Answer:
p = 2/3
q = 1/2
Step-by-step explanation:
The given equation is ,
[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]
We can write it as ,
[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]
Rearrange the terms ,
[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]
This can be written as ,
[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]
Now wrt Standard form of a quadratic equation ,
[tex]\bf \implies ax^2+bx + c = 0 [/tex]
we have ,
a = p b = p - 2 c = 3q - 1We know that product of zeroes :-
[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]
Sum of roots :-
[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]
Which statement about these two restaurant meals is correct? A. Neither meal contains any nutrients. B. Meal A is the more healthful choice. C. Meal B is the more healthful choice. D. Both meals are healthful choices.
Answer:
D. Both meals are healthful choices
what is the missing reason in the proof?
2(4+2x)≥5x+5 solve inequality
Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x)≥5x+5
8+4x≥5x+5
4x-5x≥5-8
-x≥-3
x ≤ 3
[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]
Sam made $147 for 7 hours of work at the same rate how much would he make for 9 hours of work
7. Give an example of a polynomial with a degree of 3.
[tex]\large{\textrm{{{\color{navy}{ax³ + bx² + cx + d}}}}}[/tex]
It is a cubic polynomial.This cubic polynomial has 3 zeros.la suma de 4 numeros consecutivos es 54 ¿cual es el numero mayor?
Answer:I don’t speak Spanish so I can’t help
Step-by-step explanation:
The graph shows a proportional relationship. Which equation matches the
graph?
10
14
12
10
8
6
4
2
10
2
14
4
8
10 12
O A. y = x
O B. y = 2
O C. y = 50
O D. 9=152
Answer:
C.
Step-by-step explanation:
i guess it's letter c. y=50
is my answers correct?
Answer:
Saleh is x years old. And 10 years ago he was 100 years old.
Suha is x years old. Saleh is 10 years younger than Suha. Saleh is 100 years old.
What conclusion would be true given the hypothesis?
Answer:
4th option
Step-by-step explanation:
If ∠ 1 = ∠ 2 = ∠ 3
Then ∠ 1 = ∠ 3 is true
Answer:
The second one the measure of angle?1 is less then angle 3 is the correct answer.
Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?
Answer:
36 years
Step-by-step explanation:
Let
x = Elga's age
Alvin's age = x + 7
Sum of their ages = 79
Sum of their ages = Alvin's age + Elga's age
79 = (x + 7) + x
79 = x + 7 + x
79 = 2x + 7
79 - 7 = 2x
72 = 2x
x = 72/2
x = 36
Elga's age = x = 36 years
Alvin's age = x + 7
= 36 + 7
= 43 years
Question 4
Points 2
A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to
cover a total of 24 kilometers? Solve using unit rates.
solve for x. Round to the nearest tenth, if necessary.
Answer:
50.8°
Step-by-step explanation:
In ∆ IJK :-
sin x = 6.2/8 x = sin -¹ ( 62/80) x = sin -¹ ( 31/40 ) x = 50.8°
Ion kno this help pls?????????????
Answer:
[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]
10 ^ (th) term for AP-5,-10,-15,..... is :-(A) -955 (B) 50 (C) -50 (D) 955
Answer:
C
Step-by-step explanation:
The nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then
a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C
Find the value of n.
PLEASE HELP ASAP!
Answer:
d .9
Step-by-step explanation:
n^2-3 = 2×39 (line joining midpoints is half of third line )
n^2 = 78+3
n^2 =81
n =9
Tell whether the angles are adjacent or vertical. Then find the value of x.
The angles are angles
The value of x is
Answer:
If two angles have common side and they shares common vertex, they are called adjacent angles.
When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.
Two angles shown in diagram are adjacent as they are on common side.
Both the angles are on a straight line, hence
Subtracting 109 from both sides
Both angles shown in diagram are opposite to each other, hence vertical angles.
As they are opposite to each other, they both are equal.
Subtracting x from both sides
Subtracting 1 from both sides
Both angles are having a common side means they are adjacent angles.
As they are on straight line, both angles will add up to 180 °.
Subtracting 96 from both sides
Dividing from 6 in both sides
Hope it will help :)
Please send me answer please
the answer will be
11.25÷15=0.75Hooe it helps!
PLEASE HELP!!!
Solve for x in the following equation!!!
[tex]sin(\frac{3\pi }{2}+x) + sin(\frac{3\pi }{2}+x)=-2[/tex]
Answer:
Step-by-step explanation:
First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into
[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get
[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:
[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:
(-1cosx + 0sinx) = -1 which simplifies to
-1cosx = -1 so
cosx = 1 and
x = 0 or 2π, depending upon what your interval is.
Graph the function f(x)= -5(x+5)^2–4.
Plot the vertex. Then plot another point on the parabola.
Answer:
Vertex= (-5,-4)
Another point=(0, -129)
Step-by-step explanation:
The vertex is also the maximum, and the point is also the y-intercept.
Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50. Please help ASAP!!!!
Answer:
what is the question you are only telling us the fact
Step-by-step explanation:
show that the disgonals of a square are equal and bisect each other at right angle
Luigi uses 39 cups of flour for every 6 pizzas he makes. How many cups of flour does he need to make 4 pizzas? If he uses 13 cups of flour how many pizzas can he make?
Answer:
4 pizzas - 26 cups
13 cups - 2 pizzas
Step-by-step explanation:
4 pizzas:
39 cups : 6 pizzas
6.5 cups : 1 pizza
6.5×4 cups : 4 pizzas
4 pizzas = 26 cups
6.5 cups : 1 pizza
13/6.5 cups : x pizzas
13 cups = 2 pizzas
Answer:
1) necesita 26 tazas de harina .
2) puede hacer solo 2 pizzas .
espero te sirva :)
Step-by-step explanation:
1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.
2) 6,5 por 2 = 13.
someone help me with my algebra homework please
Answer:
(8,2.40)
Step-by-step explanation:
simplify the ratio 4.5: 3 1/2 in its simplest form
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 [tex]\frac{1}{2}[/tex] ( multiply both parts by 2 to clear the fractions )
= 9 : 7
I need who help .. who can be my lifesaver
Answer:
Q = G
Step-by-step explanation:
We are already given that angle P = angle H
We are also given that side QP = side GH
Remember if two sides are congruent then so are their opposite angles meaning that the opposite angle of GH ( which would be angle F ) would be congruent to the opposite angle of QP ( which would be angle R )
The remaining angles would be angle q and angle g so the additional information needed would be G = Q
Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate integrating factor. y(6x y 6) dx (6x 2y) dy
Answer:
[tex]\mathbf{6xe^xy+y^2e^x = C}[/tex] which implies that C is the integrating factor
Step-by-step explanation:
The correct format for the equation given is:
[tex]y(6x+y +6)dx +(6x +2y)dy=0[/tex]
By the application of the general differential equation:
⇒ Mdx + Ndy = 0
where:
M = 6xy+y²+6y
[tex]\dfrac{\partial M}{\partial y}= 6x+2y+6[/tex]
and
N = 6x +2y
[tex]\dfrac{\partial N}{\partial x}= 6[/tex]
∴
[tex]f(x) = \dfrac{1}{N}\Big(\dfrac{\partial M}{\partial y}- \dfrac{\partial N}{\partial x} \Big)[/tex]
[tex]f(x) = \dfrac{1}{6x+2y}(6x+2y+6-6)[/tex]
[tex]f(x) = \dfrac{1}{6x+2y}(6x+2y)[/tex]
f(x) = 1
Now, the integrating factor can be computed as:
[tex]\implies e^{\int fxdx}[/tex]
[tex]\implies e^{\int (1)dx}[/tex]
the integrating factor = [tex]e^x[/tex]
From the given equation:
[tex]y(6x+y +6)dx +(6x +2y)dy=0[/tex]
Let us multiply the above given equation by the integrating factor:
i.e.
[tex](6xy+y^2 +6y)dx +(6x +2y)dy=0[/tex]
[tex](6xe^xy+y^2 +6e^xy)dx +(6xe^x +2e^xy)dy=0[/tex]
[tex]6xe^xydx+6e^xydx+y^2e^xdx +6xe^xdy +2ye^xdy=0[/tex]
By rearrangement:
[tex]6xe^xydx+6e^xydx+6xe^xdy +y^2e^xdx +2ye^xdy=0[/tex]
Let assume that:
[tex]6xe^xydx+6e^xydx+6xe^xdy = d(6xe^xy)[/tex]
and:
[tex]y^2e^xdx +e^x2ydy=d(y^2e^x)[/tex]
Then:
[tex]d(6xe^xy)+d(y^2e^x) = 0[/tex]
[tex]6d (xe^xy) + d(y^2e^x) = 0[/tex]
By integration:
[tex]\mathbf{6xe^xy+y^2e^x = C}[/tex] which implies that C is the integrating factor
Ali sold some cakes at a cake sale.
The cakes are chocolate, lemon or vanilla flavoured.
The cakes are either large or small.
complete the two way table
Answer:
vanilla small= 14
lemon large= 25
Step-by-step explanation:
total= 120
120÷3= 40
each of flavoured cake have 40
lemon= 40 - 26= 14
vanilla= 40- 15= 25
What is the value of k?
Answer:
Step-by-step explanation:
recall that the inside angles of a triangle add up to 180°
and also that the angle 115° is the other part of a 180° total
180=115+y
180-115 =65
then the inside angle at Y is 65°
add the three inside (interior of the triangle) angles up
180= 65 + (4k+5) + (6k+10)
180 = 65 + 10k + 15
180 = 80 + 10k
100 = 10k
10 = k
see how I did that?
Someone tell me where everyone is going right please !!
Answer:
Everyone's action is correct except Luis
luis's equation is wrong because he flipped the inequality sign when he subtracted
true inequality ;
2.4b + 6.5 > -8.1
so Luis wrong
HAVE A NİCE DAY
Step-by-step explanation:
GOOD LUCK :D
greeetings from Turkey ツ
Answer:
(B) Luis's, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Let's evaluate each answer choice:
"Amelia's, because the variable term must be isolated on the left side"
This answer choice is wrong! Whichever side the variable term is isolated on DOESN'T affect the answer of the problem.
"Luis's, because he flipped the inequality sign when he subtracted"
This answer choice is right! Only flip the inequality sign when dividing a NEGATIVE number.
"Shauna's, because she did not apply the subtraction property of equality properly"
This answer choice is wrong! Shauna correctly applied the subtraction proper by subtracting 6.5 from both sides.
"Clarence's, because the terms he added together were not like terms"
This answer choice is wrong! Clarence added 8.1 to both sides, so he added 8.1 to 6.5, which are like terms.
Hope it helps (●'◡'●)
express 26 divide 4 +root3 in form a +b root3 where a and b are integres
Answer:
8 - 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given: [tex]\frac{26}{4 + \sqrt{3} }[/tex]
To express the given question in the form a + b[tex]\sqrt{3}[/tex], we first have to rationalize the denominator of the expression.
Rationalizing the denominator, we have;
[tex]\frac{26}{4 + \sqrt{3} }[/tex] * [tex]\frac{4 - \sqrt{3} }{4 - \sqrt{3} }[/tex] = [tex]\frac{104 -26\sqrt{3} }{16 -4\sqrt{3} + 4\sqrt{3}- 3 }[/tex]
= [tex]\frac{104 - 26\sqrt{3} }{16 - 3}[/tex]
= [tex]\frac{26(4 - \sqrt{3} }{13}[/tex]
= 2(4 - [tex]\sqrt{3}[/tex])
= 8 - 4[tex]\sqrt{3}[/tex]
The required form of the given question is therefore 8 - 4[tex]\sqrt{3}[/tex]