NO LINKS!!!!!
identify a possible pair of values for a and c so that ax^2 + 10x = c has one real solution. Then write the equation.
The solution is a = 5 and c = - 5
What is the equation?
9514 1404 393
Answer:
5x^2 +10x = -5
Step-by-step explanation:
The equation will have one solution when the discriminant is zero.
In standard form, the equation is ...
ax^2 +10x -c = 0
The discriminant of the equation ax^2+bx+c=0 is ...
b^2 -4ac
so the discriminant of your equation is ...
10^2 -4a(-c) = 100 +4ac
We want that to be zero, so we require ...
100 +4ac = 0
25 +ac = 0
ac = -25
Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...
5x^2 +10x = -5 . . . . . the equation with a=5, c=-5
_____
Additional comment
Your problem statement does not require that 'a' be non-zero. If a=0, then the equation will have one real solution for any value of c.
If you restrict the solutions to integers, then possibilities include ...
(a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)
Answer:
The equation is 5x+10x=-5
Step-by-step explanation:
Evaluate each expression if x = 7, y = 1, and z = 8.
=
19. x + y + 2
20. x + 2z
21. 4y
22. 4x – 3z
23. 4x – 17
24. 62 – 52
shto The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
25. 9y + (2x + 1)
26. 14 + 2z
27. 2 : 2
28. xz
29. y - x
30. 24y - 2
31. x2 – 2y + 8
32. 2xz
33. 30y - 40x – 1,000
19, 15.5
20, 25
21, 1/16
22, 4
23, 11
24, 8
25, 19.5
26, 30
27, 4
28, 56
29, 6.5
30, 4
31, 21
32, 112
33, 3,200
here are they
guys help
Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= (25)2 × 100 ÷ 23 + [24 ÷ 8]
= 25 × 2 × 100/23 + 3
= 5000/23 + 3
= 5000+69/23
= 5069/23
= 220 9/23
plz answer this with complete process plzzz I will give you brainlist ..........
Answer:
Step-by-step explanation:
Needs a picture to be solved, please put one.
Answer:
i know
Step-by-step explanation:
I know have a amazing day
What is the answer to this question: 8V+3=105
Note: this is Vertical/Adjacent/Complementary Angles (Algebraic)
8V+3=105
clt
8v=105-3
=102
divide both sides by 8v
8v=102/8v
V=12.75
Which equation repersentes a
linear function?
Answer:
The formula y = mx + b is said to be a linear function
Step-by-step explanation:
Answer:
D. is a linear function
Step-by-step explanation:
A. rational function
B. quadratic function
C. cube root function
Hi , do you love math ?
Answer: yes math is so good
Step-by-step explanation:
Round 909.09 to the nearest hundredth
Answer:
909.1
The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1
Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.
Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.
A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)
Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
PLEASE SHOW ME A PICTURE OF THE GRAPHED ANSWERS.
[tex]\\ \sf\longmapsto 3x-9y> 27[/tex]
[tex]\\ \sf\longmapsto x-3y>9---(1)[/tex]
And
[tex]\\ \sf\longmapsto y-3\leqslant -4/3(x+7)[/tex]
[tex]\\ \sf\longmapsto 3y-9\leqslant -4x+28[/tex]
[tex]\\ \sf\longmapsto 3y+4x\leqslant 37--(2)[/tex]
Graph attached
geometry homework help
Answer:
To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128
m<1= 128
For the first one (i think)
Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.
66+84+x=180
You’d get x=30
Now we have 30 as angle 1.
angle 3 and 84 degrees are supplementary so we can just do
84+y=180 which in this case is 96 so angle 3 is 96
Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing
96+43+n=180
in this case n is angle 2 and the measure of angle 2 is 41 degrees.
Final answers:
m<1=30
m<2= 41
m<3= 96
Answer:
Step-by-step explanation:
Question 2
1 = 76+52=128
=180-128
=5266+84 = 150 180-150=30
2. 96+43=139 180-139=
=41
3.180-84
=96
find the quotient please
A tank has a capacity of 10 gallons. When it’s full it contains 12% alcohol. How many gallons must be replaced by a 36% alcohol solution to give 10 gallons of 15% alcohol solution?
Answer:
Ie e did I
Step-by-step explanation:
djdusudusis
2 (3) to the power of 3 + 5
Answer:
13122
Step-by-step explanation:
Our equation is 2(3)⁸
once its solve we get 13122 as our answer
The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?
The percentage change in the number of burglaries over the two-year period is 35% .
The change in burglaries over the two-year period to have a 40% increase is 6.7%.
Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.
The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350
The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%
In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used
(x - 1000) / 1000 = 0.40
x - 1000 = 400
x = 1400
The change in burglaries over the two-year period to have a 40% increase = (1400 / 1500) - 1 = 6.7%
To learn more, please check: https://brainly.com/question/9350849
What is the midpoint of the segment shown below?
A.(5,7/2)
B.(5,7)
C.(5/2,7)
D.(5/2,7/2)
Answer:
D
Step-by-step explanation:
[tex](x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)[/tex]
One angle of a triangle measures 134 degrees. The other two angles are in a ratio of 9:14. What are the measures of those two angles?
Answer:
18:28
Step-by-step explanation:
What temperature is halfway between:
6 and -2
Answer:
The answer is 2
Step-by-step explanation:
-2, -1, 0, 1, 2, 3, 4, 5, 6
If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.
Please answer the question in the image
Answer:
I don't know i just need the points
An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98
Answer:
$76.
Step-by-step explanation:
Find the exact value of the expression below
Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees
Answer:
0
Step-by-step explanation:
1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)
1-1
0
for more refer to the image
There are 10 girls in the class. This is three less thank half the number of boys . How many boys are in the class?
Answer:
there are 6 boys
Step-by-step explanation:
2logx= log 16 + log 4 find the value of x
Step-by-step explanation:
the rules of logarithm.
log(a×b) = log(a) + log(b)
log(a^b) = b×log(a)
2×log(x) = log(16) + log(4)
now, using the above knowledge :
log(x²) = log(16×4)
=>
x² = 16×4 = 64
x = ±8
and since a logarithm of a negative number is undefined the only plausible solution is
x = 8
1. Baking Blueberry Pies
Mrs. Berry is famous for her pies. She has been making pies in her bakery for many
years. She knows that it takes 1 2/3 cups of flour to make her special pie crust. She
buys flour in 25 pound bags and knows that each pound contains about 3 cups of flour.
How many pies can she expect to make from a 25 pound bag of flour?
Answer:
45 piesStep-by-step explanation:
25 pound bag contains:
25*3 = 75 cups of flourNumber of pies:
75 : 1 2/3 = 75 : 5/3 = 75 * 3/5 =45 piesHere is another one if anyone can help me out
Answer:
1. 3 × Equation [A2] --> Equation [B2]
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
Step-by-step explanation:
1. 3 × Equation [A2] --> Equation [B2]
Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol
Instead, this works:
4x × 3 = 12x
-7y × 3 = -21y
8 × 3 = 24
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
(-3x × 4) + 12x = -12x + 12x = 0x
(2y × 4) + -21y = 8y - 21y = -13y
(7 × 4) + 28 = 28 + 24 = 52
=========================
I'll try to explain my process a little this time.
From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.
Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.
which ones would be correct?
[tex] \: \: \: \: \: [/tex]
parallelogramA parallelogram has two pairs of congruent sides. For two line segments to be congruent, they must have equal length.hope it helps[tex] \: \: \: \: \: [/tex]
Each square below represents one whole ……. What percent is represents by the shade area ?
helppppp meeeeeeeeeeeeeeeeeeeeeee
Answer:
D 104
Step-by-step explanation:
A and b are too small to have $71 left. C is also not enough if he had $71 left.
(-5)⁶ ÷ (-5)⁸
Solution
please help me with this
Answer:
∠5 is supplementary.
It forms a straight angle with ∠1.
The step club made friendship bracelet as a fundraiser and sold them for $1.75 each. The club made a profit of $182. How many bracelets did the step club make?
Answer:
104 bracelets
Step-by-step explanation:
182 ÷ 1.75 = 104