Answer: 3
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex] [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]
A health food company makes its 'Superfood Blend' from whey protein, which costs $10.25 per pound, and powdered spirulina, which costs $22.45 per pound. The blend ends up costing $16.35 per pound. If the company has 140 pounds of the whey protein on hand, how many pounds of the spirulina does it need to get in order to make the blend?
It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.
Used the concept of a system of linear equations that states,
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.
Example; ax + by = 0
Given that,
The cost of protein per pound = [tex]\$10.25[/tex]
The cost of powdered spirulina per pound = [tex]\$22.45[/tex]
And, the blend ends up costing [tex]\$16.35[/tex] per pound.
Let us assume that,
There are x pounds of protein and y pounds of spirulina in the mixture.
Hence, by given conditions the equation is,
[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]
[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]
Combine like terms,
[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]
[tex]6.1 y = 6.1x[/tex]
[tex]y = x[/tex]
Since the company has 140 pounds of whey protein on hand.
So, the amount of spirulina it needs to get in order to make the blend is,
[tex]y = 140\ \text {pounds}[/tex]
Learn more about systems of equations at:
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AN
X =
= [?]
30°
X
B
C
angles are not drawn to scale
Answer:
x=60°
Does the answer help you?
Answer:
x=60°
Step-by-step explanation:
Hi there!
We are given that <ABD and <DBC are complementary angles.
If two angles are complementary, it means that they add up to 90 degrees.
In that case, <ABD + <DBC=90°.
We're also given that m<ABD=30° and m<DBC=x.
Substituting those values into the equation will give us:
30°+x=90°.
Subtract 30° from both sides.
x=60°.
Hope this helps!
What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
You move down 5 units and up 5 units. You end at (1,3). Where did you start?
Answer:
(1, 3)
Step-by-step explanation:
Since up and down are opposites, the point didn't move at all.
I hope this helps!
pls ❤ and mark brainliest pls!
okay can someone pls help me i literally am so confused
2x - y - 4 = 0
3x + y - 9 = 0
What is the solution set of the given system?
A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}
Step-by-step explanation:
+ Both equations
You will get : 5x=13 ; x=13/5
and put x to the first equation
2*13/5-y=4
y=6/5
(13/5;6/5)
Answer is C
Twice a number decreased by 39 is five times the sum of the
number and 2 times the number. Find the number.
Answer: x=-3
Step-by-step explanation:
2(x)-39=5(x+2x)
2x-39=5(3x)
2x-39=15x
-39=13x
-39/13=-3
please help me is for my homework
Answer:
13/50
Step-by-step explanation:
Answer:
26/100
Method:
Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)
find the measure of one exterior angle for the following regular polygon
Answer:
this is a 60 60 60 triangle, so one exterior angle is 120 degrees.
Step-by-step explanation:
hope it helps!
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The triangles have the same shape.
DC. The triangles have the same size.
D. The corresponding angles of the triangles are congruent.
Answer:
the answer is a and ik because I just had the test
Plz help.....I’ll give you brainly
Find the sum or difference. 1 1 34 1-5 a. -122 + 42 b. -0.35 - (-0.25)
Answer:
11341-5=11336
-122+42=-80, when you have different signs always keep in mind that you have to subtract and then get the sign of the big number.
for the third one you firstly have to work with the two negative signs,you have to multiply them, take note that when you multiply a negative by a negative you get a positive, a positive by a positive you get a positive and a negative by a positive you get a negative.
-0.35-(-0.25)
-0.35+0.25
=-0.1
I hope this helps
which one is the right graph
Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.
look at image above question and answers
Answer:
Step-by-step explanation:
Let's try all of them one by one.
Our equation is 4x + 2y + 3 = 19.
A:
20 + 6 + 3 = 19
Not quite!
B:
16 + 10 + 3 = 19
Still not it!
C:
12 + 4 + 3 = 19
We got it!
But still, we check D.
8 + 10 + 3 = 21
Nope.
C (or the 3rd option) is our answer.
I hope this helped.
What is the simplified form of V 100x35 ?
Answer:
answer is 3500.
answer is 3500
answer is 3500
PLS HELP ME ON THIS QUESGTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range
Answer:
D. Range
Step-by-step explanation:
The definition of range is as the question says, and we can also use the process of elimination to make sure it's not the others.
A mean is the average of a data set.
A mode is the item that appears the most times.
And a median is the middle number.
As you can see, A, B, C all don't fit the given statement in the question, so it is D. Range.
I hope this helped! :D
plot -½ on the number line
Answer:
this would be towards the front and the very end
(I will give brainliest!)
Solve for x using the distributive property
7(x-2)-3(x+3)=5(x-3)+x
Answer:
Step-by-step explanation:
7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis
7x -14 -3x -9 = 5x -15 +x , isolate like terms
7x -3x -5x -x = 14 +9 -15, combine like terms
-2x = 8, divide both sides by -2
x= -4
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
a boy rode his bike at an average speed of 11 kilometers per hour . how much far did he ride in four hours
Step-by-step explanation:
The answer is mentioned above.
Hope it helps.
Find the midpoint of AC.
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
Choose the correct simplification of the expression −5x2(4x − 6x2 − 3)
Answer:
- 190
Step-by-step explanation:
-10x (4x - 12 - 3)
-40x - 120x - 30x
- 190
Answer:
-20x³ + 30x^4 + 15x²
Step-by-step explanation:
−5x²(4x − 6x² − 3)
-20x³ + 30x^4 + 15x²
Select the correct answer.
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
Answer:
C
Step-by-step explanation:
Given
10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides
30x + 20 > 14x - 28 ( subtract 14x from both sides )
16x + 20 > - 28 ( subtract 20 from both sides )
16x > - 48 ( divide both sides by 16 )
x > - 3 → C
Geometry, please answer question ASAP
Answer:
C.
Step-by-step explanation:
A concave polygon must have atleast an internal angle which is greater than other angles.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
618 000 in standard form
6.18000 x 10 5
This is the standard form of 618,000
Thanks , Please mark me brainliest
TyrantMC
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
Write in standard form using integers. (ASAP help)
Is it a, b, c or d?
Answer: D
Step-by-step explanation:
To get rid of denominator in x, multiply everything by 3
3y=2x+21
Move the variables to the left
-2x+3y=21
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenth
place.
HELP PLEASE!!!!!!
Answer:
Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7
I hope I helped you^_^
what is the formula to get combined mean value
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
ASAP!! can i get some help on this question, and a step by step explanation please, it would help
a lot thanks.
Answer:
[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]
Simplify this please
Answer:
4Step-by-step explanation:
[tex] \sqrt[3]{64} [/tex]
[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]
= 4 (Ans)
Answer:
Step-by-step explanation: