Answer:
x = [tex]\frac{3}{2} , -5[/tex]
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]
Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
[tex]x+5 = 0\\x = -5[/tex]
Therefore, -5 is a root as well.
The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.
Find the surface area of the prism (no unit)
Answer:
1464
Step-by-step explanation:
16*22*2=704
10*16*2=320
10*22*2=440
704+320+440 = 1464
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
*lilybaker49's work was used - credit goes to her
Find the distance between points P(6, 2) and Q(5, 9) to the nearest tenth.
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
Distance formula
[tex]d =\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex] ------------ (1)
Here
[tex](x_1, y_1) = (6, 2) \ \ \ and \ \ \ (x_2, y_2) = (5, 9)[/tex]
Substituting values in equation (1)
[tex]d =\sqrt{(5-6)^{2} + (9-2)^{2} }[/tex]
[tex]d =\sqrt{(-1)^{2} + (7)^{2} }[/tex]
[tex]d = \sqrt { 50 }[/tex]
[tex]d=7.07[/tex]
the nearest tenth is 10
please help me figure out this outfit
Ralph has 25% left of his Gatorade.
3 ÷ 12 = 0.25 --> 25%
HELP NEEDED ASAP!!!!!
Which point IS a solution?
A: (0,6)
B: (-3,4)
C: (1,0)
D: (-4,3)
Answer: (-3, 4)
Step-by-step explanation:
The point at which both lines intersect is (-3, 4)
And since they intersect at ONE point, it just has one solution.
Hope I helped!
What is the answer in a whole number or decimal
Answer:
i = 8
Step-by-step explanation:
please help me with these two problems thank you!!
Answer:
1st question: y=1/3x-1
2nd question: y=-2/3x+9
Step-by-step explanation:
Y=mx+b form is what you are using
when a line in parallel to a line they have the same slop wich is m
when a line in perpendicular they have the opposite reciprocal
Examples: 2/5 opposite reciprocal would be -5/2
Round 344,501 to the nearest ten thousand
Answer:
340,000
Step-by-step explanation:
340e3
What is m Help please!
9514 1404 393
Answer:
40°
Step-by-step explanation:
The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...
∠R +∠W +∠T = 180°
85° +55° +∠T = 180°
∠T = 180° -140°
∠T = 40°
15 POINTS!
Please help
Thank you
Answer: 1. 2 x^3 - 13 x + 15
2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x
Step-by-step explanation:
Val is in a race that has a 2 10-mile swim and a 26 10-mile run. How far does Val
swim and run altogether?
28 miles
28 miles
28 miles
29 miles
Step-by-step explanation:
bdhdhjndnfdndnnskdkdkskdkdkd
HEY! HELP PLEASE, ASAP!! THANKS SO MUCH!!!!
Answer: I think its b
Step-by-step explanation:
1.37x = 12.741
A.14.111
B.17.45517
C.9.3
D.11.371
hey! the answer to your question is b because 1.37x12.741 is the answer 17.45517
Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circles touch each other
Answer:
[tex]AB=2\sqrt{ab}[/tex]
Step-by-step explanation:
From figure,
[tex]OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)[/tex]
In triangle [tex]OO'D[/tex]
[tex](OO')^2=(OD)^2+(O' D)^2[/tex]
[tex]\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}][/tex]
Hence, [tex]AB=2\sqrt{ab}[/tex]
If the diameter of a circle is 80m, then what is the radius of the circle
Answer:
40m
Step-by-step explanation:
Radius is half of diameter
y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )
Answer:
The answer is 5.
Step-by-step explanation:
Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.
3x^3-21x^2-54x multiplicity
Answer:
3x (x+2) (x−9)
(factored)
hope this helps :D
Deshawn earned $48 raking leaves last October. He decided to save 38 of his money. How much money did Deshawn save?
Answer: I don't know i'm taking a benchmark about that question an that pop up
Step-by-step explanation:
Answer:
Step-by-step explanation:
Therefore, you would multiply 48/1 * 3/8 and that will give you your answer. 48/1 * 3/8 = 144/8, which is 144 divided 8. And that comes out to be 18, so Deshanwn saved $18.
Hope this helps
A super clearance sale, bathing suits were marked 85% off. What is the sale price of a bathing suit that was originally priced $60 ?
Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?
Answer:
The Original Number is 36 :)
explanation:
Help pls. Rauls classmates evaluated Raul’s conjecture as to whether it was true or false and gave a reason. Which response is correct?
Can someone Help me please
Answer:
47
Step-by-step explanation:
using exterior angle property,
23+5x-1=9x+2
→20=9x-5x
→20=4x→ x=5
angle PRS= 9X +2 = 9*5 +2= 47
What are the roots of the equation 5x^2=-17x-165x in simplest a+bi form?
Which of the following changes in a dilation? (Help fast please)
A. shape
B. slope
C. size
D. angle measures
Answer:
C. size
Step-by-step explanation:
A dilation does not change the shape of a figure, but it can change the size.
The gas tank in my car is 5/6 full . Each time I drive it to or from work I use 1/12 of a full tank of gas . Which equation represents the number of times I can drive to or from work with the gas in my tank
Answer:
5/6 = 1/12x
Step-by-step explanation:
x represents the amount of times you can can drive to or from work with the gas in the tank
5/6 = 1/12x
- Multiply both sides of equation by 12
10 = x
A table of equivalent ratios is given.
What is the missing number in the table?
Answer:
It's 30
..................
they all are equal to 1:3
so 90/3=30
answer is 30 !
*
6. Determine the Rate of Change in the graph below.
Answer: slope is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change
Simplify the following expression:
9^−53 ⋅ 9^37
Please also explain your answer. Thanks!
Answer:
Simplify the expression.
Exact Form:
1 /1853020188851840
Decimal Form:
5.39659527 x 10 − 16
Step-by-step explanation:
Six students share 8 granola bars equally. How many granola bars does each student get?
Answer:
1 whole one and a third of one.
Step-by-step explanation:
1 1/3 of a granola bar
Answer: 1.33333333333 or 1.3 as a repeating decimal
Just divide 8 ÷ 6
Which of the following equations is true for ATUX? I u A X t e tan X = O cos X = O sin X =23 O Sin X =
Answer:
second is a answer cos X= x/i
Answer:
Step-by-step explanation:
sin X = x / u
NOT THE PREVIOUS ANSWER
A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm
Answer:
4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm
hence the dimension of the cut part is
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3