1) (4, 0)
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines
it aint the ans but Atleast u can find it
Answer:
(-2, 4) and (4, -3)
Step-by-step explanation:
if it’s the one I think it is, then they intersect at 4 and -3 the other numbers are just background noise tbh bc this was the only choice with 4 and -3
Amy worked 16 hours more than Brayden last month. If Amy worked 8 hours for every 7 hours that Brayden worked, how many hours did they each work? (round answers to 1 decimal place) Amy worked hours Brayden worked hours
Answer:
Amy worked for 128 hours while Brayden worked for 112 hours
Step-by-step explanation:
Given
Let A represents Amy and B represents Brayden
A = 16 + B ------(1)
A:B = 8:7------- (2)
Required
Find A and B;
Convert (2) to fractions
[tex]\frac{A}{B} = \frac{8}{7}[/tex]
Cross Multiply
[tex]7 * A = 8 * B[/tex]
[tex]7A = 8B[/tex]
Substitute A = 16 + B in the above expression
[tex]7(16 + B) = 8B[/tex]
Open Bracket
[tex]7 * 16 + 7 * B = 8B[/tex]
[tex]112 + 7B = 8B[/tex]
Subtract 7B from both sides
[tex]112 + 7B - 7B = 8B - 7B[/tex]
[tex]112 = B[/tex]
[tex]B = 112[/tex]
Recall that A = 16 + B
Hence, [tex]A = 16 + 112[/tex]
[tex]A = 128[/tex]
This implies that Amy worked for 128 hours while Brayden worked for 112 hours
A headteacher wants to survey two Year 7 students. There are 100 students in Year 7. How many possible pairs of students can the headteacher pick?
Answer:
100 divided by 40 is 14
Step-by-step explanation:
just dived 100 by 40 is 14 then add 7 to 14 they give you 21
I know it's Negative Correlation buy I'm so confused on b....
Basically, the question is asking you if there’s any outliers. An outlier is a data point that seems to not follow the other data points. The outlier here is at about (8, 8000). This point does not follow the negative trend of the other points.
Somebody please help me
Answer:
I believe it's 4,080
Step-by-step explanation:
you just add the two numbers
Answer:
4,080
Explanation:
Add how many feet she was when she started to how many feet she hiked.
959 + 3,121
4,080
Therefore, her elevation is now 4,080 feet above sea level.
Please answer!!! i’m trynna pass
Answer:
-6 ≤y≤9
Step-by-step explanation:
The range is the values for the outputs
The range is from -6 inclusive to 9 inclusive
-6 ≤y≤9
HELP ASAP!!!! There is a clip below.
Answer:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation:
3 1/4 x 1 1/3 Please help!!! ~Kweenie~
A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder? A A cone with a volume of 32 cubic feet B A sphere with a volume of 18 cubic feet C A cone with a volume of 72 cubic feet D A cone with a volume of 8 cubic feet
Answer:
A. a cone with a volume of 32 cubic feet
Step-by-step explanation:
Find the sum of the first 14 terms for the sequence -2,10,-50,....
Answer:
Step-by-step explanation:
a=-2
r=10/-2=-5
[tex]s_{14}=a\frac{r^n-1}{r-1} \\=-2\frac{(-5)^{14}-1}{-5-1} \\ =\frac{1}{3}(5^{14}-1)\\=\frac{6103515625-1}{3}\\=\frac{6103515624}{3}\\=2034505208[/tex]
The figure below is made of two identical triangular prisms. What is the volume of the figure?
Answer:
Please post the figure or image of the triangular prisms.
Step-by-step explanation:
Which statement is true?
Answer:
B
Step-by-step explanation:
The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.
