Answer:
y=-5x-4
Step-by-step explanation:
y=mx+b
-5=-5m+b
-5=-1+b
b=-4
y=-5x-4
:D
Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (negative 1 + 3 x) 4(1 + 3x)
Answer:
1/4(1 - 3x)
Step-by-step explanation:
Step 1: Write out expression
1/4 - 3/4x
Step 2: Factor out GCF
1/4(1 - 3x)
Answer:
B. 1/4(1-3x)
Step-by-step explanation:
The following quadrilateral is a parallelogram.
J
M
115°
?
K
L
The measure of angle Lis — degrees.
Answer:
65
Step-by-step explanation:
Angle M and angle L are supplementary angles, so they add up to 180°.
180 - 115
= 65
The measure of angle L is 65 degrees.
If ε= {x: x is an integer such that 1
2 < x < 12,
4 < x < 21,
-1 < x < 9
0 < x < 8
x<6
From above: 4 < x < 6 --> x = 5.
Answer: B.
Each side of a regular pentagon is m + 10 inches. The formula for finding the perimeter of the pentagon is shown below. P = 5 (m +10) Which equation shows this formula solved for m? A. M = P − 5 / 10 B. M = 5P − 50 C. M = P − 50 / 5 D. M = P/5 − 50
Answer:
m = p/5 -10
m= (p-50)/5
Step-by-step explanation:
What we practically want to here is to make m the subject of the formula.
Start by opening the brackets
P = 5m + 50
P-50 = 5m
Divide through by 5
(P-50)/5 = m
P/5 -50/5 = m
P/5 -10 = m
The option that looks probable is C ; M = (P-50)/5
Answer:
D.) m=P−505
Step-by-step explanation:
If you use exactly eight cups of cauliflower to make 6 veggie burritos and if you continue to make burritos using the same recipe how many burritos can he make with 12 cups of cauliflower
Answer:
9 burritos
Step-by-step explanation:
We can use ratios to solve
8 cups 12 cups
---------- = -----------------
6 burritos x burritos
Using cross products
8x = 6*12
8x = 72
Divide by 8
8x/8 =72/8
x = 9
9 burritos
for how many values of k will x² + kx + 12 factor?
Answer:
6
Step-by-step explanation:
We want to factor the trinomial into a product of binomials. In general, we have ...
(x +a)(x +b) = x² +(a+b)x +ab
So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:
12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)
The values of k are the sums of these factors of 12, so are
1+12 = 13
2+6 = 8
3+4 = 7
-1-12 = -13
-2-6 = -8
-3-4 = -7
There are 6 possible integer values of k that will make the trinomial factorable in integers:
k ∈ {-13, -8, -7, 7, 8, 13}
Raven earns extra money when her neighbors are on vacation. Raven is paid $12 per day when she cares for the Martin family's cat. She paid $5.50 per day when she waters the Clark Family's pants.Write and simplify an expression to represent how much Raven earns if she performs both jobs for n days. Explain what the simplified expression means.
Answer:
12n + 5.50
Step-by-step explanation:
Since 12 represents how much money she gets paid from the Martin's family: the 'n' is the variable which stands for each day because we don't kknow how many days she watches the cat but when we multiply the 12 by the 'n', we get the days. We add an additional 5.50 because she has a side job as well with the Clark's family. which is how you get 12n+5.50
You wish to make a snack mixes from peanuts and almonds to sell in your health-food store. Mix A is half peanuts and half almonds. Mix B is one fourth peanuts and three-fourths almonds. If you have 15 pounds of peanuts and 20 pounds of almonds, how many pounds of each mix should you make to exactly use all of your ingredients?
Answer:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:
[tex]0.5A+0.25B=15[/tex]
Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:
[tex]0.5A+0.75B=20[/tex]
Solving the linear system:
[tex]0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds[/tex]
In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B
The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r
Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
Subtracting Fractions
13 minus 12/40 equals
Answer:
12 7/10
Step-by-step explanation:
13 - 12/40
Simplify the fraction
13 - 3/10
Borrow 1 from 13 in the form of 10/10
12 + 10/10 - 3/10
12 7/10
Kaitlin paid $16.60 for 33.2 centimeters of wire.
Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.
Answer:
Step-by-step explanation:
$0.50 per centimeters i think
please help me out here :’(
Answer:
Step-by-step explanation:
We are going to use the areas given to find the lengths of the sides of each of their respective squares. For the purple square, the area is 35 units squared. Because the formula for the area is A = s * s, then we can fill in the value for the area and solve for s, the side length, of the purple square.
[tex]35=s^2[/tex] and
[tex]s=\sqrt{35}[/tex]. That side length also serves as the height of the right triangle. Now on to the blue square on the bottom. It has an area of 50 units squared, so
[tex]50=s^2[/tex] and
[tex]s=\sqrt{50}[/tex]. We could feasibly simplify that, but it's not necessary, really. That side serves as the base of the right triangle. Now we can use Pythagorean's Theorem to find the length of the hypotenuse of the right triangle, which also serves as the side of the big blue square. We will call the side of the big blue square x.
[tex]x^2=(\sqrt{35})^2+(\sqrt{50})^2[/tex] and
[tex]x^2=35+50[/tex] and
[tex]x^2=85[/tex] and
[tex]x=\sqrt{85}[/tex]. That is the side length of the large blue square. The area for the square is s * s, and since we know the side length to be √85:
[tex]A=(\sqrt{85})(\sqrt{85})[/tex] so
A = 85 units squared
porfavor alguien que me ayude con la siguiente operación,
(1/3√3 ×5/4√3) +7/4
Answer:
17/6
Step-by-step explanation:
El único problema aquí es conocer las operaciones con el surd por favor note que;
√a * √a = a Así;
√3 * √3 = 3
Entonces, la otra cosa a tener en cuenta es el orden de las ecuaciones.
Resolvemos los corchetes antes de proceder con cualquier otra cosa.
1 / 3√3 * 5 / 4√3 = 5/12 (3) = 5/36
Es esto lo que agregamos a 7/4
5/36 + 7/4 = (5 + 63) / 36 = 68/36 = 17/6
I am very confused in this question. Please Help!!!
Answer:
32
Step-by-step explanation:
A : B : C: total
2 3 4 2+3+4 = 9
Take the number of rolls received 72 and divide by 9
72/9 = 8
Multiply each number by 8
A : B : C : total
2*8 3*8 4*8 9*8
16 24 32 72
C received 32 rolls
Apply the square root principle to solve (x - 2)2 + 20 = 0.
OA) x = 2 + 2115 , X = 2 - 2015
OB) x = 2 + 215 , X = 2 - 215
OC) x = -2 + 2i15, x = -2 - 2115
OD) x = -2 + 215,= -2 - 2 15
Tom used twenty gallons of water to
water his plants for x days. After x
days, he used an additional forty
gallons of water for a day on his pants.
Write an expression that shows how
the total gallons of water Tom used on
his plants.
Answer:
y=20x + 40x
Step-by-step explanation:
Answer:
y=20x+40
Step-by-step explanation:
y represents how many gallons of water he used
x represents the amount of days
(example) if he watered his plants for 2 days:
y=20(2)+40
y=40+40
y=80
if he watered his plants for 2 days he would have used 80 gallons of water.
if this helped please rate, thanks, and mark brainliest :)
HELP ASAP!
convert to slope-intercept form with steps please :)
6x > 2y = 5
Answer:
y < 3x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
6x > 2y - 5
Adding 5 to both sides
=> 6x + 5 > 2y
=> 2y < 6x+5
Dividing both sides by 2
=> y < [tex]\frac{6x+5}{2}[/tex]
=> y < [tex]\frac{6x}{2} + \frac{5}{2}[/tex]
=> y < 3x + [tex]\frac{5}{2}[/tex]
This is the required slope intercept form in the form [tex]y = mx+b[/tex]
The arithmetic sequences 1, 5, 9, 13,... and 1, 8, 15, 22,... have infinitely many terms in common. Calculate the sum of the first three common terms.
Answer:
87
Step-by-step explanation:
Sequence 1 has common difference of 4 and sequence 2 has 7
The first terms are common
We need a new sequence with common difference of:
LCM(4,7)= 4*7=28So the next common term is 1+28= 29 and the following one is 29+28= 57
Sum of 3 terms:
1+29+57= 87Answer:
87
Step-by-step explanation:
The first sequence:
1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...
The second sequence:
1, 8, 15, 22, 29, 36, 43, 50, 57, 63...
The first three common terms are 1, 29, 57.
The sum of the first three common terms:
1 + 29 + 57
= 87
Q3. A student plans a method to prepare pure crystals of copper sulfate.
The student's method is
1. Add one spatula of calcium carbonate to dilute hydrochloric acid in a beaker.
2. When the fizzing stops, heat the solution with a bunsen burner until all the liquid is gone.
The method contains several errors and does not produce copper sulfate crystals.
5
Explain the improvements the student should make to the method so that pure crystals of
copper sulfate are produced. (6) * S
Answer:
1) The student didn't add copper sulfate but instead he added calcium carbonate.
2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.
3) He should use copper carbonate not calcium carbonate.
4) Sulfuric acid was added instead of hydrochloric acid.
5) Add solid excessively so that all of the acid is retained.
6) Filter the solution to remove unreacted solid.
7) Heat gently, so the crystals will start to appear.
The reactants in this reaction ought to have been copper carbonate and sulfuric acid.
The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;
The student should use copper carbonate instead of calcium carbonate The student should use sulfuric acid instead of hydrochloric acid.If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3(s) + H2SO(aq) → CuSO4(aq) + CO2(g) + H2O(l).
Learn more: https://brainly.com/question/731147
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
A. 1/6
B. 5/6
C. 25/36
D. 10
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form
with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus
[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]
Substitute this value into y
y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]
= [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]
Since a > 1 then the vertex is a minimum, thus
minimum value = [tex]\frac{1}{6}[/tex] → A
which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.
As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
In circle A, angle BAE is congruent to angle DAE.
What is the length of BE?
You need to give us answer choices.
However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.
The length of BE could possibly be 27 units.
- I hope this helps. Next time, please use the search feature :)))
18 dogs are in a dog show the number of dogs in the show. The number of dogs in the show was 6 times the number of handlers how many handlers are in the show
Answer:
H = 3 handlers
There are 3 handlers in the show.
Step-by-step explanation:
Given;
Number of dogs in the show N = 18 dogs
Number of handler in the show H;
The number of dogs in the show was 6 times the number of handlers
N = 6H
H = N/6
Substituting the value of N;
H = 18/6
H = 3
There are 3 handlers in the show.
Answer:
H = 3 handlers
Step-by-step explanation:
In terms of x? pls solve and show your work! Will give u brainliest!
Answer:
[tex] \sqrt{ {x}^{2} - 1 } [/tex]
Solution,
base=1
perpendicular=?
hypotenuse=X
now,
using Pythagoras theorem,
x^2=p^2+b^2
or, x^2=p^2+1^2
or,p^2=x^2-1
or, p=√x^2-1
tan theta=perpendicular/ base
tan theta =√x^2-1/1
tan theta=√x^2-1
z=tan theta
z=√x^2-1
Hope this helps...
Good luck on your assignment..
Answer:
[tex]\sqrt{x^{2}-1}}[/tex].
Step-by-step explanation:
The tangent of theta means that you are trying to find opposite over adjacent.
You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.
The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].
When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]
That is [tex]\sqrt{x^{2}-1}}[/tex].
So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].
Hope this helps!
What is the value of f(4), if f(x) = x2 + 9x + 8?
y=(x+9)÷(x-3)
Find the value of y when x=5
Answer:
7
Step-by-step explanation:
Simply plug in 5 for x
y = (5 + 9)/(5 - 3)
y = 14/2
y = 7
Answer:
y=(5+9)÷(5-3)
y =14÷2
y=7
Triangles ABC and CDE are mathematically similar.
a) Work out the length of DE.
b) Work out the length of AB.
Answer:
Step-by-step explanation:
The trick here is to notice that :
[tex]\frac{AB}{DC}[/tex]=[tex]\frac{BC}{DE}[/tex]=[tex]\frac{AC}{CE}[/tex]Now let's replace by the values we khow :
[tex]\frac{AB}{18}[/tex]=[tex]\frac{8}{24}[/tex]=[tex]\frac{5}{DE}[/tex] 8/24 is 1/3 to make it simple Now AB= 18*(1/3)=6 AND DE= 5*(3/1)=15So AB=6 cm and DE=15 cm
From the given information in the diagram
a) The length of DE is 15cm and
b) The length of AB is 6cm
From the question,
Triangles ABC and CDE are mathematically similar.
a) To determine the length of DE
Since ΔABC is similar to ΔCDE
By similar triangles theorem, we can write that
[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]
From the diagram
/BC/ = 5cm
/CA/ = 8cm
/EC/ = 24 cm
/DE/ = ?
Putting these values into
[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]
We get
[tex]\frac{5}{/DE/}=\frac{8}{24}[/tex]
∴ [tex]8 \times /DE/ = 5 \times 24[/tex]
Now, divide both sides by 8
[tex]\frac{8 \times /DE/}{8}= \frac{5 \times 24}{8}[/tex]
[tex]/DE/ = \frac{120}{8}[/tex]
/DE/ = 15cm
b) To work out the length of AB
Also, by similar triangles theorem, we can write that
[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]
From the diagram
/AB/ = ?
/CD/ = 18cm
/CA/ = 8cm
/EC/ = 24 cm
Putting these values into
[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]
We get
[tex]\frac{/AB/}{18}=\frac{8}{24}[/tex]
Now, multiply both sides by 18, that is
[tex]18 \times \frac{/AB/}{18}=\frac{8}{24} \times 18[/tex]
[tex]/AB/ = \frac{144}{24}[/tex]
/AB/ = 6cm
Hence,
a) The length of DE is 15cm and
b) The length of AB is 6cm
Learn more here: https://brainly.com/question/14106654
Calculate: 1/1×3 + 1/3×5 + ... + 1/47×49 .
Answer: 1/1x3+1/3x5 = 14/3 or 4 2/3
Step-by-step explanation:
And please, next time give the problem fully.
A bakery used 6.25 cups of flour this morning to make 5 batches of cookies. How much flour went into each batch of cookies?
Answer: 1.25 cups of flour each
Step-by-step explanation:
6.25 cups is for 5 batches of cookies. To find how much flour goes into each batch, divide 6.25 by 5.
6.25 / 5 = 1.25
Answer:
1.3 cups
Step-by-step explanation:
If 6.25 cups were used for 5 batches, then 1 batch will be 6.25 divided by 5 = 1.3 cups
Hope this helps
if anyone can help thank you sm
Answer:
D.
Step-by-step explanation:
= 14x + 10 is great than or equal to 9x + 15
= 14x is greater than or equal to 9x + 5
= 5x is greater than or equal to 5
= x is greater than or equal to 1