Answer:
x > 3
Step-by-step explanation:
-7x < -21
Divide each side by -7, remembering to flip the inequality
-7x/-7 > -21/-7
x > 3
Answer:
x > 3
Step-by-step explanation:
Get the variable (x) by itself. Divide both sides by -7. Since a negative/ negative = positive, the 3 is positive. When you multiply or divide by a negative, the inequality sign flips. I hope this helped.
04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
Find the unit rate. Round your answer to the nearest hundredth.
3500 calories for 6 servings of pie
pls help−4(3/2x−1/2)=−15
Answer:
17/6
Step-by-step explanation:
what you do first is open up the brackets..
so
-4 x 3/2x and -4 x -1/2
you then multiply these
-12/2x and 4/2
-6x and 2
(-6x+2) = -15
solve for x
-6x=-15 -2
-6x=-17
x=17/6
crossing out the negatives !
Write the equation of the quadratic function whose graph passes through [tex](-3,2)[/tex], [tex](-1,0)[/tex], and [tex](1,6)[/tex].
Answer:
[tex]f(x)=x^2+3x+2[/tex]
Step-by-step explanation:
We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).
Remember that the standard quadratic function is given by:
[tex]f(x)=ax^2+bx+c[/tex]
Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:
[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]
Simplify:
[tex]2=9a-3b+c[/tex]
Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:
[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]
And for (1, 6):
[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]
So, we have a triple system of equations:
[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]
We can solve this using elimination.
Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:
[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]
Compute:
[tex]6=2a+2c[/tex]
Let's divide both sides by 2:
[tex]3=a+c[/tex]
Now, let's eliminate b again but we will use Equation 1 and 2.
Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:
[tex]-3(0)=-3(a-b+c)[/tex]
Multiply:
[tex]0=-3a+3b-3c[/tex]
Add this to Equation 1:
[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]
Compute:
[tex]2=6a-2c[/tex]
Again, we can divide both sides by 2:
[tex]1=3a-c[/tex]
So, we know have two equations with only two variables:
[tex]3=a+c\text{ and } 1=3a-c[/tex]
We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:
[tex](3+1)=(a+3a)+(c-c)[/tex]
Compute:
[tex]4=4a[/tex]
Solve for a:
[tex]a=1[/tex]
So, the value of a is 1.
Using either of the two equations, we can now find c. Let's use the first one. Hence:
[tex]3=a+c[/tex]
Substitute 1 for a and solve for c:
[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]
So, the value of c is 2.
Finally, using any of the three original equations, solve for b:
We can use Equation 3. Hence:
[tex]6=a+b+c[/tex]
Substitute in known values and solve for b:
[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]
Therefore, a=1, b=3, and c=2.
Hence, our quadratic function is:
[tex]f(x)=x^2+3x+2[/tex]
Select all the lines in the proof of △ABC≅△CDA that have the correct justification. AB || CD and BC || AD, ASA Triangle Congruence Theorem ∠BAC≅∠DCA, Alternate Interior Angles Theorem △ABC≅△CDA, SAS Triangle Congruence Theorem ∠ACB≅∠CAD, Alternate Interior Angles Theorem AC≅AC, Reflexive Property of Congruence
Answer:
AB and MN
∠B and ∠N
CB and LN
Step-by-step explanation:
edg
Parker is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=175p+400 can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
9514 1404 393
Answer:
400; building and equipment fixed cost
Step-by-step explanation:
The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.
The y-intercept is 400. It is the daily fixed cost of the building and equipment.
Answer:
The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.
Step-by-step explanation:
Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.
Have a good day :)
Anthony says that the expression abc has three terms because it uses three different variables. Critique Anthony's reasoning and explain whether he is correct.
Answer:
Anthony's reasoning is incorrect
Step-by-step explanation:
The expression abc is not made up of three terms because it is just an entity. For the expression to be called a three term expression, each of the variables must be separated using mathematical signs. For example, the expression a + b + c can be referred to as three terms because each variables are separated by a plus sign. In this case they are different entity.
From the above explanation, we can conclude that Anthon's reasoning is incorrect. The expression abc is just one term not three terms.
20 POINTS!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
9514 1404 393
Answer:
8x +96 yd
Step-by-step explanation:
The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.
The overall length is the sum of the two horizontal segments at top:
(x -2) +(3x) = 4x -2
The overall height is the sum of the right-side vertical segments:
10 + 40 = 50
Then the perimeter is ...
P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96
The perimeter is 8x +96 yards.
Fraction 3•5 • fraction 4•9 =
Answer:
Step-by-step explanation:
3.5×4.9
=35/10×49/10
=1715/100
Or 17.15 answer
Answer:
Step-by-step explanation:
3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15
how do you find the value of √a⁴ ??
(ill give brainliest)
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
√a^4 is the same as:
√a × √a × √a × √a
group them as 2 pairs of
(√a × √a) × (√a × √a)
which makes
a × a
which is the same as [tex]a^{2}[/tex]
Trisha uses 3 cups of sugar for every 4 cups of flour to make a batch of cookies. Which equation could be used to solve x, the number of cups of flour needed for 9 cups of sugar.
Answer: The number of cups of flour needed for 9 cups of sugar = 12.
Step-by-step explanation:
Equation of direct proportion between two quantities x and y :
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Let x= the number of cups of flour needed for 9 cups of sugar.
Put [tex]x_1=4,\ y_1=3,\ y_2=9, x_2=x[/tex]
[tex]\dfrac{4}{3}=\dfrac{x}{9}\\\\\Rightarrow\ x=\dfrac{9\times4}{3}\\\\\Rightarrow\ x=12[/tex]
Hence, the number of cups of flour needed for 9 cups of sugar = 12.
4(c + 3) = t
solve for c
Answer:
c=1/4t-3
Step-by-step explanation:
Martha compra 2 kilos de tomate y 1 kilo de cebolla pagando S/ 8,40. Si la siguiente semana compra 1 kilo de tomate y 2 kilos de cebolla pagando S/ 7,80, ¿a cuánto está el kilo de cebolla?
Responder:
2,40
Explicación paso a paso:
Dado que:
Dejar :
Tomate = t
Cebolla = n
(2 kilo de t) + (1 kilo de n) = 8.40
(1 kilo de t) + (2 kilo de n) = 7.80
2t + n = 8,40 - - (1)
t + 2n = 7,80 - - (2)
De (2);
t = 7,80 - 2n
Ponga t = 7.80 - 2n en (1)
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2 (2,40)
t = 7,80 - 4,80
t = 3
Por lo tanto, el costo de 1 kilo de cebolla es 2,40
John is twice as old as Mary. The sum of their ages is 21. How old is Mary?
Let J = John's age and M = Mary's age. Select the system equations that represents the problem.
J - 2M = 0
J = M + 2
M - 2J = 0
J + M = 21
Answer:
Mary is 7
Step-by-step explanation:
If their ages combined equals 21 and john is twice Mary’s age then johns age takes up 2/3 of 21. that would b 14. 14 is 2 x 7. and Mary is 7. 14+7=21. Mary is 7 years old
Correct answers are:
J + M = 21
J - 2M = 0
2³ =
what does it equal?
Answer:
8
Step-by-step explanation:
2 x 2 = 4
4 x 2 = 8
Answer:
8
Step-by-step explanation:
2^3 is the same as 2x2x2 (x is times)
Two bags of bird seed are used to fill these three bird feeders. How much bird seed does each feeder use? Represent the situation using the model. Then solve
Step-by-step explanation:
If two bags of bird seed are used to fill these three bird feeders, then we can say that;
2 bags of bird seed = 3 bird feeders
To know the amount of bird seed that each feeder use, we will say;
x bags of bird seed = 1 bird feeder
Equating both postulates and solving
2 bags of bird seed = 3 bird feeders
x bags of bird seed = 1 bird feeder
Cross multiply
3 * x = 2 * 1
3x = 2
subtract 2 from both sides
3x - 2 = 2-2
3x - 2 = 0
Hence model that represents the situation us 3x - 2 = 0 where x is the number of bird seed that each feeder use.
Next is to solve for x;
3x - 2 = 0
3x = 2
x = 2/3
Hence each feeder used 2/3 bird seed
Which scenario below represents 85%?
Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.
Answer:
a = 4√5Step-by-step explanation:
Given
Trapezoid XYWZAs given, sides XW and YZ are parallel and XY = WZ
Since it is isosceles, angles X and W are of same size
Therefore:
a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5At a winter concert, the ratio of the number of boys to the number of girls is 3:8. if there are 250 more girls than boys, how many
boys are at the concert?
Answer:
150
Step-by-step explanation:
if 3:8 , that means the difference is 5. the difference is 250, so 250/5 =50.
then u multiply 3 by 50 and get 150. ur welcome man
CAN SOMEONE HELP THIS IS DUE
Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?
Answer:
His time in mph is 16.1 mph
Solve 4q = 52
Q=
Which statement shows the correct justification for the step used to solve the equation
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]4q = 52[/tex]
Divide sides by 4
[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]
Simplification
[tex]q = 13[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I need help because I was debating if it’s is 5 or 6
Answer:
it should be 5.5
Step-by-step explanation:
cross multiply and solve as an equation
what is the volume of a cylinder with radius 10cm and height 10cm?
Answer:
about 3141.59 cm^3
Step-by-step explanation:
V of cylinder = (pi)(r^2)(h)
radius = 10 cm
height = 10 cm
V = pi x 10^2 x 10
V = 3141.59 cm cubed
This is really confusing i need help if you get this right i will give you brainliest
Okie B or D
Maybe C
OK ok ok ok ok ignore that it's probably B? orC
okie nevermind there's lots of bullies and no one even know's I'm autistic people, okie baiiiii
Answer: I don't think the answer is B. -3/5+(-2/8)-4=-5 because B. -3/5+(-2/8)-4 A. (-40)+(-30)+28=-42, C. 130+70+(-37)=163, D. 40+(-58)+160=142. I think A. (-40)+(-30)+28=-42
8. Could an angle be complementary to itself? If, so what would it’s measure be?
9. Could an angle be supplementary to itself? If so, what would its measure be?
Answer:
8) angle that is complement of itself is 45°
9) When an angle is its own supplement, that means that the angle, plus itself, will equal 180 degrees.
Step-by-step explanation:
In the equation 0.5x-8=1.5 the decimal coefficient is
Answer:-9.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
The coefficient is the number that multiply the variable, in this case x.
PLEASE HEEEEELLLPPPPP ILL GIIVE YOU BRAINLIEST
Answer:
your answer will be c
and distributive property for the second one
Step-by-step explanation:
(picture)
for each number on the left,place a check mark under the numbers it is divisible by.
45- 3, 5, 9
369- 3, 9
7870- 2, 5, 10
1976- 2, 4,
6003- 3, 9
136- 2, 3, 4
1674- 2, 3, 6, 9
35496- 2, 3, 4, 6, 9
what is the y-intercept of this table? i dont understand it please help thank you.
Answer:
-0.4
Step-by-step explanation:
you just take 2 of them to find it
In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars
Answer:
7/8
Step-by-step explanation:
In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars?
To solve the above, we add all the fractions together.
= Incisors + Premolars + Molars
= 3/8 + 1/4 + 1/4
Least Common Denominator = 8
= (3 × 1 + 2× 1 + 2 × 1)/8
= 3 + 2 + 2/8
= 7/8
Hence, the fraction of all the teeth are incisors, premolars, and molars is 7/8