I think the answer would be 6?
What is the domain of the function y = 8x + 3/4
a) All real numbers
b) All real numbers except x = 4
c) All real numbers except x = -3/8
d) All real numbers except x = 3/8
[tex]y=\dfrac{8x+3}{4}=\dfrac{8x}{4}+\dfrac{3}{4}=2x+\dfrac{3}{4}[/tex]
It's a linear function y = mx + b. The domain of linear function is the set of all real numbers.
We have no objections to the value of x. x can be any number.
Therefore your answer is:
a) All real numbers.
Which ordered pair (m, n) is a solution to the given system of linear equations?
6m-5n= 14
2m+2n= -10
a) (-4,-1)
b) (-31/11,-24/110
c) (-1,-4)
d) (11,-16)
ANSWER: NOT B
Answer:
Option C
Step-by-step explanation:
given two equations
6m-5n= 14 ... i
2m+2n= -10 ...ii
We can solve this by elimination.
For elimination consider the coefficients of m.
They are 6 and 2, with LCD 6
You multiply 2nd equation by 3 to have
6m+6n =-30 ... iii and
6m-5n = 14 ... i
Subtract i from iii
11n = -44
Divide by 11 to get n
n = -4
Substitute in I equation
6m-5(-4) =14
6m +20 = 14
subtract 20
6m =14-20 =-6
divide by 6
m =-1
Hence answer is m=-1 and n=-4
(-1,-4)
Option C is the answer.
At the end of the summer, Caitlin had saved $120 from her summer job. This was her initial deposit into a new savings account at the bank. As the school year starts, Caitlin is going to deposit another $5 each week from her allowance. Is her account balance proportional to the number of weeks of deposits? Explain your reasoning.
Let X be the number of weeks she deposits money.
The equation to solve for the account balance would be 120 + 5x ( She started with 120 dollars and is adding 5 dollars per week)
week 1: balance = 120 +5(1) = $125
week 2: balance = 120 +5(2) = $130
week 3: balance = 120 + 5(3) = $135
week 4: balance = 120 +5(4) = $140
Now to see if it proportional divide each total by the number of weeks:
week 1: 125 / 1 = 125
week 2: 130 / 2 = 65
week 3: 135 / 3 = 45
week 4: 140 / 4 = 35
Find the difference between the weeks:
Week 1 & 2 : 125 - 65 = 60
Week 2 & 3: 65 -45 - 20
Week 3 & 4: 45 -35 = 10
Since the 3 differences are not the same, the balance is not proportional to the number of weeks.
Which of the following angles is an angle of depression?
we know that
The Angle of Depression. is the angle below the horizontal that an observer must look to see an object that is lower than the observer
in this problem
the angle below the horizontal is the angle C
therefore
the answer is
The angle of depression is the angle C
Erika is ordering cupcakes for a party one cupcake costs $3 there will be 20 guests at the party and she wants each guest to get one cupcake how much will she spend on cupcakes
Erika will spend $60 on cupcakes for the 20 guests at her party by purchasing one $3 cupcake for each guest.
To calculate how much Erika will spend on cupcakes for the party, we need to multiply the number of guests by the cost of each cupcake. Each guest will get one cupcake, and since there are 20 guests, we need 20 cupcakes. The cost of one cupcake is $3.
To find the total cost, we perform the following calculation:
Total cost = Number of cupcakes x Cost per cupcakeTotal cost = 20 x $3Total cost = $60Therefore, Erika will spend $60 on cupcakes for the party.
Help plsss!!
Solve the inequality
8(1/2x - 1/4)> 12 - 2x
a.x > 7
b.x > 7/3
c.x > 5/3
d.x > 5/3
The solution to the inequality 8(1/2x - 1/4) > 12 - 2x is x > 7/3.
Explanation:To solve the given inequality 8(1/2x - 1/4) > 12 - 2x, first you should distribute the 8 to both terms in the parentheses. This gives you 4x - 2 > 12 - 2x. Next, we need to group like terms, so let's add 2x to both sides of the inequality to obtain 6x - 2 > 12. Afterwards, add 2 to both sides, resulting in 6x > 14. Finally, divide each side by 6 to isolate x, which gives x > 7/3. So, the solution is x > 7/3.
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please help asap 23 pts
Solve for r by simplifying both sides of the equation, then isolating the variable.
Your answer is A.
5. Find the value of x. The diagram is not to scale. Lines F and G are parallel.
X=11 because
5x+9x+26=180
14x+26=180
14x=154
x=11
Answer: The required value of x is 11.
Step-by-step explanation: Given that the lines f and g are parallel to each other.
We are to find the value of x.
From the figure, we note that the parallel lines f and g are cut by a transversal, and
angles with measures 5x° and (9x+26)° are interior angles on the same side of the transversal.
We know that, if two lines are parallel, then the measures of the angles on the same side of the transversal is 180°.
Therefore, we get
[tex]5x^\circ+(9x+26)^\circ=180^\circ\\\\\Rightarrow 5x+9x+26=18\\\\\Rightarrow 14x=180-26\\\\\Rightarrow 14x=154\\\\\Rightarrow x=\dfrac{154}{14}\\\\\Rightarrow x=11.[/tex]
Thus, the required value of x is 11.
Use the probability distribution graph to answer the question.
P(X≥a)=0.5
What is the value of a?
Answer:
a is the middle point on x-axis = 3
Step-by-step explanation:
On probability distribution graph, P(x≥a) means area under the curve from x=a to x=6.
On a probability distribution graph, the entire area under curve =1
But we are given that P(X≥a) is 0.5 which is half of 1.
And we are given with a normal distribution graph which has center at x=3.
Hence half of the area means area from x=3 to x=6 which is nothing but P(X≥3).
Therefore a is 3.
We can also check it by finding area under curve from x=3 to x=6.
Area under curve from x=3 to x=6 can spitted into a rectangle and a triangle.
Rectangle area = (5-3)X0.2=0.4
Triangle area=[tex]\frac{1}{2}X0.2X1=0.1[/tex]
Hence total area from x=3 to x=6 is 0.4+0.1=0.5
Ishi makes $8.50 an hour rolling sushi at kyoto japanese restaraunt his paycheck shows that he worked 20.88 hours over the past two weeks how muck did ishi earn
Mark bought 12 cookies for $2.70 at this rate how much would it cost him to buy 20 cookies
For Mark to buy 20 cookies, it'll cost him about $4.40
The cost of 20 cookies if 12 cookies cost $2.70 is $4.50.
How much would it cost him to buy 20 cookies?12 cookies cost $2.70
Then,
20 cookies cost $x
Set up the ratio
12 : 2.70 = 20 : x
12/2.70 = 20/x
cross product
12 × x = 2.70 × 20
12x = 54
Divide both sides by 12
x = 54/12
x = $4.50
Therefore, 20 cookies cost $4.50
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please help on this one?
Random cell phone calls sent out to a sample size of 850 people is what type of sampling method? (I.e. simple random, etc.)?
Answer: Simple Random Sampling (SRS)
The people chosen are basically picked out of a hat at random, though likely they are chosen by a computer.
Answer:
Random cell phone calls sent out to a sample size of 850 people would typically be considered a form of random sampling. However, the specific type of random sampling can vary. It could be simple random sampling if each person in the population has an equal chance of being called, and the selection is done entirely by chance, such as using a random number generator to select phone numbers.
Alternatively, it could be stratified random sampling if the population is divided into different groups or strata (e.g., age groups, geographic regions), and then random samples are taken from each stratum in proportion to its size.
The exact method used depends on the sampling strategy and goals of the study, but as long as the selection of individuals is based on randomness and each person has an equal chance of being included, it falls under the broad category of random sampling.
Step-by-step explanation:
Is .98 less than greater than or equal to .980
Answer:
iit =
Step-by-step explanation:
If 200 gems cost $5, how much is each gem?
WILL GIVE BRAINLIEST
Solve x2 + 4x − 4 = 0.
x equals the quantity of negative 2 plus or minus square root 16 all over 2
x equals negative 4 plus or minus square root 2
x equals negative 2 plus or minus 2 square root 2
x equals the quantity of 4 plus or minus square root 18 all over 2
ANSWER
[tex]x=-2\pm 2\sqrt{2}[/tex]
EXPLANATION
Given:
[tex]x^2+4x-4=0[/tex]
We complete the square as follows;
Add 4 to both sides of the equation:
[tex]x^2+4x=4[/tex]
Add half the coefficient of [tex]x[/tex] to both sides of the equation.
[tex]x^2+4x+(2)^2=4+(2)^2[/tex]
The Left Hand Side of the equation is now a perfect square.
[tex](x+2)^2=4+4[/tex]
[tex](x+2)^2=8[/tex]
Take the square root of both sides
[tex]x+2=\pm \sqrt{8}[/tex]
[tex]x=-2\pm 2\sqrt{2}[/tex]
Hence the correct answer is option C
Given equation is [tex]x^2+4x-4=0[/tex]
compare with [tex]ax^2+bx+c=0[/tex]
we get: a=1, b=4, c=-4
plug these values into quadratic formula:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-4 \pm \sqrt{4^2-4(1)(-4)}}{2(1)}[/tex]
[tex]x=\frac{-4 \pm \sqrt{16-4(-4)}}{2}[/tex]
[tex]x=\frac{-4 \pm \sqrt{16+16}}{2}[/tex]
[tex]x=\frac{-4 \pm \sqrt{32}}{2}[/tex]
[tex]x=\frac{-4 \pm 4\sqrt{2}}{2}[/tex]
[tex]x=-2 \pm 2\sqrt{2}[/tex]
Hence finall answer is:
[tex]x=-2+2\sqrt{2}[/tex] and [tex]x=-2-2\sqrt{2}[/tex]
What is an equivalent expression to q(2a+1)
You can distribute the q to both terms to get
[tex] q(2a+1) = q\cdot 2a + q\cdot 1 = 2aq+q [/tex]
Answer:
2aq +q is an equivalent expression for q(2a+1)
Step-by-step explanation:
an equivalent expression to q(2a+1)
To get equivalent expression we need to multiply q inside the parenthesis
q times 2a = 2aq
q times 1 is q
Now we combine both term
q(2a+1)= 2aq + q
So 2aq +q is an equivalent expression for q(2a+1)
barry is shopping for a new sweater that originally cost $50.00. The department store has all items marked down by 20%. He also has a coupon for an additional 10% off all purchases
Total cost of the purchase by Barry is given by the equation A = $ 36 and the amount saved by Barry is $ 14
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of all the purchase by Barry be A
Now , the equation will be
The cost of the sweater = $ 50
The marked down percentage of sweater = 20 %
So , the new cost of the sweater = cost of the sweater - ( marked down percentage x cost of the sweater )
Substituting the values in the equation , we get
The new cost of the sweater = 50 - ( 20/100 ) x 50
The new cost of the sweater = 50 - 10
The new cost of the sweater = $ 40
Now , the coupon discount percentage = 10 %
So , the final cost of the purchase A = new cost of the sweater - ( coupon discount percentage x new cost of the sweater )
Substituting the values in the equation , we get
The final cost of the purchase A = 40 - ( 10/100 ) x 40
The final cost of the purchase A = 40 - 4
The final cost of the purchase A = $ 36
So , the amount saved by Barry = cost of the sweater - final cost of the purchase
The amount saved by Barry = 50 - 36 = $ 14
Hence , the cost of the sweater is $ 36
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Ethan burns 650 calories when he runs for 1 hour suppose he ran 5 hours in a week
What is the value of m inthe figure below? In this diagram, ABD~BCD
Answer:
C. sqrt(95)
Step-by-step explanation:
The three triangles are similar, so you can use the right triangle altitude theorem.
(14 + 5)/m = m/5
19/m = m/5
m^2 = 19 * 5
m^2 = 95
m = sqrt(95)
Answer: C. sqrt(95)
Look at the following sequence. 128, 320, 800, 2000, . . . If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.” 4 not geometric 2.5 1200
Answer:
It is a geometric sequence en the common ratio is: [tex]r=\frac{5}{2}[/tex].
Step-by-step explanation:
1. By definition, a geometric sequence is a sequence in which you obtain a term by multiplying the previous one by a common ratio.
2. The common ratio is obtained by dividing a term by its preceding term.
3. Keeping this on mind, you have:
[tex]\frac{320}{128}=\frac{5}{2}\\[/tex]
[tex]\frac{800}{320}=\frac{5}{2}[/tex]
[tex]\frac{2000}{800}=\frac{5}{2}[/tex]
4. As you can see, the common ratio is [tex]\frac{5}{2}[/tex]
Answer:
2.5!!
Step-by-step explanation:
100% correct
Zoe counts 4 times as many black kittens as white kittens for sale at the pet store. She counts a total of 25 kittens how many more black kittens does zoe count than white kittens
Answer:
Zoe counted 20 more black kittens than white kittens.
Step-by-step explanation:
Let the white kittens be = x
Then the black kittens be = 4x
Zoe counts a total of 25 kittens.
So, we get;
[tex]x+2x=25[/tex]
=> [tex]5x=25[/tex]
Dividing both sides by 5, we get;
x = 5
White kittens are = 5
Black kittens are = [tex]4\times5=20[/tex]
So, the black kittens are [tex]25-5=20[/tex] more than white ones.
Therefore, Zoe counted 20 more black kittens than white kittens.
Are the diagonals of a parallelogram perpendicular? Why or why not? Explain.
No. A parallelogram has 2 sets of parallel lines, each the same length. This doesn't mean that the angles are perpendicular.
In which measurement situations would the most appropriate unit of measurement be meters?
Choose exactly two answers that are correct.
A.
width of a finger
B.
height of a tree
C.
depth of a well
D.
distance from the earth to the sun
Which function is a horizontal compression of its parent function f(x)=x^7 by a factor of 4
Answer:
[tex]r(x)=(4x)^7[/tex]
Step-by-step explanation:
For a horizontal compression, we multiply whole numbers greater than 1 in front of [tex]x[/tex] of the given function.For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of [tex]x[/tex] of the function.For example,
If we wanted to horizontally compress [tex]y=x^2[/tex], we would multiply by 4 to get [tex]y=(4x)^2[/tex], and
if we wante to horizontally expand [tex]y=x^2[/tex], we would multiply by [tex]\frac{1}{4}[/tex] to get [tex]y=(\frac{1}{4}x)^2[/tex]
Since this question asks for horizontal compression, we multiply the [tex]x[/tex] of the function by 4. So the function we need is [tex]f(x)=(4x)^7[/tex]. The second choice is correct.
The length of 13 pink earasers lined up end to end is 29 1/4 inches. What would be the length of two earaser?
Select the graph that best represents the statement.
A ray has one point at a given distance from the endpoint of the ray.
The first Graph is correct.
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We know that a ray is a line that has one end point and extends infinitely from the other end.
i.e. it is a line that originates at a point and goes to infinity.
Now, it is given that:
A ray has one point at a given distance from the endpoint of the ray.
The graph that describes this statement is attached to the answer.
( while the other graph describes that there is a line that passes through the line segment AB.
Since it extends to infinity in both the direction )
Last week you worked the following hours: Monday, 5½ Wednesday, 6¾ Friday, 4½ How many hours did you work in all last week? A. 16¾ B. 17½ C. 17¾ D. 18½
Answer:
A. 16¾
Step-by-step explanation:
We will convert all the mixed fractions to improper fractions.
Monday, 5½ = [tex]\frac{11}{2}[/tex]
Wednesday, 6¾ = [tex]\frac{27}{4}[/tex]
Friday, 4½ = [tex]\frac{9}{2}[/tex]
Now, we will add all these fractions by taking the LCM of denominator.
The LCM of 2,4 and 2 is 4.
We get the following result after addition.
[tex]\frac{11}{2} +\frac{27}{4} +\frac{9}{2}[/tex]
= [tex]\frac{22+27+18}{4}[/tex]
= [tex]\frac{67}{4}[/tex] hours
In mixed fraction it becomes 16¾ hours.
The value of zlatan's house has increased by 7%. His house is now valued at £749000 work out the value of the house before the increase
Answer:
Value of house before Increase = $700000.
Step-by-step explanation:
Let the value of house before increase be $x.
Increase in value = 7%of x= .07x
Value of house before increase+ Increase in value = Total value.
x+.07x=749000
Adding like terms,
1.07x=749000
Dividing both sides by 1.07.
x=700000.
Value of house before Increase = $700000.
1.
according to this property, x + 0 = x
a. Commutative
b. Associative
c. Distributive
d. Identity
e. Inverse
2.
The proper sequence to use in solving 3x - 2 = 60 is:
a. Divide by 3 . add 2
b. add 2 . Divide by 3
c. Multiply by 3 . Subtract 2
d. Subtract 2 . multiply by 3
3.
-3 is a solution of y > -2
a. True
b. False
4.
Write the given equation in slope-intercept form, y = mx + b, by solving for y
4x - 2y = 10
a. y = 2x - 5
b. y = -4x - 5
c. y = 2x + 5
d. y = -2x - 5
5. The point (3,0) is a solution of the equation y = 2x - 11
a. True
b. False
6.
Calculate the slope of the points (-2,-1) and (3,4)
a. 1
b. 2
c. 3
d. 4
7.
When solving a system of equations, you are finding the _______.
a. place where the slope rises
b. place where the slope runs
c. intersection point
8.
solve the following system of linear equations
3x + 2y = 10
2x + 3y = 15/12
a. no solution
b. y = (-3/2)x + 5
c. x = 3, y = -1/2
d. x = 3, y = 1/2
please help
1. D
2. D
I don't know the answer to number 3 sorry.
Answer with explanation:
1. x+0=x
0 is the identity element.When number is added to identity the resultant is number.
Option D : Identity
2.
3x-2=60
Adding 2 on both sides
→3x-2+2=60+2
→3x=62
Dividing by 3, on both sides
[tex]x=\frac{62}{3}[/tex]
Option (B.)→ Add 2 . Divide by 3
3.
y> -2,
y=(-2, Infinity)
So, -3 is not the solution of ,y>-2.
Option A: False
4.
The equation in slope-intercept form, is, y = mx + b.
4x-2y=10
4x=2y+10
2y=4x-10
Dividing by 2, on both sides
y=2x-5
Option A:→y=2x-5
5.
The equation of line is
y=2x-11
We have to check whether point (3,0) lies on the line or not.
LHS=y=0
RHS=2x-11
=2 ×3-11
=6-11
= -5
So, point (3,0) does not lie on the line,→y=2x-11.
Option B : False
6.
Slope of line joining the points (-2,-1) and (3,4) is
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m=\frac{4+1}{3-(-2)}\\\\m=\frac{5}{5}\\\\m=1[/tex]
Slope=1
Option A
7.
When solving a system of equations, you are finding the
Option C: Intersection point
8.
[tex]3x + 2y = 10------(1) \\\\2x + 3y = \frac{15}{12}-----------(2)\\\\1+2\\\\5x+5y=\frac{135}{12}\\\\x+y=\frac{27}{12}-----(3)\\\\1-2\\\\x-y=\frac{105}{12}-----(4)\\\\ 3+4\\\\2x=\frac{132}{12}\\\\2x=11\\\\x=\frac{11}{2}\\\\y+\frac{11}{2}=\frac{27}{12}\\\\y=-\frac{11}{2}+\frac{27}{12}\\\\y=\frac{-39}{12}[/tex]