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snow_tiger [21]
3 years ago
15

Draw a tape diagram to represent the following equation: 3x + 15 = 90

Mathematics
2 answers:
Sladkaya [172]3 years ago
6 0

Answer:

3x + 15 = 90

3x = 90 - 15

3x = 75

x = 25

Vikentia [17]3 years ago
3 0

Answer:

25

Step-by-step explanation:

Subtract 15 from both sides then divide by 3.

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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
3 years ago
Farmers mowed 60 acres of grass a day instead of 50 and managed to finish the task one day earlier than planned. What is the are
schepotkina [342]
 300 acres. because <span>multiply 60 by 5.</span>
6 0
3 years ago
Which number line best shows how to solve −8 − (−2)?
Flauer [41]

Answer:

It would be the third one

Step-by-step explanation:

The one with the shortest top arrow because if you have -8 and you minus that by -2 that cancels out and instead the minus turns into a plus and the 2 becomes positive therefore it becomes -6

7 0
2 years ago
-3x + 1 + 10x = x + 4<br><br> x = 12<br> x = 18
s344n2d4d5 [400]

-3x + 1 + 10x = x + 4

-3x +10x -x = 4 -1

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x = 3/6

3 0
3 years ago
Identify each number as rational or irrational.
emmasim [6.3K]

Answer:

1. Rational

2. Irrational

3. Irrational

4. Rational

5. Irrational

Step-by-step explanation:

Rational numbers are numbers you can identify as the ratio of two integers. Which means they don't go on forever. 1 and 4 are both rational numbers while 2, 3, and 5 are irrational.

4 0
3 years ago
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