if a= -0.5 and b=5, find the value of 4a+b

Answers

Answer 1

When [tex]\(a = -0.5\) and \(b = 5\), the value of \(4a + b\) is \(3\).[/tex]

To find the value of [tex]\(4a + b\) when \(a = -0.5\) and \(b = 5\)[/tex], we simply substitute the values of a and b into the expression 4a+b and then perform the arithmetic.

Given that [tex]\(a = -0.5\) and \(b = 5\)[/tex], we have:

[tex]\[4a + b = 4(-0.5) + 5\][/tex]

Now, let's calculate:

[tex]\[4a + b = -2 + 5\]\[4a + b = 3\][/tex]


Related Questions

What value of k makes the factor (x+3) a factor of the function f(x)= 3x^3–2x+k? Someone plz help!!!! It’s for pre cal! It’s using the synthetic division

Answers

Answer:

75

Step-by-step explanation:

Since x+3 is the factor of the function f(x) .

So, -3 should satisfy f(x),

Thus putting -3 in f(x) we get

                       3×[tex](-3)^{3}[/tex]-2×(-3)+k = 0

                       -81+6+k = 0

                         k = 75.

So , k should be equal to 75.

Find the sum -6+3 explanation for this answer

Answers

Answer:

-3

Step-by-step explanation:

-3-3=-6

Answer:

-3

Step-by-step explanation:

ok so -6 +3

-6 is negative and when you add the 3 you move to the left closer to the 0

you end up with -3

Use the scale drawing below to determine how wide the duck pond is.

A.
9 feet


B.
18 feet


C.
27 feet


D.
36 feet

Answers

Answer: The answer is C. 27 feet

Explanation: This is because the width of the Duck Pond is 6 squares. You multiply 6 by 4.5 because each square is 4.5 feet

Hope this helped!!

Answer:

C 28ft on edg 2021

The seventh grade class supplied bags of snacks and beverages for the school dance They supplied19 more beverages than bags of snacks The dance was supplied with a total of 371 items.

Answers

Answer:

The number of number of bags of snacks = m  = 176

The number of beverages supplied = m + 19  = 176 +9 = 185

Step-by-step explanation:

Let us assume the number of bags of snacks = m

So, the number of beverages supplied = m + 19

Total number of items supplied  =  371

⇒ Number of (snacks + beverages) supplied=  371

⇒   m + (m +19)  = 371

or, 2 m = 371 - 19 =  352

or, m =  352 / 2 = 176  

⇒  m  = 176

Hence the number of number of bags of snacks = m  = 176

So, the number of beverages supplied = m + 19  = 176 +9 = 185

Monica and fill each have part-time jobs Monica makes twice as much money in a week as Phil if the total of their weekly earnings is 825 how much does each person make​

Answers

Monica makes $550 and Phil makes $275 per week

Step-by-step explanation:

Monica and Phil each have part-time jobs

Monica makes twice as much money in a week as PhilThe total of their weekly earnings is $825

We need to find how much each person make​s

Assume that Phil makes $x in a week

Phil makes $x per week

∵ Monica makes twice as much money in a week as Phil

Monica makes = $2x per week

∵ The total of their weekly earnings is 825

- Add their weekly earnings

x + 2x = 825

- Add the like terms

∴ 3x = 825

- Divide both sides by 3

x = 275

- Find 2x

2x = 2(275) = 550

Monica makes $550 and Phil makes $275 per week

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Find the prime factorization of 70

Answers

Answer:

2*5*7

Step-by-step explanation:

2*5=10

10*7=70

1. Write the next two terms in the pattern.
11, 18, 25, 32.

A.42. 49
B.39, 46
C.38, 45
D.40, 48

2. Find the missing term.
180. 30.5

A.1080
B.900
C.330
D.210​

Answers

Answer:

1. B

2. A

Step-by-step explanation:

1. The terms seem to be increasing by a constant of 7.

11+7=18

18+7=25

25+7=32

Therefore, the next two terms should be 32+7 and 32+7+7. This equals 39 and 46.

2. The terms in this pattern are being divided by 6

180/6=30

30/6=5

In order to find the missing number before 180, we need to multiply 180 by 6. 180 times 6 is equal to 1080.

hi ur answer would be 39,46

Step-by-step explanation: here's my explanation as u can see it 11 into 18 is adding 7 and for all of them the pattern is plus 7 so u do 32+7=39 and then u do 39+7=46 and thats how u get B.39,46

Elliot is standing at the top of a store escalator that leads to the ground floor below. The angle of depression from the top of the escalator to the floor is 42.51 degree, and the escalator is 16 feet long. How far the top of the escalator from the ground floor? Round your answer to the nearest foot.

A. 41 feet
B. 17 feet
C. 12 feet
D. 11 feet

Answers

Answer:

The answer is 11

Step-by-step explanation:

Final answer:

The distance between the top of the escalator and the ground floor is approximately 12 feet.

Explanation:

To find the distance between the top of the escalator and the ground floor, we can use trigonometry. We have the length of the escalator (16 feet) and the angle of depression (42.51 degrees). The distance we need to find is the opposite side of the right triangle formed by the top of the escalator, the floor, and the length of the escalator. We can use the sine function to find this distance.

The formula is sin(angle) = opposite/hypotenuse. Plugging in the values, we get sin(42.51) = opposite/16. Solving for opposite, we have opposite = sin(42.51) * 16.

Using a calculator, we find that opposite ≈ 12.014 feet. Rounding to the nearest foot, the distance between the top of the escalator and the ground floor is approximately 12 feet.

What is the unit price if a package of 12 candy canes cost $4?

Answers

Answer:

$1 for every 3 candy canes

The drawing will help

what is x minus 5 equals negative 13​

Answers

x-5=-13

move -5 to the other side

sign changes from -5 to+5

x-5+5=-13+5

x=-13+5

answer:

x=-8

Using only 32-cent and 20-cent stamps, Charlie put $3.36 postage on a package he sent to his sister,
He used twice as many 32-сent stamps as 20 cent stamps. Determine how many of each type of stamp
he used.

Answers

Answer:

Charlie used 4 20-cent stamps and 8 32-cent stamps.

Step-by-step explanation:

Let the number of 20 cents stamps be [tex]x[/tex]. Then, as per question, Chalie used twice as many 32-сent stamps as 20 cent stamps.

Therefore, number of 32-cent stamps is [tex]2x[/tex].

Now, total cost of the stamps is $ 3.36 = 336 cents

Cost of 1 20-cent stamp is 20 cents. So, cost of [tex]x[/tex] 20-cent stamps is [tex]20x[/tex]. Similarly, cost of [tex]2x[/tex] 32-cent stamps is [tex]32(2x)=64x[/tex]

Total cost = [tex]20x+64x=84x[/tex]

As per question,

[tex]84x=336\\x=\frac{336}{84}=4[/tex]

Number of 20-cent stamps = [tex]x = 4[/tex]

Number of 32-cent stamps = [tex]2x=2\times 4=8[/tex]

So, Charlie used 4 20-cent stamps and 8 32-cent stamps.

Answer:

No. of 32 cent stamps = 8

and that of 20 cent stamps = 4

Explanation:

Let no. of 32 cent stamps used be x and the number of 20 cent stamps used be y.

We are given that total postage on a package put by Charlie by using only 32 and 20 cent stamps is equal to $3.36.

So, since 100 cents make one dollar, $3.36 = 336 cents.

So,

32x + 20y = 336

Also we are given that Charlie used twice as many 32 cent stamps as 20 cent stamps which can be written as,

x = 2y

Substituting this equation in previous equation we get

32 [tex]\times[/tex]2y + 20y = 336

=> 64y + 20y = 336

=> 84y = 336

=>y = 4

Putting the value of y in x = 2y we get x = 2*4 = 8

So, no. of 32 cent stamps = 8 and that of 20 cent stamps = 4

what is the first step when using order of operations​

Answers

Answer:

If there are parentheses, then you solve what's in those first.

Step-by-step explanation:

Use PEMDAS to help you remember.

P- Parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

exponential function f(x) has a y intercept of 3 and an x intercept of -2. the function is always increasing as the value of x increases, but the function never reaches y=4

would it be decreasing or increasing and will it point down or up?
PLZ ANSWER ASAP

Answers

Answer:

[tex]f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]

The exponential function is increasing and is concave down

Step-by-step explanation:

Let the equation of exponential function be

[tex]f(x)=a\cdot b^x+c,\ ,\ b>0[/tex]

1. Exponential function f(x) has a y intercept of 3, so the graph of f(x) passes through the point (0,3). Thus,

[tex]3=a\cdot b^0+c\\ \\3=a+c[/tex]

2. Exponential function f(x) has an x intercept of -2, so the graph of f(x) passes through the point (-2,0). Thus,

[tex]0=a\cdot b^{-2}+c\\ \\0=\dfrac{a}{b^2}+c[/tex]

3. Function is always increasing as the value of x increases, but the function never reaches y=4, so

[tex]c=4[/tex]

Hence,

[tex]\left\{\begin{array}{l}a+4=3\\ \\\dfrac{a}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\\dfrac{-1}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\b^2=\dfrac{1}{4}\end{array}\right.[/tex]

So,

[tex]a=-1,\\ \\b=\dfrac{1}{2},\\ \\c=4,\\ \\f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]

What is X-1/4 - x+2/5=-1

Answers

Answer:

x = -7

Step-by-step explanation:

(x-1)/4-(x+2)/5=-1

[5(x-1) - 4(x+2)]/20 = -1

5x-5-4x-8 = -20

x-13= -20

x= -20 +13

x= -7

What is what is the answer for this 2x+3-x>5

Answers

Answer:

[tex]\large\boxed{x>2\to x\in(2,\ \infty)}[/tex]

Step-by-step explanation:

[tex]2x+3-x>5\qquad\text{subtract 3 from both sides}\\\\2x-x>5-3\\\\x>2[/tex]

answer for this problem would be x>2

Robert has 20 blueberries. He has 10 more blueberries than Janessa. He has 14 fewer blueberries than Amari. How many blueberries does Janessa have? How many blueberries does Amari have?

Answers

Answer: Janessa has 10 Amari has 34

The number of blue berries with Janessa and Amari are 10 and 34 respectively.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Robert who has 20 blueberries such that he has 10 more blueberries than Janessa and 14 fewer blueberries than Amari.

Assume that the number of blue berries with Janessa and Amari are x and y respectively. We can write the following modelled equations as -

20 = x + 10

20 = y - 14

Solving, we get -

x = 10

y = 34

Therefore, the number of blue berries with Janessa and Amari are 10 and 34 respectively.

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How can you describe the graph of the equation y = m
+ b?

Answers

Answer:

Step-by-step explanation:

y=mx+b is the formula for slope y-intercept form.

Enter the equation of the line in slope-intercept form. Slope is − 1 /2 , and (−3, 4) is on the line. The equation of the line is y =

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex], thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 4 - [tex]\frac{3}{2}[/tex] = [tex]\frac{5}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← equation of line

Answer:The equation of the line is;

Step-by-step explanation:

Which is the largest number? 8.2, 7.98, 8 9/10, 7 8/9

Answers

Answer:

8 9/10 is the largest number

Answer:

8 9/10

Step-by-step explanation:

8 is first off larger than 7 so that rules out all the 7 numbers

And 9/10 is .9 so that would make it 8.9 which is greater than 8.2

Elliott is counting the change from a class fundraiser. He has half as many quarters as nickels, and he has 7 fewer dimes than nickels. The total value of coins is $5.90. He wrote the equation 0 Which statements identify Elliott’s errors? Check all that apply. He should have written the expression for the number of dimes as x – 7. He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25. He should have written the coin value for the nickel as 0.05. He should have translated the scenario as value of all dimes = value of all nickels and value of all quarters = value of all nickels. He should have written the expression for number of nickels as 2x.

Answers

The equation written by Elliot, which was not included in the question, is:

[tex]0.10(7-x)+0.5(x)+0.25(0.5x)=5.90[/tex]

The statements from which you have to identify the errors are:

a) He should have written the expression for the number of dimes as x – 7.

b) He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25.

c) He should have written the coin value for the nickel as 0.05.

d) He should have translated the scenario as the value of all dimes = value of all nickels and value of all quarters = value of all nickels.

e) He should have written the expression for the number of nickels as 2x.

Answer:

There two errors:

First statement: He should have written the expression for the number of dimes as x - 7.

Third statement: He should have written the coin value for the nickel as 0.05

Explanation:

I will start by writing the correct expression following the statements step-by-step:

1) He has half as many quarters as nickels

Name x the number of nickels: x

The number of quarters is half the number of nickels: x/2

2) He has 7 fewer dimes than nickels.

That is: x - 7

3) Mulitiply each number of coins by its value in dollars:

Dimes: (x - 7) × 0.10 = 0.10 (x - 7)

Nickles: x × (0.05) = 0.05x

Quarters: x/2 × 0.25 = 0.25×  (1/2 × x) = 0.25 (0.5x)

4) Add he values of all the coins:

0.10 (x - 7) + 0.05x + 0.25x

5) Equal to the total value of $ 5.90:

0.10 (x - 7) + 0.05x + 0.25x = 5.90

6) Compare with the equation written by Elliot:

0.10 (7 - x) + 0.5(x) + 0.25(0.5x)=5.90

7) Conclusion:

There are two errors:

He wrote 7 - x, instead of 7 - x. That means that the first error was indicated by the first statement: He should have written the expression for the number of dimes as x - 7.

He wrote 0.5x instead of 0.05x. That means that the second error was indicated by the third statement: He should have written the coin value for the nickel as 0.05.

Answer:

for the people on edgen the answer is the first and the third options

Step-by-step explanation:

uhhh

The 300 students at a school voted on four possibilities for an end-of-the-year event. The results are shown in the graph below.How many more students wanted to go to an amusement park than to a baseball game?

Answers

Step-by-step explanation:

44-18=26

if 300=100 percent

? =26 percent

26×300=7800

7800÷100=78

the answer is 78 students

2 to the 3rd power times 5 to the 2nd power

Answers

Answer:

2^3 * 5^2

2*2*2 * 5*5

8 * 25 = 200

Step-by-step explanation:

2^3 * 5^2

2*2*2 * 5*5

8 * 25 = 200

An expression can be written in rational form by

writing it as a fraction with a denominator of

Answers

Answer:

denominator of 1

Step-by-step explanation:

An expression can be written in rational number by writing 1 in the denominator then it will become a fraction and  a rational number

Answer:

A rational numbers can be defined as numbers that can be expressed as the quotient between two integers.

This means that a whole number can be expressed as a rational number by just adding 1 into its denominator

[tex]2 \implies \frac{2}{1}[/tex]

That way the whole number would be a rational number, becase 2 and 1 are integers.

Therefore, an expression can be written in rational form by  writing it as a fraction with a denominator of 1.

This pair of figures is similar. Find the missing side.​

Answers

Answer:

x = 12

Step-by-step explanation:

If given figures are similar, then corresponding sides are in proportion.

Therefore we have the equation:

[tex]\dfrac{x}{3}=\dfrac{56}{14}[/tex]           cross multiply

[tex](14)(x)=(3)(56)[/tex]

[tex]14x=168[/tex]            divide both sides by 14

[tex]\dfrac{14x}{14}=\dfrac{168}{14}[/tex]

[tex]x=12[/tex]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the missing side is 12 units.

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

For two similar figures, the ratio of any two corresponding sides is in ratio, therefore, the length of the unknown side can be written as,

(10/40) = (14/56) = (14/56) = (3/x)

1/4=3/x

x = 12

Hence, the length of the missing side is 12 units.

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“A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin V, which is 250 % of the daily recommend allowance of vitamin C for adults. What is 100% of the daily reccomended allowance of vitamin C for adults?”

Answers

Answer:

80 milligrams

Step-by-step explanation:

Write a proportion and solve.

200mg / 250% = x / 100%

x = 80mg

The following table list two investment plans, A and B. Given this information, determine which investment is an ordinary annuity
and the future value of the ordinary annuity after one year, given that both investments, A and B, compound interest monthly at
the rate of 3.5%. Round to the nearest cent.
Sept.
oct.
Nov
a.
b.
C.
d.
Jan Feb Mar Apr May Jun Jul Aug Sept.
350 350 350 350 350 350 350 350 350 350 350
350 350 350 350 350 350 350 350 350 350 350
Investment A is an ordinary annuity with $3.918.03 in the account after 1 year
Investment B is an ordinary annuity with $3,918.03 in the account after 1 year
Investment A is an ordinary annuity with $3,906.64 in the account after 1 year
Investment B is an ordinary annuity with $3,906.64 in the account after 1 year

Answers

Answer:

its D my  man go the answer sheet

Step-by-step explanation:

Answer:

d.

Investment B is an ordinary annuity with $3,906.64 in the account after 1 year

Step-by-step explanation:

Which equation can be used to find the unknown length, a, in this triangle?
15 m
17 m
3+15² = 172
152 +172 - a
2² +15= 172
at 15² = 17²

Answers

Answer:

Here is the complete question.(attachment)

The correct choice is [tex]a^2+15^2=17^2[/tex]

Step-by-step explanation:

We will apply the Pythagoras formula to calculate the perpendicular length (a).

Pythagoras formula [tex]=(base)^2+(perpendicular)^2=(Hypotenuse)^2[/tex]

The right angle is formed between [tex]a[/tex] and [tex]15\ m[/tex] length.

So [tex]17\ m[/tex] is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.

So

[tex](a)^2+(15)^2=17^2[/tex]

[tex]a=\sqrt{17^2-15^2}= 8\ m[/tex]

So the measure of side length [tex]a[/tex] is [tex]8\ m[/tex].

That can be calculated from the option A that is [tex](a)^2+(15)^2=17^2[/tex].

Note:Please don't look to the marked answers that was wrong in the attachment.

Answer:

Yes it is A

Step-by-step explanation:

A fraction with a zero in the numerator equals

Answers

Answer: With any number if the 0 is at the Numerator it will always be 0

Step-by-step explanation:

If a 0 is at the Denominator it will be Undifined

I need help trying to get the value of the x angle, here's an image of it

Answers

Answer:

x = 20°

Step-by-step explanation:

See the attached diagram.

Given that B and C are the two centers of two equal circles.

Now, ∠ ECD = 80° also given.

Now, Δ BCE is an isosceles triangle as BC = CE = Radius of the circle.

So, ∠ EBC = ∠ CEB.

Now, ∠ ECD = ∠ EBC + ∠ CEB = 80°

⇒ 2 ∠ EBC = 80°

∠ EBC = 40°

Again, the triangle Δ ABF is an isosceles triangle as AB = BF = Radius

So, ∠ BAF = ∠ BFA = x°

Now, ∠ EBC = ∠ BAF + ∠ BFA = 40°

⇒ x° + x° = 40°

⇒ 2x = 40

x = 20° (Answer)

help PLZ i’m just trying to finish this without getting any wrong

Answers

Answer:

The arrangement of the given equation in the slope - intercept form are

1. [tex]y = 1x +82[/tex]  

Step-by-step explanation:

Given:

Let  A ≡ ( x1 , y1 )   ≡ (-12 , 70)

       B ≡ ( x2 , y2 ) ≡ (-4 , 78)

Slope - intercept form :

[tex]y=mx+c[/tex]

Where,

m is the slope of the line.

c is the y-intercept.

When two points are given say ( x1 , y1 )  and ( x2 , y2)  we can remove slope by  

Slope,

[tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

∴ [tex]m =\frac{78-70}{-4--12}\\m =\frac{8}{-4+12}\\m =\frac{8}{8}\\ m= 1[/tex]

Now equation of a line  for a point ( x1 , y1 )  and having slope m is given as,

[tex](y-y_{1})=m(x- x_{1})\\ \textrm{substituting ( x1 , y1 ) and m we get}\\y-70=1(x-(-12))\\y= x+12+70\\y=x+82[/tex]

Which is in the required form

y = 1x + 82

Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.

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