How would you solve |10+4x|<14
And how would you graph it on a number line?

Answer:

She must ride 4 or more times

Step-by-step explanation:

3t+ 10 ≥22

Subtract 10 from each side

3t+ 10-10 ≥22-10

3t ≥12

Divide each side by 3

3t/3 ≥12/3

t ≥4

She must ride 4 or more times

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

Answer:

x12

Step-by-step explanation:

Answer:

Third one: 2(2a-3b+c)+c

Step-by-step explanation:

Hope this helped:)

Because for any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.

What is infinite solution of any variable?

In any equations, any value for the variable makes the equation true or we can say that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.

Now,

For any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.

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Answer:

Answr is: -2

Step-by-step explanation:

On the coordinate grid, the value of x when f(x)=1 is A

The graph is given as:

y = f(x)

When f(x) = 1, we have:

y = 1

On the coordinate grid,

When y = 1, the value of x is 3

Also, the point A is located at (3,1)

Hence, the value of x when f(x)=1 is A

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Answer:

Positive, Negative, One negative and one positive

Step-by-step explanation:

a refers to whether the parabola opens upwards/downwards

c refers to y-inercept

solutions to the curve is dependent on the x intercepts

This question demands knowledge on quadratic graphs. If you would like to venture further, you can check out my Instagram page (learntionary). I posts math tips and notes. Thanks!

The true statements are:

The equation is given as:

[tex]\mathbf{y =ax^2 + bx + c}[/tex]

The graph is an illustration of a parabola.

When a parabola opens up, then the value of (a) is positive

c represents the y-intercept i.e. the point where the graph crosses the y-axis.

From the sketch, the graph cross the y-axis below the origin.

So, the value of (c) is negative

The graph crosses the x-axis, at either sides of the origin.

So, the solutions are one negative and one positive.

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Answer:

A. y = 1.5m + 7

B. at 7 months the baby will weigh 17.5 pounds

C. Since the baby is born weighing 7 pounds, at 0 months he will weigh 7 pounds. This tells us that the y-intercept will be seven. And since the baby is gaining 1.5 pounds every month, this means that the slope will be 1.5 and m will be the x of our y = mx + b equation. For part B, we simply plug in 7 to m and solve by multiplying 1.5 and 7 to get 10.5, then adding 7 to get 17.5.

Answer:

3 hours

Step-by-step explanation:

11 / 33 =3

11 x 3 = $33

Answer:

3

Step-by-step explanation:

If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.

Answer: 4

Step-by-step explanation:

Answer:

5518

Step-by-step explanation:

The quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The numbers are 154,504 and 28

From the question:

= 154,504 ÷ 28

Or

= 154,504/28

After applying the arithmetic operation:

= 5518

Thus, the quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.

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Answer:

Negative

Step-by-step explanation:

It's negative because there are 59 negatives and 8 positives. Since there are more negatives the sum is negative.

-59+8 = -51

Hope this helps ya!

The x-intercepts of the graph of the quadratic function is 1, 3.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0

Now the quadratic function is,

y = x² - 4x + 3

Now for x-intercepts, y = 0.

⇒ x² - 4x + 3 = 0

Factoring we get,

⇒ x² - 3x - x + 3 = 0

⇒ x(x - 3) - 1(x - 1) = 0

⇒ (x - 1) (x - 3) = 0

Thus we get,

x = 1, 3

this is the required x-intercepts of the graph of the quadratic function.

Thus, the x-intercepts of the graph of the quadratic function is 1, 3.

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9514 1404 393

Answer:

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

  LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

Answer:

e= 25/75

f= 33%

Step-by-step explanation:

I got it right!!

Answer:

e = 25/75 ?

f = 33%

Step-by-step explanation:

i did this and i think i got right, but let me know if its wrong :)

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

[tex]y=-0.0625x^2+1.25x+5.75[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]

Equating with zero

[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]

Double derivative of the equation

[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]

So, the function is maximum at [tex]x=10[/tex]

[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]

The function is maximum at [tex](10,12)[/tex]

So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.

Now truck is 11 feet tall so [tex]y=11[/tex]

[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]

The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

Answer:

quoitent will be 0.086368

hope it help u dear

9514 1404 393

Answer:

  350,000

Step-by-step explanation:

The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...

  x = -(140)/(2(-0.0002)) = 1,400,000/4

  x = 350,000

350,000 units should be sold to maximize profit.

Answer: They will save $6

Step-by-step explanation:

Science Center

There are 12 students and tickets are 3 for $36.75. There are 4 groups of 3 students, so we can find the price for the science center by multiplication:

4 x 36.75 = 147

Zoo

There are 12 students and tickets are 4 for $51. There are 3 groups of 4 students, so we can find the price for the zoo by multiplying, too:

3 x 51 = 153

To find out how much a group of 12 will save by choosing the science center we subtract

153 - 147 = 6

They will save $6

Answers & Explanations:

The answer to A. is incorrect.

The answer to B. is correct.

The answer to C. is incorrect.

The answer to D. is incorrect.

The answer to E. is correct.

The answer to F. is correct.

hope this helps :)

The expression √(75/15) is equivalent to √(15/3), √5, and √(25/5). Then the correct options are B, E, and F.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ √(75/15)

Simplify the expression, we have

⇒ √(15/3)

⇒ √5

Or √(25/5)

Then the correct options are B, E, and F.

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Step-by-step explanation:

4m−3(2m+1)

Distribute:

=4m+(−3)(2m)+(−3)(1)

=4m+−6m+−3

Combine Like Terms:

=4m+−6m+−3

=(4m+−6m)+(−3)

=−2m+−3

Answer:

=−2m−3

Answer:

-2m-3

Step-by-step explanation:

leave 4m alone in the beginning

distribute -3 to 2m and 1

-3(2m+1)

(-6m-3). Then put the 4m behind the 6

4m-6m-3(subtract like terms)

-2m-3 (final answer)

Answer:

when u subtract fractions u have to make sure they have a common denominator so u can subtract evenly so say I have 2/5 - 4/6 i have to make a common  denominator of 30 so the 2/5 would turn to 12/30 and the 4/6 would be 20/30 then you do 20-12 to get 8/30 and with mixed fractions u do the same exept  multiply the denominator by the whole then add the neumorator to the number u just got and add them together and then subtract.  

hope this helped :)    

Step-by-step explanation:

Answer:

The statements which are true:

A. Line 4y = −16 is horizontal.

B. Line 3x = 27 is vertical.    

D.  For either line, one of the coordinates of all the points is always the same value.                

Answer:

Step-by-step explanation:

GCF of 9,12 and 6 is 3. 3 can go into both evenly

Answer:

the answer is 3.

Step-by-step explanation:

3"2=6

3*3=9

3*4=12

hope this helps and feel free to give brainiest

The domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given function  [tex]e^x[/tex] when we plot the graph of the function it is observed that all the graph of the function varies in the positive part of y. The ranges of the function lie at y > 0 and the domain will be all the real numbers.

Therefore the domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.

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56

20/35 = 35/x

20x = 32(35)

Divide both sides by 20 to solve for x

X = 1120/20

X = 56

The missing side length of the given image is 56 so x = 56 will be the correct answer.

A line section that can connect two places is referred to as a segment.

Lines are very useful and common in geometry we daily use them.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In other words, the line is a straight figure which has zero width and infinite length but if we take a segment then it is called a line segment which will be finite.

Given in the image 3 lines are parallel and intersect two lines that are randomly inclined.

Let's say the missing length is x

By geometrical similarity rule

x/32 = 35/20

x = 32 × 35/20

x = 56 hence 56 will be the missing side length of the given figure.

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Answer:

-1/5

Step-by-step explanation:

6/5=-18/x

6/5×-1/18=x

-1/15=x

Answer:

-15

Step-by-step explanation:

[tex]\frac{6}{5} = \frac{-18}{x}[/tex]

cross multiply

6 × x = -18 × 5

6x = -90

x = -90/6

x = -15

hope this helps you!

Answer:

[tex]x=5\\y=5[/tex]

Step-by-step explanation:

I solved using substitution

−1.6x−3.2y=−24

−1.6x=−24+3.2y

−1.6x=3.2y−24

[tex]x=-\frac{3.2y-24}{1.6\\}[/tex]

2.6x+2.6y=26

−2.6y+39=26

−2.6y+39=26

−2.6y=26−39

−2.6y=−13

y =5

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