Answer:
x = 6 or x = -5
Step-by-step explanation:
x^2 - 30 = x
x^2 - x - 30 = 0
(x - 6)(x + 5) = 0
x - 6 = 0 or x + 5 = 0
x = 6 or x = -5
2ax - 15 = 3(x + 5) + 5(x - 1) In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
NEED EXPLANATION!
Answer:
Step-by-step explanation:
Hello,
let s regroup the terms
2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***
<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***
<=> 2ax = 8x + 25 *** simplify ***
<=> (2a-8)x = 25 *** subtract 8x from both sides ***
<=> (a-4)x=25/2 *** divide by 2 both sides ***
There is no solution is a-4 = 0 ,
because it would mean 0 = 25/2 and this is not possible
So it gives a = 4
Thanks
In the case when no value of x satisfies the equation so there the value of a should be 4.
Calculation of the value of a:Since
the equation is
2ax - 15 = 3(x + 5) + 5(x - 1)
2ax = 15 + 3x + 15 + 5x - 5
2ax = 8x + 25
(2a-8)x = 25
So a = 4
hence, In the case when no value of x satisfies the equation so there the value of a should be 4.
Learn more about an equation here https://brainly.com/question/22358515
What domain is a function below
Answer:
C
Step-by-step explanation:
Option C is the set of domain
Write as a simplified unit rate: same drove 250 miles with 10 gallons of gas
Answer:
25 miles per gallon
Step-by-step explanation:
hope that's what you were looking for
1. what is the distributive property of 8×59. 2.what is the distributive property of 9×84. 3. what is the distributive property of 6×78 4. what is the distributive property of 7×96
IF 48% of the students in a class are girls:
that percentage are boys?
Represent the percentage of boys as a fraction in it's lowest term
The percentage is 52% and the fraction is 13/25
There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of the speed of light, while the other twin stays home on Earth. How much does the twin on Earth age while the other twin travels to Proxima Centauri?
Answer:
4.7 years
Step-by-step explanation:
Distance of planet from Earth = 1.3 parsec
We know that 1 parsec = 3.26 light years
And a light year is the distance traveled by light in time period of 1 year.
So, Distance of planet from Earth = 1.3 [tex]\times[/tex] 3.26 = 4.24 light years
Given that, the person travels at a speed equal to 90% of the light speed.
To travel to the planet from Earth, Light takes 4.24 years.
To travel the distance [tex]D[/tex], at a speed [tex]s[/tex] light takes time of 4.24 years.
To travel the distance [tex]D[/tex], at a speed [tex]0.90s[/tex], the person takes time:
[tex]\dfrac{4.24}{0.90} = \bold{4.7\ years}[/tex]
So, the twin on Earth ages by 4.7 years.
Answer:
4.7 years
Step-by-step explanation:
Sadie works 5 more hours than Kerry does, and Mark works 2 hours less than Kerry. Together they work 120 hours. How many hours does each person work?
Answer:
Sadie:44 Kerry:39 mark:37
Step-by-step explanation:
(5+w) + w + (w-2)=120
-5 from both sides
w+w+(w-2)=115
+2 from both sides
w+w+w=117
117/3 = w
PLEASE HELP!!
Mai has proven that triangle WYZ is congruent to triangle WYX using Side-Side-Side Triangle Congruence Therom. Why can can she now conclude that diangonal WY bisects angles ZWX and ZYX?
a. Corresponding parts of congruent triangles are congruent.
b. Alternate angles are congruent.
c. This is a quadrilateral.
d. The angles are not congruent.
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
Learn more here:
https://brainly.com/question/19520446
5+ 2/3×= -x+20. This is equations with variables in both sides pls help fast I'll mark as brainliest
Answer:
x = 9
Step-by-step explanation:
5+ 2/3x= -x+20.
Add x to each side
5+ 2/3x +x= -x+x+20
5 + 2/3x+3/3x = 20
5 + 5/3x = 20
Subtract 5 from each side
5+5/3x -5 = 20-5
5/3x = 15
Multiply each side by 3/5
3/5 * 5/3x = 15*3/5
x = 9
Answer:
Step-by-step explanation: 5+2/3x= -x+20
-5. -5
2/3x= -x +15
+x +x
1 2/3x/1 2/3 = 15/1 2/3
X=9
You start at (6, 8). You move right 4 units and left 2 units. Where do you end?
Answer:
8,6
Step-by-step explanation:
A printing company needs to ship 7,000 team calendars to the city's basketball team.
The printing company can fit 700 calendars in each box. How many boxes will the printing company need to use?
Answer:
10
Step-by-step explanation:
The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height. A soda can has inner radius r = 1.5 inches, height h = 6 inches, wall thickness 0.04 inches, and top and bottom thickness 0.07 inches. Use linearization to compute the volume, in cubic inches, of metal in the walls and top and bottom of the can. Give your answer to 2 decimal places.
Answer:
8.20in³
Step-by-step explanation:
Given V = πr²h
r is the radius = 1.5in
h is the height = 6in
thickness of wall of the cylinder dr = 0.04in
top and bottom thickness dh 0.07in+0.07in = 0.14in
To compute the volume, we will find the value of dV
dV = dV/dr • dr + dV/dh • dh
dV/dr = 2πrh
dV/dh = πr²
dV = 2πrh dr + πr² dh
Substituting the values into the formula
dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14
dV = 2π (0.36)+π(1.89)
dV = 0.72π+1.89π
dV = 2.61π
dV = 2.61(3.14)
dV = 8.1954in³
Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)
Write an equation in slope-intercept form for the line that has a slope of 2/3 and passes through the point (2,9)
9514 1404 393
Answer:
y = 2/3x -23/3
Step-by-step explanation:
In a version of point-slope form this is ...
y = m(x -h) +k . . . . . line with slope m through point (h, k)
Expanding this, we have ...
y = mx +(k -mh) . . . . slope-intercept form
For the given point and slope, the equation is ...
y = 2/3x +9 -2/3(2)
y = 2/3x -23/3
Answer:
can you provide more information
Step-by-step explanation:
Which is a solution to the equation?
(x - 3)(x - 5) = 35
O x = -8
O x = -5
O x = 2
O x = 10
Answer:
x = 10
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She repays $3221.75. How many years was the loan period?
Answer:
90.7yrs.
Step-by-step explanation:
Given parameters:
Amount borrowed = $2450
Interest rate = 3.5%
Amount repaid = $3221.75
Unknown:
Number of years the load was paid = ?
Solution:
The formula of simple interest;
I = PRT
Where I is the interest
P is the principal
R is the rate
T is the time
To find the interest;
Interest = Amount paid back - loan = 3221.75 - 2450 = 771.75
Now;
P = IRT
2450 = 771.75 x [tex]\frac{3.5}{100}[/tex] x T
2450 = [tex]\frac{2701.25T}{100}[/tex]
T = [tex]\frac{245000}{2701.125}[/tex] = 90.7yrs
The number of years of the loan period was 90.7yrs.
X + 9 = X - 9
One Solution
Infinitely many
solutions
No Solutions
Please help
Answer:
no solution
Step-by-step explanation:
It's no solution because the first step to do is to subtract 9 from both sides which would give you x=x-18 but now your stuck here because if you subtract x from both sides then you wont have an x so this equation has no solution
Answer:
No solution
Step-by-step explanation:
SOMEONE HELPPP ASAP PLEASE I NEED THE SOLUTION TO BOTH OF THEM HELPP
Answer:
2. 17686.98
3. 1007.81
Step-by-step explanation:
Just add the numbers all together and there's your sum.
can someone help me I will give 30 points
Answer:
40.
Step-by-step explanation:
Look on the graph under minutes and go to minute one and in one minute it can make forty. just go straight up to until you reach the line.
Can I have brainlliest? Hope it helps.
Answer:
30
Step-by-step explanation:
You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project?
A3
B.6
C. 18
D. 27
Answer: B. 6
Step-by-step explanation:
I need the expression that represents the length of the pool
Answer:
2) 41-2x
Step-by-step explanation:
41-2x
2.5(4+2/5)=-13 how do I solve this
Answer: You add 4+2/5 then multiply it times 2.5
Step-by-step explanation:
If you Evaluate it your answer will be: 11 = -13
please help me with this
John is 6 feet 3 inches what is his height in centimeters
Answer:
190.5 centimeters
Step-by-step explanation:
I think it's that. Hope it's right! :)
Round 3.55 to the nearest whole number
Answer:
i think the answer is 4
A, B and C are service stations
AB= 25 miles
BC= 25 miles
Aysha drives along the motorway from A to C
Aysha drives at an average speed of 50 mph from A to B.
She drives at an average speed of 60 mph from B to C.
Work out the difference in the time Aysha takes to drives from A to B and the time Aysha takes to drive from B to C.
Give your answers in minutes.
Answer:
shrek
Step-by-step explanation:
the answer to everything is shrek
-x + 3 = 2 ( x + 15 )
Answer:
x= -9
Step-by-step explanation:
-x+3=2(x+15)
-x+3=2x+30
-x-2x+3=30-3
-3x=30-3
-3x=27
x= -9
Classify the quotient as positive ,negative,zero undefined -15 divided by (-5)
HELPS ME SOLVE THIS PROBLEM PLEASE please
Answer:
(0,4,8,12)
Step-by-step explanation:
Range is all the y values.
Answer:
A
Step-by-step explanation:
HELP ME ASAP Given f(x) = 5x + 2 and g(x) = -x -3, find h(x) = f(x) + g(x).
Answer:
h(x) = 4x - 1
Step-by-step explanation:
h(x) = f(x) + g(x)
= 5x + 2 - x - 3 ← collect like terms
= 4x - 1
Answer:
4x-1
Step-by-step explanation:
h(x)=5x+2+ (-x-3)
h(x) = 5x+2-x-3
h(x)=5x-x+2-3
h(x)=4x-1
what is the answer a b or c
Answer:
A
Step-by-step explanation:
I think
Answer:
66 tens
Step-by-step explanation:
66 hundreds is 6600, and if you divide it by 10, you get 660, or 66 tens.